Advanced Operational Research
运筹学完整版胡运权
运筹学简述
运筹学的历史
“运作研究(Operational Research)小组”:解决复 杂的战略和战术问题。例如：
1. 如何合理运用雷达有效地对付德军德空袭 2. 对商船如何进行编队护航，使船队遭受德国潜
艇攻击时损失最少； 3. 在各种情况下如何调整反潜深水炸弹的爆炸深
度，才能增加对德国潜艇的杀伤力等。
线性规划问题的数学模型
Page 16
2. 线性规划的数学模型由三个要素构成 决策变量 Decision variables 目标函数 Objective function 约束条件 Constraints
怎样辨别一个模型是线性规划模型？
其特征是： （1）问题的目标函数是多个决策变量的线性函数， 通常是求最大值或最小值； （2）问题的约束条件是一组多个决策变量的线性不 等式或等式。
x3) x3)
x5 2 5
x1 , x2 , x3 , x3, x4 , x5 0
Page 25
线性规划问题的数学模型
Page 26
4. 线性规划问题的解
线性规划问题
n
max Z c j x j (1) j1
s.t
n j1
aij x j
bi
(i 1,2,, m)
每年节约成本600万美元 每年节约成本7000万
优化商业用户的电话销售中心选址
控制成本库存（制定最优再定购点和定购 量确保安全库存） 制定最优铁路时刻表并调整铁路日运营量
优化员工安排，以最低成本服务客户
每年节约成本4.06亿美元，销 售额大幅增加 每年节约成本380万美元
每年节约成本1500万美元， 年收入大幅增加。 每年节约成本1300万美元
绪论
annal of operations research好中吗
annal of operations research好中吗
《ANNALS OF OPERATIONS RESEARCH》是一本以英文为主的未开放获取国际优秀期刊，中文名称为《运筹学年鉴》，主要报道管理科学-运筹学与管理科学领域的研究动态以及在该领域取得的各方面经验和科研成果，介绍该领域有关本专业的最新进展，探讨行业发展的思路和方法，以促进学术信息交流，提高行业发展。
该刊已被国际权威数据库SCI、SCIE收录，最新影响因子为4.82，最新CiteScore指数为6.1。
根据网友的评价，该刊在领域内口碑较好，同行评议意见专业，审稿周期稍长。
此外，该刊属于管理综合类，也比较喜欢管理类方向的稿件，例如决策理论和方法、数量经济理论和方法等。
运筹学基础及应用(全套课件296P) ppt课件
我国朴素的运筹学思想：田忌赛马、丁渭修皇宫
1938年英国最早出现了军事运筹学，命名为“Operational
Research”,1942年，美国从事这方面工作的科学家命其名为
“Operations Research”这个ppt课名件字一直延用至今。
2
§0.1 运筹学简述
美国运筹学的早期著名工作之一是研究深水炸弹起爆深度问 题。当飞机发现潜艇后，飞机何时投掷炸弹及炸弹的引爆引 度是多少？运筹学工作者对大量统计数字进行认真分析后， 提出如下决策：1.仅当潜艇浮出水面或刚下沉时，方投掷深 水炸弹。2.炸弹的起爆深度为离水面25英尺（这是当时深水 炸弹所容许的最浅起爆点）。空军采用上述决策后，所击沉 潜艇成倍增加，从而为反法西斯战争的胜利做出了贡献，为 运筹学增添了荣誉。
16 y3
4 X2 1Leabharlann y4X1 0 , X2 0
设第i种资源收购价格为yi,（ i=1, 2, 3, 4,） 则有 min w= 12y1 + 8y2 + 16y3 +12 y4
s.t 2y1 + y2 + 4y3 +0 y4 2
2y1 +2y2 + 0y3 +4 y4 3 yi 0, (i=1, 2, 3, 4 )
ppt课件
6
§0.2 运筹学的发展
2. 20世纪50年代初期到50年代末期——成长时期 电子计算机技术的迅速发展促进运筹学的推广； 美国的约半数的大公司经营管理中融入运筹学；
大批的国家成立运筹学会，各种运筹学刊物相继问世 ； 1957年，牛津大学，第一次国际运筹学会议 1959年，国际运筹学会 成立
ppt课件
11
第 2 章 线性规划的对偶 理论
运筹与管理相关SCI期刊
运筹与管理与本领域相关SCI期刊4ORACM Journal of Experimental Algorithms AlgorithmicaAnnals of Operations ResearchAsia-Pacific Journal of Operational ResearchCentral European Journal of Operations Research Computational Geometry: Theory and Applications Computational Optimization and Applications Computers & Industrial EngineeringComputers & Operations ResearchDiscrete Applied MathematicsDiscrete OptimizationDiscrete Mathematics & Theoretical Computer Science European Journal of Operational ResearchIIE TransactionsINFORMS Journal on ComputingInternational Journal of Computational Geometry and Applications International Transactions in Operational ResearchJournal of Discrete AlgorithmsJournal of HeuristicsJournal of the Operational Research SocietyJournal of Mathematical Modelling and AlgorithmsJournal of SchedulingLinear Algebra and its ApplicationsManagement ScienceMathematical and Computer ModellingMathematical Methods of Operations ResearchMathematical ProgrammingMathematics of Operations ResearchNaval Research LogisticsNetworksOmegaOperations ResearchOperations Research LettersOptimizationOptimization Methods and SoftwareSIAM Journal on OptimizationTransportation ScienceEI收录Journal of Algorithms and Computational TechnologyJournal of Applied Mathematics and Computing（EI 符合范围）Journal of Computational and Applied Mathematics（SCI难度不大）Journal of Systems Science and Systems Engineering（中国EI）Journal of the Operations Research Society of China（不被收录，中国刚办）Journal of Mathematical Modelling and Algorithms（不被收录，运筹优化的）The International Journal of Advanced Manufacturing Technology (SCI期刊，容易中，3个月审稿) International Journal of Innovative Computing Information and Control (SCI)International Journal of Systems Science (SCI)International Journal of Mathematics in Operational research (EI)International Journal of Mathematical Modelling and Numerical OptimisationPacific Journal of Optimization (华人多)Optimization Methods and Software (SCI期刊，据说容易中，2个月审稿，方向对口（小木虫说慢）)优化相关资料与网址收集Optimization and Operations Research:Operations Research: the science of better :/Science_of_Better/htdocs/prospect/index.aspOR directory (a bit out of date): http://www.math.tu-bs.de/mo/orlistings.htmlLP FAQs: /otc/Guide/faq/linear-programming-faq.htmlsome free software by Prof. John O. McClain:/faculty/mcclain/Software/Software.htmIFORS tutorial modules:/tutorial/benchmark for optimization software: /bench.htmlThe French OR Society /The European OR Society /The international federation of OR societies /The Canadian OR Society http://www.cors.ca/OR Society of the US /THE OR web page of Michael Trick /e-optimization /OR library of optimization instances OR-library/~mastjjb/jeb/info.htmlOperations Research Journals RSS ListOperations Research:Annals of Operations ResearchComputational Management ScienceComputers & Operations ResearchEuropean Journal of Operational ResearchINFORMS Journal on ComputingInterfacesInternational Transactions in Operational Research Journal of Optimization Theory and Applications Journal of the Operational Research Society Management ScienceMathematical ProgrammingMathematical Programming Computation Mathematics of Operations ResearchNetworksOmegaOperations ResearchOR SpectrumIndustrial Engineeing and Operations Management: Computers & Industrial Engineering International Journal of Production Economics International Journal of Production Research Manufacturing & Service Operations Management Naval Research LogisticsTransportation:Transportation Research Part B: MethodologicalTransportation Research Part E: Logistics and Transportation Review Transportation ScienceArtificial Intelligence:Advances in Engineering SoftwareApplied Soft ComputingDecision Support SystemsEngineering Applications of Artificial IntelligenceExpert Systems with Applications管理科学与运筹学(MS/OR)国际期刊最新权威排名首先声明：这份MS/OR国际期刊排名是完全根据2011年JCR（Journal Citation Reports）的Article Influence Score（AIS）而给出的。
最优化方法 1第一章
2 2
比较以上三式可得 3a yz 3a zx 3a xy 从而x=y=z=a，右侧面积固定的长方 体的最大体积客观存在，因此侧面积固定 的长方体中以正方体体积最大．
j 1
18
按经典极值问题解法可能出现不能解决的情况：
（1）当变量个数增加且方程组又是非线性，求解此方程 只有在相当特殊情况下才能人工解出．通常高等数学中的 求极值问题的变量个数一般不超过三个． （2）当限制条件出现不等式，无论变量数多少，按经典 极值方法求解根本无法解决． 要解决上述问题，直到本世纪50年代最优化理论建立 以及电子计算机的迅速发展才为求解各种最优化问题提供 了雄厚的基础和有效手段．而且最优化方法作为一门崭新 的应用学科，有关理论和方法有待于进一步发展与完善。
解设长方体的长宽高分别为体积为则依题意知体积为限制条件为由拉格朗日乘数法考虑函数xyzvvfxyzxyz??2260xyzyzxzxya??????62222?13令62222axyzxyzxyzzyxf??????202020xyzfyzyzfxzzxfxyxy??????????????????由题意可知应是正数由此将上面三个等式分别乘以并利用条件得到222230230230xyzayzxyzazxxyzaxy?????????????????
2 x1 5 x 2 40
x1 0 ， x2 0
即求
max f ( x1 , x 2 ) x1 x 2 ，
2 x1 5 x2 40， x1 0，x2 0．
16
第一个例子代表无约束极值问题： 一般地可表示为 min f ( x1 , x 2 , , x n )或 max f ( x1 , x 2 , , x n ) n 这里 f ( x1 , x 2 , , x n ) 是定义在 R 上的可微函数． 求极值的方法是从如下含有n个未知数的非线性方程组
asia-pacific journal of operational research投稿经验
asia-pacific journal of operational research投稿经验1. 引言1.1 概述本篇长文旨在分享我向ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH投稿的经验。
亚太运筹学杂志是一本面向运筹学和管理科学领域的国际期刊，它聚焦于研究和探索现代业务环境中的复杂问题，并提供解决方案和理论框架。
1.2 文章结构本文包含五个主要部分。
首先是引言部分，用于介绍背景、目的和整体的文章结构。
其次是正文部分，包括投稿前准备、投稿流程和投稿注意事项。
第三部分是实践经验分享，涵盖选题与意义、数据收集与处理方法以及方法与结果分析。
第四部分是结论与展望，总结文章的主要发现，并讨论研究局限性并展望未来的研究方向。
最后是总结与致谢部分，对整篇文章内容进行总结，并表示诚挚感谢给予支持和帮助过我的人。
1.3 目的撰写这篇长文有两个目的。
首先是为了分享我向ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH投稿的经验，希望可以给其他准备投稿的研究人员提供一些参考和指导。
其次，通过分享我的投稿经历和实践经验，我希望能够激发更多的学术交流和合作，共同推动运筹学领域的发展和创新。
总而言之，在这篇长文中，我将详细介绍如何准备投稿、投稿流程以及需要注意的事项，并分享我的选题、数据处理方法、方法与结果分析等实践经验。
最后，我将总结文章的主要发现，并对未来研究方向进行展望。
希望通过这篇文章，读者可以了解到ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH这一期刊，并从中获得有益的启示和经验。
2. 正文:2.1 投稿前准备:在准备投稿之前，我们需要做一些准备工作。
首先，我们应该仔细阅读Asia-Pacific Journal of Operational Research的投稿指南和要求。
这样可以确保我们的文章符合期刊的格式和规定。
2Research+高级研究概述
2.Advanced Research 高级研究概述What is research? ------Research starts with a question.什么是研究?——研究从一个问题开始。
Research:•often defined as systematic inquiry about a subject(Systematic points to the need to examine topics methodically in a step-by-step procedure)• A problem-solving activity– Begins with a question followed by a systematic search for pertinent information to arrive at an answer (scientific method)– Careful, organized, and well-planned investigation of a problem研究•经常被定义为对一个主题的系统调查(系统地指出需要以循序渐进的程序来检查主题)•解决问题的活动-从一个问题开始,然后有系统地搜索相关信息答案(科学方法)-仔细、组织和精心调查问题Paradigms and Methods:Quantitative and Qualitative Research模式和方法:定量与定性研究The “Scientific Method” and Quantitative Research• Quantitative researchers use deductive reasoning to generate hunches that are tested in the real world.• They typically move in an orderly and systematic fashion from the definition of a problem and the selection of concepts on which to focus, through the design of the study and collection of information, to the solution of the problem.• Quantitative researchers use mechanisms designed to control the study. Control involves imposing conditions on the research situation so that biases are minimized and precision and validity are maximized.• Quantitative re searchers gather empirical evidence—evidence that is rooted in objective reality and gathered directly or indirectly through the senses. Empirical evidence, then, consists of observations gathered through sight, hearing, taste, touch, or smell.• The degre e to which research finding scan be generalized to individuals other than those who participated in the study (referred to as the generalizability of the research) is a widely used criterion for assessing the quality of quantitative studies.“科学方法”与定量研究•定量研究人员使用演绎推理来产生在现实世界中得到验证的预感。
annal of operations research好中吗 -回复
annal of operations research好中吗-回复"annals of operations research"是一本国际性的学术期刊，主要研究运营研究领域的理论和应用。
在这篇文章中，我们将逐步回答"annals of operations research好中吗"这个问题。
我们将从"annals of operations research"的背景、历史、特点和影响力等方面来探讨。
首先，让我们简单介绍一下"annals of operations research"。
它是由Springer出版社出版的一本学术期刊，于1984年创刊。
作为一本专注于运营研究的期刊，它致力于推动该领域内的理论和实践的发展，并提供一个交流平台，让学者们分享自己的研究成果和观点。
"annals of operations research"的目标是发表高质量的研究论文，涵盖了运营研究领域的各个方面，如生产和运作管理、决策分析、优化方法等。
它涵盖的主题范围非常广泛，从传统的线性规划到最新的人工智能技术都有所涉及。
在过去的几十年里，"annals of operations research"已经成为运营研究领域中重要的学术期刊之一。
它的高影响力和声誉得益于以下几个方面：1. 学术质量："annals of operations research"对于投稿的论文有非常高的标准要求。
所有的论文都要经过匿名评审过程，确保其质量和创新性。
这一点保证了期刊上发表的文章具有一定的学术价值。
2. 学术交流："annals of operations research"作为一个学术期刊，为研究者们提供了一个交流和互动的平台。
通过发表和阅读期刊上的论文，研究者们可以了解到最新的研究进展和思想，从而推动该领域的发展。
发一篇operations research -回复
发一篇operations research -回复Operations Research (OR): An Introduction to Decision-Making[The Importance of Operations Research]Introduction:Operations Research (OR) is a multidisciplinary field that employs advanced analytical techniques to help businesses and organizations make informed decisions. With a combination of mathematical models, statistical analysis, and optimization techniques, OR provides valuable insights into complex problems and assists in improving efficiency, increasing productivity, and minimizing costs. In this article, we will delve into the core concepts of Operations Research and explore its significance in various sectors.1. What is Operations Research?Operations Research, also known as Management Science, is a scientific approach to decision-making. It aims to optimize processes, resources, and systems by utilizing mathematical and statistical models. OR encompasses a wide range of techniques, including mathematical programming, simulation, queuing theory,and network analysis.2. Applications of Operations Research:Operations Research has diverse applications across industries. Let's explore some of the main areas where OR plays a pivotal role:a) Transportation and Logistics: OR helps in designing efficient transportation networks, determining optimal routes for delivery, and allocating resources effectively. It assists companies in reducing transportation costs, enhancing delivery schedules, and improving customer satisfaction.b) Supply Chain Management: OR assists in optimizing inventory levels, analyzing demand patterns, and managing distribution channels. It aids in enhancing supply chain efficiency, minimizing stockouts, and reducing expenses associated with transportation and warehousing.c) Manufacturing and Production: OR techniques streamline production processes, including inventory management, scheduling, and quality control. By minimizing production time and costs, companies can realize higher productivity and profitability.d) Project Management: OR facilitates project scheduling, resource allocation, and risk analysis. It helps businesses in completing projects within the assigned deadlines while optimizing the utilization of resources.e) Healthcare: OR models aid in optimizing hospital operations, such as bed allocation, staff scheduling, and patient flow management. By improving resource allocation and reducing waiting times, OR leads to better healthcare delivery.3. OR Methodologies:Within Operations Research, several methodologies are employed to tackle complex problems:a) Mathematical Programming: This technique optimizes decision-making by formulating problems as mathematical models. Linear Programming, Integer Programming, and Nonlinear Programming are some mathematical programming approaches used to solve resource allocation, production planning, and investment optimization problems.b) Simulation: Simulation models mimic real-world systems to analyze their behavior and evaluate potential scenarios. It helps in testing different strategies without disrupting actual operations, enabling decision-makers to make informed choices.c) Queuing Theory: Queuing models assist in analyzing waiting lines or queues and optimizing service times. This methodology finds extensive use in call centers, hospitals, and transportation networks.d) Network Analysis: Network models help in understanding interdependencies in complex systems, such as transportation networks and supply chains. They enable decision-makers to identify critical paths, minimize disruptions, and optimize resource utilization.4. Benefits of Operations Research:Operations Research offers several advantages:a) Improved Decision-Making: By providing quantitative data and insights, OR supports evidence-based decision-making. It reduces the element of uncertainty and enables businesses to select thebest course of action among various alternatives.b) Enhanced Efficiency and Productivity: OR techniques optimize processes, resources, and systems, leading to increased efficiency and productivity. It enables organizations to achieve more with fewer resources, ultimately improving their bottom line.c) Cost Reduction: OR aids in identifying cost-saving opportunities by optimizing resource allocation, production planning, and logistics. It helps organizations minimize expenses without compromising on quality or service levels.d) Enhanced Competitive Advantage: By leveraging OR, companies can gain a competitive edge by improving customer service, reducing lead times, and achieving operational excellence.Conclusion:Operations Research plays a vital role in decision-making by supplying quantitative tools and techniques. It assists in optimizing various aspects of business operations, enabling organizations to maximize efficiency, reduce costs, and gain a competitiveadvantage. The applications of OR continue to grow, making it an indispensable field for businesses and organizations in today's dynamic and complex environment.。
中国农业大学研究生课程中英文对照表
课程名称课程英文名称发展社会学专题Development Sociology中国概况 A Brief Introduction of “The General Situation of China”英美经典短篇小说赏析 A Guide to Classic Short Stories in British and AmericanLiterature对策论 A Primer in Game Throry对策论 A Primer in Game Throry植物蛋白研究进展Aadvance of Vegetable Protein Research植物蛋白研究进展Aadvance of Vegetable Protein Research作物遗传育种专业英语Academic English作物遗传育种专业英语（必修）Academic English会计学Accounting高等农业机械化管理与模拟Adanvced Agricultural Mechanization Management and System Simulation高等农业机械化管理与系统模拟Adanvced Agricultural Mechanization Management and System Simulation调整型抽样Adjusting Sampling行政法Administrative Law高等动力学Advaced Dynamics动物传染病学专题Advance in Animal Infectious Diseases动物传染病学Advance in Animal Infectious Diseases动物传染病专题Advance in Animal Infectious Diseases动物病理学进展Advance in Animal Pathology动物病理学进展Advance in Animal Pathology植物病害生物防治进展Advance in Biological Control of Plant Diseases植物病害生物防治Advance in Biological Control of Plant Diseases植物逆境信号传递研究Advance in Plant Stress Signaling植物逆境信号传递研究Advance in Plant Stress Signaling先进制造技术Advance Manufacture Technology蛋白质互作的研究方法进展Advance of Methods for Analysis of Protein-protein Interaction 国际农药残留分析进展Advance of Pesticide Residue Analysis in Foreign Countries国际农药残留分析进展Advance of Pesticide Residue Analysis in Foreign Countries果蔬采后生理研究进展Advance of Postharvest Physiology of Fruit and Vegetable果蔬采后生理研究进展Advance of Postharvest Physiology of Fruit and Vegetable资源环境科学进展Advance of Recources and Enviromental Science高级建筑设计Advanced Garden Building Design高级园林建筑设计Advanced Garden Building Design高级生物气象学Advanced Biometeorology高级生物气象学Advanced Biometeorology高级会计理论与实务Advanced Accounting Theory and Practice高等农业机械学Advanced Agricultural Machinery高等农业机械学Advanced Agricultural Machinery高等农业机械学Advanced Agricultural Machinery高等农业机械学Advanced Agricultural Machinery高等农业机械化管理Advanced Agricultural Mechanization Management高等农业机械化管理Advanced Agricultural Mechanization Management农业机械化工程新技术讲座Advanced Agricultural Mechanization New TechnologyLectures农业机械化工程新技术讲座Advanced Agricultural Mechanization New TechnologyLectures人工智能Advanced Artificial Intelligence高级人工智能Advanced Artificial Intelligence高级审计理论与实务Advanced Auditing Theory and Practice高级生物化学Advanced Biochemistry高级生物化学Advanced Biochemistry高级生物信息SEMI.Advanced Bioinformatics Seminar高级生物信息学Seminar Advanced Bioinformatics Seminar高级害虫生物防治Advanced Biological Control of Insect Pests高级害虫生物防治Advanced Biological Control of Insect Pests高级蔬菜育种学Advanced Breeding of Vegetable Crops高级蔬菜育种学Advanced Breeding of Vegetable Crops高级财务管理Advanced Corporate Finance高级财务管理Advanced Corporate Finance高级园林植物遗传育种学Advanced Course of Ornamental Plant Breeding高级园林植物遗传育种学Advanced Course of Ornamental Plant Breeding高级作物育种学I Advanced Crop Breeding I高级作物育种学ⅠAdvanced Crop Breeding I高级作物育种学II Advanced Crop Breeding II高级作物育种学ⅡAdvanced Crop Breeding II作物生态学Advanced Crop Ecology高级作物生态学Advanced Crop Ecology高级作物生理学Advanced Crop Physiology高级细胞遗传学Advanced Cytogenetics高级发展学Advanced Development Studies高级发展学Advanced Development Studies高等结构动力学Advanced Dynamics of Structures高级计量经济学Advanced Econometrics高级计量经济学Advanced Econometrics高级园林植物生理生态学Advanced Eco-physiology of Ornamental Plants高级园林植物生理生态Advanced Eco-physiology of Ornamental Plants高等工程热力学Advanced Engineering Thermodynamics高等工程热力学Advanced Engineering Thermodynamics高级试验设计与数据分析Advanced Experimental Design and Data Analysis 高级试验设计与数据分析Advanced Experimental Design and Data Analysis 兽医免疫高级实验Advanced Experiments of Veterinary Immunology 兽医免疫高级实验Advanced Experiments of Veterinary Immunology 高级饲料分析技术Advanced Feed Analysis Technology高级饲料分析技术Advanced Feed Analysis Technology高级财务管理理论与实务Advanced Financial Management食品微生物学专题Advanced Food Microbiology动物遗传工程Advanced Gene Engineering高级基因工程Advanced Gene Engineering高级葡萄生理与分子生物专题Advanced Grape Physiology and Molecular Biology 高级葡萄生理与分子生物学专题Advanced Grape Physiology and Molecular Biology 高级昆虫生理生化Advanced Insect Physiology and Biochemistry高级昆虫生理生化Advanced Insect Physiology and Biochemistry高级昆虫毒理学Advanced Insect Toxicology高级昆虫毒理学Advanced Insect Toxicology高等内燃机学Advanced Internal-combustion Engine高等内燃机学Advanced Internal-combustion Engine高级实验动物学Advanced Laboratory Animal Science高级实验动物学Advanced Laboratory Animal Science高级园林设计Advanced Landscape Design高级园林设计Advanced Landscape Design高级园林工程Advanced Landscape Engineering高级环境绿地规划Advanced Landscape Planning高级宏观经济学Advanced Macroeconomics高级宏观经济学Advanced Macroeconomics高级管理会计理论与实务Advanced Management Accounting管理科学与工程专业Seminar Advanced Management Science and Engineering (Ph.D)管理科学与工程专业Seminar Advanced Management Science and Engineering (Ph.D)高级市场营销学Advanced Marketing高级市场营销Advanced Marketing高等金属学Advanced Metal高等金属学Advanced Metal高级微生物遗传学Advanced Microbial Genetics高级微生物遗传学Advanced Microbial Genetics高级微生物学进展Advanced Microbiological Seminar高级微生物学进展(全年）Advanced Microbiological Seminar高级微观经济学Advanced Microeconomics高级微观经济学Advanced Microeconomics高级运筹学Advanced Operations Research高级运筹学Advanced Operations Research高级果树生理学Advanced Physiology of Fruit Trees高级果树生理学Advanced Physiology of Fruit Trees高级植物与细胞生物学Seminar Advanced Plant and Cell Biology Seminars高级植物与细胞生物学Seminar Advanced Plant and Cell Biology Seminars高级植物营养学Advanced Plant Nutrition高级植物营养学Advanced Plant Nutrition高级植物生理生态Advanced Plant Physiological Ecology高级植物生理生态Advanced Plant Physiological Ecology高级植物生理学专题Advanced Plant Physiology高级植物生理学Advanced Plant Physiology高级植物生理学Advanced Plant Physiology高级植物生理学专题Advanced Plant Physiology高级观赏植物采后生理Advanced Postharvest Physiology of Ornamental Plants 高级观赏植物采后生理Advanced Postharvest Physiology of Ornamental Plants 高级植物营养进展Advanced Progress in Plant Nutrition高级设施园艺学Advanced Protected Horticulture高级设施园艺学Advanced Protected Horticulture高级可再生资源工程专题Advanced Renewable Resource Engineering现代可再生资源工程学Advanced Renewable Resource Engineering国际食品研究进展Advanced Research of Food Science植物细胞信号转导研究中的反向遗传学与细胞生物学研究技术与方法Advanced Reverse Genetic and Cell Biological Approaches to Study Signal Transduction in Plant高级生物化学与分子生物学Seminar Advanced Seminar for Biochemistry and Molecular Biology高级生物化学与分子生物学SeminarAdvanced Seminar for Biochemistry and Molecular Biology高级遗传学Seminar Advanced Seminar for Genetics高级遗传学Seminar Advanced Seminar for Genetics高级生物质工程Seminar Advanced Seminar on Biomass Engineering高级社会统计Advanced Social Statistics高级社会统计Advanced Social Statistics高级生化专题Ⅲ（生物膜）Advanced Topics in Biochemistry：Biomembrane 高级生化专题Ⅲ（生物膜）Advanced Topics in Biochemistry：Biomembrane高级生化专题IV(酶学及代谢调控)Advanced Topics in Biochemistry：Enzymology and Metabolism Control高级生化专题Ⅳ（酶学与代谢调控）Advanced Topics in Biochemistry：Enzymology and Metabolism Control高级生化专题II(核酸化学)Advanced Topics in Biochemistry：Nucleic Acid高级生化专题Ⅱ（核酸化学）Advanced Topics in Biochemistry：Nucleic Acid高级生化专题Ⅰ（蛋白质化学）Advanced Topics in Biochemistry：Protein高级生化专题Ⅰ（蛋白质化学）Advanced Topics in Biochemistry：Protein农产品物料干燥技术特论Advanced Topics in Drying Technology：Drying of PorousMedia高级分子生物学专题Advanced Topics in Molecular Biology高级分子生物学专题Advanced Topics in Molecular Biology高级城市规划Advanced Urban Planning高级蔬菜生理学Advanced Vegetable Physiology高级蔬菜生理学Advanced Vegetable Physiology高级杂草学Advanced Weeds高级杂草学Advanced Weeds高级兽医寄生虫学Advanceds Veterinary Parasitology高级兽医寄生虫学Advanceds Veterinary Parasitology高级兽医微生物学Advances in Veterinary Microbiology高级兽医微生物学Advances in Veterinary Microbiology作物栽培新技术专题Advances in 4H Crop Cultivation作物分子生理与生物技术Advances in Agricultural Biotechnology农业水土工程研究进展Advances in Agricultural Water-soil Research农业水土工程研究进展Advances in Agricultural Water-soil Research动物育种专题Advances in Animal Breeding动物育种专题Advances in Animal Breeding动物病理生理学专题Advances in Animal Pathophysiology动物病理生理学专题Advances in Animal Pathophysiology动物科学研究进展Advances in Animal Science动物科学研究进展Advances in Animal Science害虫生物防治理论与实践新进展Advances in Biological Control of Insect Pests害虫生物防治理论与实践新进展Advances in Biological Control of Insect Pests细胞生物学进展Advances in Cell Biology细胞生物学进展Advances in Cell Biology农副产品化学进展Advances in Chemistry of Agricultural Byproducts农副产品化学进展Advances in Chemistry of Agricultural Byproducts作物营养与水分生理专题Advances in Crop Nutrition and Water Physiology作物光合、产量与品质生理专题Advances in Crop Photosynthesis,Yield and Quality能源作物与生物质工程专题Advances in Crop Physiology and Ecology作物科学研究进展Advances in Crop Science作物科学研究进展Advances in Crop Science作物逆境生理专题Advances in Crop Stress Physiology发育生物学进展Advances in Developmental Biology数字农业研究进展Advances in Digital Agriculture Research 农作制度理论与技术专题Advances in Farming System Science果树学进展讨论Advances in Fruit Sciences果树学进展讨论Advances in Fruit Sciences现代果树遗传学研究进展Advances in Genetics of Fruit Crops分子遗传学进展Advances in Molecular Genetics病毒学进展Advances in Molecular Virology营养科学研究进展Advances in Nutritional Sciences营养科学技术研究进展Advances in Nutritional Sciences杀菌剂药理学及抗药性研究进展Advances in Pharmacology and Fungicide Resistance in Phytopathogen药理学与毒理学专题Advances in Pharmacology and Toxicology药理学与毒理学专题Advances in Pharmacology and Toxicology植物同化物运输高级讲座Advances in Photoassimilate Transport Mechanisms 植物同化物运输高级讲座Advances in Photoassimilate Transport Mechanisms 植物生物学进展Advances in Plant Biology植物激素与化学控制专题Advances in Plant Hormones and Chemical Regulation 植物病毒学进展Advances in Plant Virus Research植物病毒学进展Advances in Plant Virus Research家禽营养与饲养技术（案例）Advances in Poultry Nutrition and feeding Technology 种子病理学进展Advances in Seed Pathology种子病理学进展Advances in Seed Pathology兽医免疫学进展Advances in Veterinary Immunology兽医免疫学进展Advances in Veterinary Immunology兽医科学进展Advances in Veterinary Medicine兽医科学进展Advances in Veterinary Medicine水资源研究进展专题Advances in Water Resource Science水资源研究进展专题Advances in Water Resource Science分子植物病理学研究进展Advances of Molecular Plant Pathology分子植物病理学研究进展Advances of Molecular Plant Pathology生物环境与能源工程综合专题Seminar Advances on Agricultural and Bioenvironmental Engineering农业生物环境与能源工程研究进展Advances on Agricultural and Bioenvironmental Engineering 食品保藏技术研究进展Advances on Food Preservation Technology食品保藏技术研究进展Advances on Food Preservation Technology水土保持与荒漠化防治新技术研究进展Advances on Soil and Water Conservation and Deforestation Control水土保持与荒漠化防治研究进展Advances on Soil and Water Conservation and DeforestationControl结构工程研究新进展Advances on Structure Engineering城镇与区域规划Advances on Urban and Regional Planning城镇与区域规划研究进展Advances on Urban and Regional Planning近代水文学及水资源研究进展Advances on Water Concervancy Project水利工程研究进展Advances on Water Concervancy Project农业商务管理Agri-business Management农业产业组织Agribusiness Organization核技术农业应用基础Agricultural Application Foundation of Nuclear Technology 核技术农业应用基础Agricultural Application Foundation of Nuclear Technology 核技术农业应用基础Agricultural Application Foundation of Nuclear Technology农业可控管理技术Agricultural Controllable Management Technology农业可控管理技术Agricultural Controllable Management Technology农业发展经济学Agricultural Development Economics农业经济理论与政策Agricultural Economics: Theory and Policy农业经济理论与政策Agricultural Economics: Theory and Policy农业装备开发与设计Agricultural Equipment Development and Design农产品期货市场Agricultural Futures Markets农产品期货市场Agricultural Futures Markets农业历史文献选读Agricultural History Literature农业历史文献选读（必修）Agricultural History Literature农业信息系统工程Agricultural Information and System Engineering农业信息系统工程Agricultural Information and System Engineering农业保险Agricultural Insurance农产品市场分析Agricultural Market Analysis农产品市场分析Agricultural Market and Analysis农产品市场分析Agricultural Market and Analysis有害生物治理的原理与方法Agricultural Pests Prevention and Control农业有害生物的预防与控制Agricultural Pests Prevention and Control农业资源与利用Agricultural Resources and Utilization核技术农业应用专论Agricultural Specialized Application of Nuclear Technology 核技术农业应用专论Agricultural Specialized Application of Nuclear Technology 农业系统工程Agricultural Systems Engineering农村技术创新与知识系统Agricultural Technology Innovation and Knowledge System 农村技术创新与知识系统Agricultural Technology Innovation and Knowledge System 农业与食品企业管理Agriculture and Food Corporate Managemnt农业信息学Agriculture Informatics农业科技与“三农政策”Agriculture Technology and Rural Development农业装备机电一体化技术Agricutural Equipment Mechantronics农业项目的计划与管理Agricutural Project Plan and Management农业工程项目规划Agricutural Project Plan and Management农产品国际贸易实务Agri-goods International Trade Practice农业生态系统分析Analysis and Simulation of Ecosystem生态系统分析与模拟Analysis and Simulation of Ecosystem农业关联产业分析Analysis of Agribusiness国情分析和发展战略Analysis of Country Situation and Development Stratagem 兽医临床病例分析Analysis of Veterinary Clinical Cases兽医临床病例分析Analysis of Veterinary Clinical Cases现代食品分析技术Analytic Technology of Modern Food Science现代食品分析技术Analytic Technology of Modern Food Science古汉语Ancient Chinese古汉语Ancient Chinese动物病理剖检诊断技术Animal Autopsy Technique for Pathological Diagnosis克隆动物与转基因动物Animal Cloning and Transgensis克隆动物与转基因动物Animal Cloning and Transgensis动物源食品卫生检验技术Animal Derived Food Inspection Technique动物实验方法Animal Experiment Technology动物消化道微生物Animal Gastrointestinal Tract Microbiology动物消化道微生物Animal Gastrointestinal Tract Microbiology动物遗传资源Animal Genetic Resource 动物卫生行政法学Animal Health Management 动物卫生行政法学Animal Health Management 畜牧工程Animal Husbandry Engineering 动物营养代谢病Animal Metabolic Diseases 动物营养代谢病专题Animal Metabolic Diseases 人类疾病模型的构建与应用Animal Models for Human Diseases 动物分子病毒学Animal Molecular Virology 动物分子病毒学Animal Molecular Virology 动物神经生物学Animal Neurobiology 动物神经生物学Animal Neurobiology 动物营养与免疫专题Animal Nutrion and Immunology 动物营养与免疫专题Animal Nutrion and Immunology 动物保护与福利Animal Protection and Welfare 动物生殖内分泌学Animal Reproduction and Endocrinology 动物生殖内分泌学Animal Reproduction and Endocrinology 动物繁殖学SeminarAnimal Reproduction Seminar 动物繁殖学SeminarAnimal Reproduction Seminar动物繁殖理论与现代生物技术（案例）Animal Reproduction Theory and Modern Biotechnology 动物生殖生理学实验Animal Reproductive Physiology 动物生殖生理学Animal Reproductive Physiology动物生殖生理学实验Animal Reproductive Physiology Experiment 动物生殖生理学实验Animal Reproductive Physiology Experiment 动物功能基因组学Animl Functional Genomics 动物功能基因组学Animl Functional Genomics 人类学与中国社会研究Anthropology and Chinese Society 人类学与中国社会研究Anthropology and Chinese Society 植物抗菌化合物专题Antimicrobial Compounds from Plants 植物抗菌化合物专题Antimicrobial Compounds from Plants 3S 技术农业应用Application of 3S in Agriculture 3S 技术在水利工程中的应用Application of 3S Techniques on Soil and Water Conservation生物多样性与应用Application of Biodiversity 生物多样性与利用Application of Biodiversity 生物多样性与利用Application of Biodiversity 3S 技术应用Application of GIS, GPS and RS 3S 技术应用Application of GIS, GPS and RS应用数理统计Application of Mathematical Statistics 应用数理统计Application of Mathematical Statistics 分子生物学在昆虫学中的应用Application of Molecular Biology to Entomology 分子生物学在昆虫学中的应用Application of Molecular Biology to Entomology 植物生理生态仪器Application of Plant Physiology and Ecology 植物生理生态仪器Application of Plant Physiology and Ecology 3S 在水文模拟中的应用Applications of "3S" to Hydrology Simulation电力系统最优化技术Applications of Optimization Method in Electrical Power System 电力系统最优化技术Applications of Optimization Method in Electrical Power System 稳定同位素在生态环境研究中的应用Applications of Stable Isotopes in Studies of Environment and Ecology 稳定同位素在生态环境研究中的应用Applications of Stable Isotopes in Studies of Environment and Ecology 应用数理统计Applied Mathematical Statistics应用经济学Seminar Applied Economics Seminar应用地质地貌与土地资源Applied Geology Geomorphology and Land Resource应用地质地貌与土地资源Applied Geology Geomorphology and Land Resource应用植物生物技术Applied Plant Biotechnology农业应用随机过程Applied Stochastic in Agriculture应用随机过程Apply Stochastic Processes园林设计研究进展Approach of Landscape Architecture风景园林研究进展Approach of Landscape Architecture观赏植物生理生态研究进展Approach of Ornamental Horticulture观赏园艺研究进展Approach of Ornamental Horticulture英语教学法Approaches and Methods in Language Teaching英语教学法Approaches and Methods in Language Teaching水生昆虫学Aquatic Entomology水生昆虫学Aquatic Entomology艺术设计Art Design人工智能原理Artificial Intelligence人工智能技术Artificial Intelligence结构抗震减震分析原理Aseismic Analysis Principle of Structure兽药安全评价技术Assessment Technique of Veterinary Drug Safety不对称合成Asymmetric Synthesis不对称合成Asymmetric SynthesisAutoCAD 二次开发技术Auto CAD Customization自动控制技术Automatic Control Technology自动控制理论Automatical Control Theory自动控制理论Automatical Control Theory自动机械设计Automatical Machine Design禽类生理学Avian Physiology禽类生理学Avian Physiology遗传分析原理Basic Concepts of Genetic Analysisi基础分子生物学实验Basic Experiment of Molecar Biology基础分子生物学实验Basic Experiment of Molecar Biology新能源发电技术基础Basic of Renewable Energy Generation Technology交通规划理论与方法Basic Theory and Method of Traffic-layou放射卫生防护知识Basical Knowledge of Radiation Protection放射卫生防护知识Basical Knowledge of Radiation Protection放射卫生防护知识Basical Knowledge of Radiation Protection土壤物理与作物学基础Basics of Soil Physics and Crop土壤物理与作物学基础Basics of Soil Physics and Crop篮球Basketball生化分析Biochemical Analysis生化分析Biochemical Analysis生物气候模型与信息系统Bioclimatological Model and Information System生物气候模型与信息系统Bioclimatological Model and Information System畜牧生物工程专业硕士生Seminar Bio-engineering Seminar in Animal配子与胚胎生物工程Bio-engineering Technology in Animal Gamete and Embryo 配子与胚胎生物工程Bio-engineering Technology in Animal Gamete and Embryo 植物小RNA的生物合成和功能Biogenesis and Function of Small RNAs in Plant生物地球化学Biogeochemistry生物地球化学Bio-geochemistry生物信息学Bioinformatics生物信息学Bioinformatics生物信息学Bioinformatics生物信息学算法Bioinformatics Algorithm生物信息学算法Bioinformatics Algorithm生物信息检测与处理专题Bioinformatics Detection and Processing Topic生物信息学SEMI.Bioinformatics Seminar生物信息学Seminar Bioinformatics Seminar植物病害生物防治Biological Control of Plant Diseases植物病害生物防治Biological Control of Plant Diseases生物饲料加工与利用Biological Feed Processing and Application植物病原细菌生物学Biology of Plant Pathogenic Bacteria植物病原细菌生物学Biology of Plant Pathogenic Bacteria生物质工程Bio-mass Engineering Theory生物质工程原理Bio-mass Engineering Theory生物膜与信号转导Biomembrane and Signal Transduction生物膜与信号传导Biomembrane and Signal Transduction生物物理学BiophysicsBioprocessing and Food Quality Bioprocessing and Food QualityBioprocessing Engineering Bioprocessing Engineering生物生产自动化与机器人Bio-production and Robot生物生产自动化与机器人Bio-production and Robot生化反应动力学与反应器Bioreaction Engineering生化反应动力学与反应器Bioreaction Engineering生物修复Bioremediation生物修复Bioremediation农业生物安全Biosafty for Agriculture生物系统动力学（Biosystem）Biosystem Dynamics生物系统动力学Biosystem Dynamics观赏植物生物技术Biotechnology of Ornamental Plants蔬菜生物技术Biotechnology to Vegetable Science植物源杀虫剂及作用机理Botanic Pesticide植物源杀虫剂及其作用机理Botanic Pesticide边界元法Boundary Element Method材料成型中的计算机应用Brief Introduction of Computer Application in Plastic Working 经济学流派Brief Introduction of Economics Schools经济学流派Brief Introduction of Economics Schools商务英语Business EnglishC语言程序设计 C LanguageC语言程序设计 C Language基于PRO-E的CAD/CAM集成制造技术CAD/CAM Based on Creo资本运营Capital Operation汽车网络通讯技术Car Network Communication Technology汽车网络通讯技术Car Network Communication Technology碳水化合物化学Carbohydrate Chemistry碳水化合物化学Carbohydrate Chemistry农业水土工程设计案例Case Analysis for Agricultural Soil and Water Engineering国内外食品安全案例辨析Case Studies on Food Safety Incidents企业管理案例分析Case Study for Corporation Management企业管理案例分析Case Study for Corporation Management电子商务案例Case Study for E-Commerce细胞生物学Cell Biology细胞生物学Cell Biology细胞生物学Cell Biology细胞生物学Cell Biology细胞培养基础和实验Cell Culture Basics and Experiments细胞培养基础和实验Cell Culture Basics and Experiments动物细胞工程Cellular Engineering Technology in Animal动物细胞工程原理与方法（原细胞Cellular Engineering Technology in Animal工程 ）英语六级CET-6化学生态学Chemical Ecology临床化验及病理诊断技术Chemical Examination and Pathological Diagnostic Technique 化学计量学Chemistry Metrology化学计量学Chemistry Metrology中国概况China Panorama粮食经济Grain Economy粮食经济Grain Economy中国化的马克思主义研究Chinalized Marxism Studies中国化的马克思主义研究Chinalized Marxism Studies土木工程抗灾原理Civil Engineering Disaster Prevention Theory土木工程材料专论Civil Engineering Material Monogragh土木工程材料专论Civil Engineering Material Monogragh传统文化与现代企业管理系列专题Classical Cutlure and Modern Enterprise Management期货品种专题Classification of Futures Commodities气候与农业减灾研究专题Climate Resource and Agriculture Disaster Reduction Seminar 气候与农业减灾研究专题Climate Resource and Agriculture Disaster Reduction Seminar 临床病理诊断技术Clinical Pathological Diagnostic Technique临床兽医学专业Seminar Clinical Veterinary Medicine Seminar公共经济学理论专题Colloquium of Public Economics公共经济学理论专题Colloquium of Public Economics组合优化Combination Optimization组合优化Combination Optimization组合数学Combinatorial Mathematics组合数学Combinatorial Mathematics农业传播技术与应用Communication for Rural Development社区基础的自然资源管理Community-based Natural Resource Management社区基础的自然资源管理Community-based Natural Resource Management社区基础的自然资源管理Community-based Natural Resource Management社区基础的自然资源管理Community-based Natural Resource Management动物生殖生理学Comparative Animal Breeding动物比较育种学Comparative Animal Breeding比较基因组学与分子进化Comparative Genomics and Molecular Evolution比较政府与政治Comparative Government and Politics比较病理学Comparative Pathology比较病理学Comparative Pathology中外教育比较评价Comparative Studies of Sino-foreign Eduction 中外教育比较研究Comparative Studies of Sino-foreign Eduction 竞争情报研究Competitive Intelligence Research 竟争情报研究Competitive Intelligence Research 竞争情报研究Competitive Intelligence Research 综合测评Comprehensive Assessment 农产品加工与贮藏综合实验Comprehensive Experiments of Agricultural Products Processing and Storage 营养与食品卫生综合大实验Comprehensive Experiments of Nutrition and Food Hygiene 营养与食品安全综合大实验Comprehensive Experiments of Nutrition and Food Hygiene 营养与食品安全综合实验Comprehensive Experiments of Nutrition and Food Hygiene 生物质综合利用与转化Comprehensive Utilization and Conversion of Biomass Resources 计算流体力学Computation Fluid Dynamics 计算流体力学Computation Fluid Dynamics 两相流与多相流计算Computation of Two-phase and Multi-phase Flow 统计计算方法Computational Method for Statistic 统计计算方法Computational Method for Statistic 农业生物信息计算机采集与处理Computer Acquisition Agricultural Biological Information and Processing 计算机算法设计Computer Algorithm Design 英语多媒体网络教育Computer Assisted Language Learning 英语多媒体网络教学Computer Assisted Language Learning 计算机图形学Computer Graphics 计算机图形学Computer Graphics 计算机图形学Computer Graphics 计算机网络体系结构Computer Network Architecture 计算机网络体系结构Computer Network Architecture 现代干燥技术Computer Simulation for Farm Product Drying 现代干燥技术Computer Simulation for Farm Product Drying 土壤水土过程模拟Computer Simulation of Soil Physical ProcessesComputer simulation of soil-water processesComputer Simulation of Soil Physical Processes 计算机支持的协同工作与网络计算Computer Supported Cooperative Work and Grid Computing 计算机支持的协同工作与网格计算Computer Supported Cooperative Work and Grid Computing 机械系统计算机虚拟样机技术Computer Virtual Prototyping Technology for Mechanical System 基于PRO_E 的CAD/CAM 集成制造技术Computer Virtual Prototyping Technology for MechanicalSystem 机械系统计算机虚拟样机技术Computer Virtual Prototyping Technology for Mechanical System 计算机视觉Computer Vision 计算机视觉技术Computer Vision 家畜育种中的计算方法Computing Algorithms in Animal Breeding 家畜育种中的计算方法Computing Algorithms in Animal Breeding 混凝土结构原理Concrete Structure Theory 混凝土结构理论Concrete Structure Theory 共轭曲面理论Conjugate Surface Theory 生物质工程导论Conspectus of Biomass Engineering 工程材料本构关系Constitutive Relation of Engineering Materials 工程材料本构关系Constitutive Relation of Engineering Materials 信息资源建设与评价Construction and Evaluation of Information Resources 土木工程质量事故处理与分析Construction Quality Accident Analysis and Treatment中外城市建设史Constructual History on China and Foreign cities农产品需求分析Consumer Demand Analysis for Food and AgriculturalProducts现代区域发展规划与管理Contemporary Regional Development Planning andManagement现代区域发展规划与管理Contemporary Regional Development Planning andManagement可持续机械化生产系统Continuable Mechanization Production System可持续机械化生产系统Continuable Mechanization Production System连续介质力学Continuity Mechanics连续介质力学Continuity Mechanics连续型抽样Continuous Sampling畜禽寄生虫病防治Control of Parasite infection in Poultry and Animals 公司金融理论Corporate Finance Theory公司法与现代企业制度Corporation Law and Modern Enterprise System公司法与现代企业制度Corporation Law and Modern Enterprise System机电产品创新设计Creative Design of Mechantronic Product机电产品创新设计Creative Design of Mechantronic Product英美文学专题Critical Approaches to Literature发展研究前沿Critical Development Studies区域经济学前沿Critical Regional Economics作物生理与分析研究技术Crop Analysis Technology作物育种理论与案例分析Crop Breeding and Cases Analysis作物抗逆机理与育种Crop Breeding for Tolerance作物抗逆机理与育种Crop Breeding for Tolerance作物生理学SEMI.Crop Physiology Seminar作物生理学Seminar Crop Physiology Seminar作物生产系统分析与模拟Crop System Analysis and Simulation作物生产系统分析与模拟Crop System Analysis and Simulation当代国际贸易体制Current International Trading System当代国际贸易体制Current International Trading System现代生物学技术Current Techniques in Biological Sciences数据拟合Data Fitting数据拟合Data Fitting数据挖掘Data Mining数据挖掘Data Mining数据挖掘Data Mining数据挖掘Data Mining数据结构Data Structure数据结构Data Structure数据结构Data Structure数据、模型与决策Data, Model and Decision-making数据库与空间数据管理Database and Spatial Data Management数据库与空间数据管理Database and Spatial Data Management数据库原理与技术Database Principle and Technology数据库原理与技术Database Principle and Technology决策分析Decision Making and Analysis决策分析Decision Making and Analysis生态工程设计与应用Design and Application of Ecological Engineering绿地工程设计与建设Design and Construction of Landscape Project绿地工程设计与建设Design and Construction of Landscape Project试验设计与多元分析Design of Experiment and Mult Variate Statistical Anlylisis 试验设计与多元分析Design of Experiment and Mult Variate Statistical Anlylisis 有机合成设计Design of Organic Synthesis设计模式Design Patterns农业建筑结构设计原理Design Principle on Agricultural Structure车辆工程专业进展Development of Vehicle Engineering车辆工程专业进展Development of Vehicle Engineering信息资源开发利用技术Development and Utilization of Information ResourcesTechnology信息资源开发利用技术Development and Utilization of Information ResourcesTechnology发展经济学专题Development Economics发展经济学Development Economics发展研究方法Development Methods发展研究方法Development Methods发展研究方法Development Methods发展研究方法Development Methods中国发展模式Development Models of China食品科学技术研究进展Development of Food Science Technology Research食品科学技术研究进展Development of Food Science Technology Research葡萄酒化学进展Development of Wine Chemistry葡萄酒化学进展Development of Wine Chemistry农业工程专业Seminar Development of Agricultural Engineering农业工程专业Seminar Development of Agricultural Engineering农业装备工程专业进展Development of Agricultural Equipment Engineering农业装备工程专业进展Development of Agricultural Equipment Engineering农业机械化工程专业进展Development of Agricultural Mechanization Engineering农业机械化工程专业进展Development of Agricultural Mechanization Engineering农产品加工工程进展Development of Farm Product Processing Engineering农产品加工工程专业进展Development of Farm Product Processing Engineering食品质量管理进展Development of Food Quality Management食品质量管理进展Development of Food Quality Management食品安全研究进展Development of Food Security Research食品安全研究进展Development of Food Security Research物流工程技术进展Development of Logistics Engineering机械设计及理论专业进展Development of Mechanical Design and Theory机械设计及理论专业进展Development of Mechanical Design and Theory机械工程技术进展Development of Mechanical Engineering机械制造及其自动化专业进展Development of Mechanical Manufacturing and Automation 现代制造前沿技术与进展Development of Modern Manufacturing Technology现代制造前沿技术与进展Development of Modern Manufacturing Technology发展规划Development Planning发展项目管理Development Project Management发展社会学Development Sociology发展社会学Development Sociology发展社会学Development Sociology发展理论与实践Development Theories and Practices自然辩证法Dialectics of Nature微分几何Differential Coefficient Geometry微分几何Differential Coefficient Geometry。
运筹与管理相关SCI期刊
运筹与管理与本领域相关SCI期刊4ORACM Journal of Experimental AlgorithmsAlgorithmicaAnnals of Operations ResearchAsia-Pacific Journal of Operational ResearchCentral European Journal of Operations Research Computational Geometry: Theory and Applications Computational Optimization and ApplicationsComputers & Industrial EngineeringComputers & Operations ResearchDiscrete Applied MathematicsDiscrete OptimizationDiscrete Mathematics & Theoretical Computer Science European Journal of Operational ResearchIIE TransactionsINFORMS Journal on ComputingInternational Journal of Computational Geometry and Applications International Transactions in Operational ResearchJournal of Discrete AlgorithmsJournal of HeuristicsJournal of the Operational Research SocietyJournal of Mathematical Modelling and AlgorithmsJournal of SchedulingLinear Algebra and its ApplicationsManagement ScienceMathematical and Computer ModellingMathematical Methods of Operations ResearchMathematical ProgrammingMathematics of Operations ResearchNaval Research LogisticsNetworksOmegaOperations ResearchOperations Research LettersOptimizationOptimization Methods and SoftwareSIAM Journal on OptimizationTransportation ScienceEI收录Journal of Algorithms and Computational TechnologyJournal of Applied Mathematics and Computing（EI 符合范围）Journal of Computational and Applied Mathematics（SCI难度不大）Journal of Systems Science and Systems Engineering（中国EI）Journal of the Operations Research Society of China（不被收录，中国刚办）Journal of Mathematical Modelling and Algorithms（不被收录，运筹优化的）The International Journal of Advanced Manufacturing Technology (SCI期刊，容易中，3个月审稿)International Journal of Innovative Computing Information and Control (SCI) International Journal of Systems Science (SCI)International Journal of Mathematics in Operational research (EI)International Journal of Mathematical Modelling and Numerical OptimisationPacific Journal of Optimization (华人多)Optimization Methods and Software (SCI期刊，据说容易中，2个月审稿，方向对口（小木虫说慢）)优化相关资料与网址收集Optimization and Operations Research:Operations Research: the science of better :OR directory (a bit out of date):LP FAQs:some free software by Prof. John O. McClain: IFORS tutorial modules benchmark for optimization software:The French OR Society The European OR Society The international federation of OR societies The Canadian OR Society OR Society of the US THE OR web page of Michael Trick e-optimization OR library of optimization instances OR-library Research Journals RSS ListOperations Research:Annals of Operations ResearchComputational Management ScienceComputers & Operations ResearchEuropean Journal of Operational Research INFORMS Journal on ComputingInterfacesInternational Transactions in Operational Research Journal of Optimization Theory and Applications Journal of the Operational Research Society Management ScienceMathematical ProgrammingMathematical Programming Computation Mathematics of Operations ResearchNetworksOmegaOperations ResearchOR SpectrumIndustrial Engineeing and Operations Management: Computers & Industrial EngineeringInternational Journal of Production Economics International Journal of Production Research Manufacturing & Service Operations Management Naval Research LogisticsTransportation:Transportation Research Part B: MethodologicalTransportation Research Part E: Logistics and Transportation Review Transportation ScienceArtificial Intelligence:Advances in Engineering SoftwareApplied Soft ComputingDecision Support SystemsEngineering Applications of Artificial IntelligenceExpert Systems with Applications管理科学与运筹学(MS/OR)国际期刊最新权威排名首先声明：这份MS/OR国际期刊排名是完全根据2011年JCR（Journal Citation Reports）的Article Influence Score（AIS）而给出的。
european journal of operational research 介绍
european journal of operational research 介绍《European Journal of Operational Research》是欧洲运营研究领域的顶级学术期刊，该期刊于1977年创刊，由Elsevier出版社出版。
该期刊是国际上非常重要的运营研究领域的学术杂志之一，发表了许多具有深度和广度的高质量研究成果。
该期刊的主要目标是推动运营研究领域的学术研究和实践应用。
它提供了一个广泛的研究范围，涵盖了运筹学、管理科学、信息系统、决策科学、供应链管理等领域的相关研究。
该期刊的主要目的是为运营研究学者和从业人员提供一个分享、交流和讨论他们的最新研究成果的平台。
《European Journal of Operational Research》的论文主要关注运营研究领域的方法和技术，以解决各种实际问题。
该期刊的论文内容涵盖了多个子领域，包括但不限于：1. 运筹学模型和优化方法：包括线性规划、整数规划、多目标规划、非线性规划、随机规划等。
这些方法和技术可以用于解决各种实际问题，如资源分配、生产过程优化、供应链优化等。
2. 决策支持系统和信息系统：这些方法和技术旨在帮助决策者做出更明智的决策。
它们基于数据和模型，通过模拟、模拟、数据分析等技术，以支持决策者在不确定和复杂的环境中做出决策。
3. 运营研究在供应链管理和物流中的应用：供应链和物流管理是当今商业环境中非常重要的领域。
这些方法和技术旨在优化供应链和物流网络，提高效率、降低成本、提高服务质量等。
4. 决策科学和组织行为学的相互作用：这些方法和技术试图将决策科学与心理学、经济学和组织行为学等其他学科相结合，以更好地理解决策者的行为和决策过程。
在该期刊发表的论文都经过严格的同行评审，保证了其学术质量和可靠性。
该期刊的读者包括从事运营研究的学者、研究人员、决策者和管理者等。
由于该期刊的高学术影响力和广泛的读者群体，发表在该期刊上的论文对学术界和行业界都有着重要的影响力。
最全大学课程英文名称
最全⼤学课程英⽂名称⾼级语⾔程序设计Advanced Language Programme Design⼯程造价管理Project Pricing Management⼯业⾏业技术评估概论Introduction to Industrial Technical Evaluation 公共关系Public Relations公关礼仪Etiquette for Public Relations管理沟通Managerial Communication国际关系与政治International Relationship and Politics国际技术贸易International Technology Trade机械制图Mechanical Drawing计算机科学Computer Science技术创新Technological Innovation技术经济Technological Economics价格学Pricing建筑项⽬预算Constructive Project Budgeting⾦融管理软件Financial Management Software经济⽂献检索Economic Document Searching经济⽂写作Economic Article Writing经贸科研论⽂与写作Research Project on Economics & Trade伦理学Ethics逻辑学Logic社会保障Social Security社会调查Social Survey社会学Sociology世界经济概论Introduction to World Economy世界经贸地理World Geography for Economics and Trade世界市场⾏情World Market Survey世界政治经济与国际关系World Politics, Economy and International Relations 数据结构Database Structure数据库管理Database Management数据库及其应⽤Database and Applications数据模型与决策Digital Models and Decision-making外国经济地理Economic Geography of Foreign Countries外国经济史History of Foreign Economies外贸函电Business Correspondence for Foreign Trade外贸⼝语Oral English for Foreign Trade外贸实务Foreign Trade Practices物流运输计划管理Logistics Planning & management系统⼯程System Engineering现代国际政治与经济Contemporary International Politics and Economics信息分析Information Analysis信息技术与新组织Information Technology and New Organisations形式逻辑Formal Logic英语经贸⽂章选读Selected English Readings of Economic and Trade Literature 营销管理Marketing Management营运管理Operation Management运筹学Operations Research战略管理Strategic Management职业道德伦理Professional Ethics中国对外经贸政策与投资环境Chinese Foreign Trade Policy and Investment Environment中国对外贸易史History of Chinese Foreign Trade中国外贸概论Introduction to Chinese Foreign Trade资刊选读Selected Reading from Foreign Magazines组织⾏为学Organisational Behaviour⼤学课程英⽂名称（做英⽂成绩单有⽤）Advanced Computational Fluid Dynamics ⾼等计算流体⼒学Advanced Mathematics ⾼等数学Advanced Numerical Analysis ⾼等数值分析Algorithmic Language 算法语⾔Analogical Electronics 模拟电⼦电路Artificial Intelligence Programming ⼈⼯智能程序设计Audit 审计学Automatic Control System ⾃动控制系统Automatic Control Theory ⾃动控制理论Auto-Measurement Technique ⾃动检测技术Basis of Software Technique 软件技术基础Calculus 微积分Catalysis Principles 催化原理Chemical Engineering Document Retrieval 化⼯⽂献检索Circuitry 电⼦线路College English ⼤学英语College English Test (Band 4) CET-4College English Test (Band 6) CET-6College Physics ⼤学物理Communication Fundamentals 通信原理Comparative Economics ⽐较经济学Complex Analysis 复变函数论Computational Method 计算⽅法Computer Graphics 图形学原理Computer Interface Technology 计算机接⼝技术Contract Law 合同法Cost Accounting 成本会计Circuit Measurement Technology 电路测试技术Database Principles 数据库原理Design & Analysis System 系统分析与设计Developmental Economics 发展经济学Digital Electronics 数字电⼦电路Digital Image Processing 数字图像处理Digital Signal Processing 数字信号处理Econometrics 经济计量学Economical Efficiency Analysis for Chemical Technology 化⼯技术经济分析Economy of Capitalism 资本主义经济Electromagnetic Fields & Magnetic Waves 电磁场与电磁波Electrical Engineering Practice 电⼯实习Enterprise Accounting 企业会计学Equations of Mathematical Physics 数理⽅程Experiment of College Physics 物理实验Experiment of Microcomputer 微机实验Experiment in Electronic Circuitry 电⼦线路实验Fiber Optical Communication System 光纤通讯系统Finance 财政学Financial Accounting 财务会计Fine Arts 美术Functions of a Complex Variable 单复变函数Functions of Complex Variables 复变函数Functions of Complex Variables & Integral Transformations 复变函数与积分变换Fundamentals of Law 法律基础Fuzzy Mathematics 模糊数学General Physics 普通物理Graduation Project(Thesis) 毕业设计（论⽂）Graph theory 图论Heat Transfer Theory 传热学History of Chinese Revolution 中国⾰命史Industrial Economics ⼯业经济学Information Searches 情报检索Integral Transformation 积分变换Intelligent robot(s); Intelligence robot 智能机器⼈International Business Administration 国际企业管理International Clearance 国际结算International Finance 国际⾦融International Relation 国际关系International Trade 国际贸易Introduction to Chinese Tradition 中国传统⽂化Introduction to Modern Science & Technology 当代科技概论Introduction to Reliability Technology 可靠性技术导论Java Language Programming Java 程序设计Lab of General Physics 普通物理实验Linear Algebra 线性代数Management Accounting 管理会计学Management Information System 管理信息系统Mechanic Design 机械设计Mechanical Graphing 机械制图Merchandise Advertisement 商品⼴告学Metalworking Practice ⾦⼯实习Microcomputer Control Technology 微机控制技术Microeconomics & Macroeconomics 西⽅经济学Microwave Technique 微波技术Military Theory 军事理论Modern Communication System 现代通信系统Modern Enterprise System 现代企业制度Monetary Banking 货币银⾏学Motor Elements and Power Supply 电机电器与供电Moving Communication 移动通讯Music ⾳乐Network Technology ⽹络技术Numeric Calculation 数值计算Oil Application and Addition Agent 油品应⽤及添加剂Operation & Control of National Economy 国民经济运⾏与调控Operational Research 运筹学Optimum Control 最优控制Petroleum Chemistry ⽯油化学Petroleum Engineering Technique ⽯油化⼯⼯艺学Philosophy 哲学Physical Education 体育Political Economics 政治经济学Primary Circuit （反应堆）⼀回路Principle of Communication 通讯原理Principle of Marxism 马克思主义原理Principle of Mechanics 机械原理Principle of Microcomputer 微机原理Principle of Sensing Device 传感器原理Principle of Single Chip Computer 单⽚机原理Principles of Management 管理学原理Probability Theory & Stochastic Process 概率论与随机过程Procedure Control 过程控制Programming with Pascal Language Pascal语⾔编程Programming with C Language C语⾔编程Property Evaluation ⼯业资产评估Public Relation 公共关系学Pulse & Numerical Circuitry 脉冲与数字电路Refinery Heat Transfer Equipment 炼⼚传热设备Satellite Communications 卫星通信Semiconductor Converting Technology 半导体变流技术Set Theory 集合论Signal & Linear System 信号与线性系统Social Research 社会调查SPC Exchange Fundamentals 程控交换原理Specialty English 专业英语Statistics 统计学Stock Investment 证券投资学Strategic Management for Industrial Enterprises ⼯业企业战略管理Technological Economics 技术经济学Television Operation 电视原理Theory of Circuitry 电路理论Turbulent Flow Simulation and Application 湍流模拟及其应⽤Visual C++ Programming Visual C++程序设计Windows NT Operating System Principles Windows NT操作系统原理Word Processing 数据处理姓名NAME性别SEX⼊学时间1ST TERM ENROLLED IN系别DEPARTMENT专业SPECIALITY毕业时间GRADUATION DA TE19XX-19YY学年度第⼀/⼆学期1st/2nd TERM. 19XX-19YY课程名称COURSE TITLE学分CREDIT成绩GRADE⾼等数学Advanced Mathematics⼯程数学Engineering Mathematics中国⾰命史History of Chinese Revolutionary程序设计Programming Design机械制图Mechanical Drawing社会学Sociology体育Physical Education物理实验Physical Experiments电路Circuit物理Physics哲学Philosophy法律基础Basis of Law理论⼒学Theoretical Mechanics材料⼒学Material Mechanics电机学Electrical Machinery政治经济学Political Economy⾃动控制理论Automatic Control Theory模拟电⼦技术基础Basis of Analogue Electronic Technique 数字电⼦技术Digital Electrical Technique 电磁场Electromagnetic Field微机原理Principle of Microcomputer企业管理Business Management专业英语Specialized English可编程序控制技术Controlling Technique for Programming ⾦⼯实习Metal Working Practice毕业实习Graduation Practice。
运筹学基础知识讲解
j=1
j=1
矩阵式：maxZ=CX AX=b X ≥0
约束方程的系数矩阵A的秩为m，且m<n。设 A=B+N ，B是A中mm阶非奇异子矩阵，则称 B是LP的一个基，即：B是A中m个线性无关向
量组。
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基解的概念
不失一般性,设B是A的前m列,即 B=(p1,p2,…,pm）,其相对应的变量 XB=(x1,x2,…,xm)T,称为基变量；其余变量 XN=(Xm+1,…,Xn)T称为非基变量。令所有非 基变量等于零,则X=（x1,x2,…xm,0,…,0)T 称为基解 。
究——历史渊源
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绪论
1.2 运筹学的历史 早期运筹思想：田忌赛马 丁渭修宫 沈括运粮 Erlang 1917 排队论 Harris 1920 存储论 Levinson 1930 零售贸易 康脱洛维奇 1939 LP
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绪论
1.2运筹学的历史 军事运筹学阶段 德军空袭 防空系统 Blackett 运输船编队 空袭逃避 深水炸弹 轰炸机编队
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绪论
1.2运筹学的历史 管理运筹学阶段 战后人员三分:军队、大学、企业 大学：课程、专业、硕士、博士 企业：美国钢铁联合公司 英国国家煤炭局 运筹学在中国：50年代中期引入 华罗庚推广 优选法、统筹法 中国邮递员问题、运输问题
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1.3学科性质
▪应用学科
▪Morse&Kimball定义：运筹学是为决策机构在对其控 制的业务活动进行决策时提供的数量化为基础的科学 方法。
从系数矩阵中找到一个可行基B，不妨设B由A 的前m列组成，即B=(P1,P2,……Pm)。进行等价 变换－－约束方程两端分别左乘B－1 得
常见大学课程名称翻译
常用大学课程中英文对照大学课程中英文对照大汇集英文字母开头的课程ALGOL语言ALGOL LanguageBASIC & FORTRAN 语言BASIC Language & FORTRAN LanguageBASIC 语言BASIC LanguageBASIC 语言及应用BASIC Language & ApplicationC 语言C LanguageC++程序设计C++ Program DesigningCAD 概论Introduction to CADCAD/CAM CAD/CAMCET-4 College English Test (Band 4)CET-6 College English Test (Band 6)COBOL语言COBOL LanguageCOBOL语言程序设计COBOL Language Program DesigningC与UNIX环境 C Language & Unix EnvironmentC语言科学计算方法Scientific Computation Method in CC语言与生物医学信息处理 C Language & Biomedical Information Processing dBASE Ⅲ课程设计Course Exercise in dBASE ⅢFORTRAN 77 语言FORTRAN 77 LanguageFORTRAN语言FORTRAN LanguageFoxBase程序设计FoxBase ProgrammingHopf代数Hopf AlgebraHopf代数与代数群量子群Hopf Algebra , Algebraic Group and Qua ntum GroupIBM-PC/XT Fundamentals of Microcomputer IBM-PC/XTIBM-PC微机原理Fundamentals of Microcomputer IBM-PCIBM汇编及高级语言的接口IBM Assembly & its Interfaces with Advanced Programming Languages Internet与Intranet技术Internet and Intranet TechnologyLSI设计基础Basic of LSI DesigningOS/2操作系统OS/2 Operation SystemPASCAL大型作业PASCAL Wide Range WorkingPASCAL课程设计Course Exercise in PASCALPASCAL语言PASCAL LanguagePC机原理Principle of PCUnix编程环境Unix Programming EnvironmentUnix操作系统分析Analysis of Unix SystemVLSI的EDA技术EDA Techniques for VLSIVLSI技术与检测方法VLSI Techniques & Its ExaminationVLSI设计基础Basis of VLSI DesignWindows系统Windows Operation SystemX光分析X-ray AnalysisX射线金属学X-Ray & MetallographyX射线与电镜X-ray & Electric MicroscopeZ-80汇编语言程序设计Z-80 Pragramming in Assembly LanguagesB开头的课程板壳非线性力学Nonlinear Mechanics of Plate and Shell板壳理论Plate Theory , Theory of Plate and Shell板壳力学Plate Mechanics办公自动化Office Automatization办公自动化系统毕业设计Office Automatization Thesis办公自动化系统设计Office Automatization Design半波实验Semiwave Experiment半导体变流技术Semiconductor Converting Technology半导体材料Semiconductor Materials半导体测量Measurement of Semiconductors半导体瓷敏元件Semiconductor Porcelain-Sensitive Elements半导体光电子学Semiconductor Optic Electronics半导体化学Semiconductor Chemistry半导体激光器Semiconductor Laser Unit半导体集成电路Semiconductor Integrated Circuitry半导体理论Semi-conductive Theory半导体器件Semiconductor Devices半导体器件工艺原理Technological Fundamentals of Semiconductor Device半导体器件课程设计Course Design of Semiconductor Devices半导体物理Semiconductor Physics半导体专业Semi-conduction Specialty半导体专业实验Specialty Experiment of Semiconductor半群理论Semi-group Theory保健食品监督评价Evaluation and Supervision on Health Food s保险学Insurance保险学Insurance报告文学专题Special Subject On Reportage报刊编辑学Newspaper & Magazine Editing报刊选读Selected Readings of Newspaper & Magazine报纸编辑学Newspaper Editing泵与风机Pumps and Fans泵与水机Pumps & Water Turbines毕业论文Graduation Thesis毕业设计Graduation Thesis毕业实习Graduation Practice编译方法Compilation Method编译方法Methods of Compiling编译技术Technique of Compiling编译原理Fundamentals of Compiling, Principles of Compiler编译原理课程设计Course Design of Compiling变电站的微机检测Computer Testing in Transformer Substation变电站的微机检测与控制Computer Testing & Control in Transformer Substation变分法与张量Calculus of V ariations & Tensor变分学Calculus of V ariations变流技术Semiconductor Converting Technology变质量系统热力学与新型回转压V ariable Quality System Thermal Mechanics & NeoRo 表面活性剂化学及应用Chemistry and Application of Surfactant表面活性物质Surface Reactive Materials并行处理Parallel Processing并行处理与并行程序设计Parallel Processing and Parallel Programming并行算法Parallel Algorithmic波谱学Spectroscopy, Wave Spectrum波谱学实验Spectroscopic Experiment薄膜光学Film Optics薄膜物理Thin Film Physics不育症的病因学Etiology of InfertilityC开头的课程材料的力学性能测试Measurement of Material Mechanical Performance材料化学Material Chemistry材料力学Mechanics of Materials财税法规与税务会计Laws and Regulations of Finance and Taxes财务案例分析Case Analysis of Finance Management财务案例分析Case Analysis of Financial Management财务报告分析Analysis of Financial Statement财务成本管理Financial Cost Management财务管理Financial Management, Financial Cost Management财务管理与分析Financial Management and Analysis财务会计Financial Accountancy财政学Public Finance财政与金融Finance & Banking财政与税收Finance & Revenue财政与税收理论Theories on Public Finance and Tax Revenue财政与信贷Finance & Credit操作系统Disk Operating System (DOS)操作系统课程设计Course Design in Disk Operating System操作系统与编译原理Disk Operating System & Fundamentals of Compiling操作系统原理Fundamentals of Disk Operating System, Principles of Operating System 测量技术基础Foundation of Measurement Technology测量原理与仪器设计Measurement Fundamentals & Meter Design测试技术Testing Technology测试与信号变换处理Testing & Signal Transformation Processing策波测量技术Technique of Whip Wave Measurement策略管理Strategic Management产品学Production产业经济学Industrial Economy产业组织Industrial Organization产业组织学Industrial Organization Technology常微分方程Ordinary Differential Equations场论Field Theory超导磁体及应用Superconductive Magnet & Application超导及应用Superconductive & Application超高真空科学与技术Science and Technology of Ultrahigh V acuum 60超精密加工和微细加工Super-Precision & Minuteness Processing超精微细加工Super-Precision & Minuteness Processing超声及应用Supersonics Application成本会计Cost Accounting成像原理与技术Principles & Technique of Imaging成组技术Grouping Technique城市规划原理Fundamentals of City Planning城市社会学Urban Sociology程控数字交换Program Controlling of Digital Exchange程序设计Program Designing程序设计方法学Methodology of Programming, Methods of Programming程序设计及算法语言Program Designing & Algorithmic Language程序设计语言Programming Language齿轮啮合原理Principles of Gear Connection冲击测量及误差Punching Measurement & Error冲压工艺Sheet Metal Forming Technology抽象代数Abstract Algebra初等数学Primary Mathematics传坳概论Introduction to Pass Col传动概论Introduction to Transmission传感技术Sensor Technique传感技术及应用Sensor Technique & Application传感器及应用Sensors & Application传感器与检测技术Sensors & Testing Technology传感器原理Fundamentals of Sensors传感器原理及应用Fundamentals of Sensors & Application传热学Heat Transfer船舶操纵Ship Controlling船舶电力系统Ship Electrical Power System船舶电力系统课程设计Course Exercise in Ship Electrical Power System 船舶电气传动自动化Ship Electrified Transmission Automation船舶电站Ship Power Station船舶动力装置Ship Power Equipment船舶概论Introduction to Ships船舶焊接与材料Welding & Materials on Ship船舶机械控制技术Mechanic Control Technology for Ships船舶机械拖动Ship Mechanic Towage船舶建筑美学Artistic Designing of Ships船舶结构Ship Structure船舶结构力学Structural Mechanics for Ships船舶结构与制图Ship Structure & Graphing船舶静力学Ship Statics船舶强度与结构设计Designing Ship Intensity & Structure船舶设计原理Principles of Ship Designing船舶推进Ship Propelling船舶摇摆Ship Swaying船舶摇摆与操纵Ship Swaying & Manipulating船舶振动Ship V ibration船舶阻力Ship Resistance船体建造工艺Ship-Building Technology船体结构Ship Structure船体结构图Ship Structure Graphing船体结构与制图Ship Structure & Graphing船体振动学Ship V ibration船体制图Ship Graphing船用电器设备Marine Electrical Equipment创造心理学Creativity Psychology词汇学Lexicology磁测量技术Magnetic Measurement Technology磁传感器Magnetic Sensor磁存储设备设计原理Fundamental Design of Magnetic Memory Equipment 磁记录Magnetographic磁记录技术Magnetographic Technology磁记录物理Magnetographic Physics磁路设计与场计算Magnetic Path Designing & Magnetic Field Calculati磁盘控制器Magnetic Disk Controler磁性材料Magnetic Materials磁性测量Magnetic Measurement磁性物理Magnetophysics磁原理及应用Principles of Catalyzation & Application催化原理Principles of CatalysisD开头的课程大电流测量Super-Current Measurement大电源测量Super-Power Measurement大机组协调控制Coordination & Control of Generator Networks大跨度房屋结构Large-Span House structure大型锅炉概况Introduction to Large-V olume Boilers大型火电机组控制Control of Large Thermal Power Generator Networks大型数据库原理与高级开发技术Principles of Large-Scale Data-Bas e and Advanced Development Technology 大学德语College German大学俄语College Russian大学法语College French大学日语College Japanese大学生心理学Psychology Introduction大学物理College Physics大学物理实验Experiment of College Physics大学英语College English大学语文College Chinese大众传播学Mass Media代数几何Algebraic Geometry代数几何Algebraic Geometry代数曲面Algebraic Surfaces代数图论Algebraic Graph Theory代数拓扑Algebraic Topology代数学Algebra代用燃料Substitute Fuel代用运放电路Simulated Transmittal Circuit单片机与接口技术Mono-Chip Computers & Interface Technique单片机原理Fundamentals of Mono-Chip Computers单片机原理及应用Fundamentals of Mono-Chip Computers & Applications弹塑性力学Elastic-Plastic Mechanics弹性波Elastic Waves弹性力学Elastic Mechanics, Theory of Elastic Mechanics弹性元件的理论及设计Theory and Design of Elastic Element蛋白质结构基础Principle of Protein Structure蛋白质生物化学技术Biochemical Technology of Protein当代国际关系Contemporary International Relationship当代国外社会思维评价Evaluation of Contemporary Foreign Social Thought当代文学Contemporary Literature当代文学专题Topics on Contemporary Literature当代西方哲学Contemporary Western Philosophy当代戏剧与电影Contemporary Drama & Films当代资本主义经济Contemporary Capitalist Economy党史History of the Party导波光学Wave Guiding Optics德育Moral Education等离子体工程Plasma Engineering低频电子线路Low Frequency Electric Circuit低温测试技术Cryo Testing Technique低温传热学Cryo Conduction低温固体物理Cryo Solid Physics低温技术原理与装置Fundamentals of Cryo Technology & Equipment低温技术中的微机原理Priciples of Microcomputer in Cryo Technology低温绝热Cryo Heat Insulation低温气体制冷机Cryo Gas Refrigerator低温热管Cryo Heat Tube低温设备Cryo Equipment低温生物冻干技术Biological Cryo Freezing Drying Technology低温生物学原理与应用Principle & Application of Cryobiology低温实验技术Cryo Experimentation Technology低温物理导论Cryo Physic Concepts低温物理概论Cryo Physic Concepts低温仪表及测试Cryo Meters & Measurement低温原理Cryo Fundamentals低温原理与设备Cryo Fundamentals & Equipment低温制冷机Cryo Refrigerator低温中的微机应用Application of Microcomputer in Cryo Technology低温装置Cryo Equipment低噪声电子电路Low-Noise Electric Circuit低噪声电子设计Low-Noise Electronic Designing低噪声放大与弱检Low-Noise Increasing & Decreasing低噪声与弱信号检测Detection of Low Noise & Weak Signals地基基础课程设计Course Design of Groundsill Basis地理Geography第二次世界大战史History of World War II典型计算机分析Classical Computer Analysis电测量技术Electric Measurement Technology电厂计算机控制系统Computer Control System in Power Plants电磁测量实验技术Electromagnetic Measurement Experiment & Technology 电磁场计算机Electromagnetic Field Computers电磁场理论Theory of Electromagnetic Fields电磁场数值计算Numerical Calculation of Electromagnetic Fields电磁场与电磁波Electromagnetic Fields & Magnetic Waves电磁场与微波技术Electromagnetic Fields & Micro-Wave Technology电磁场中的数值方法Numerical Methods in Electromagnetic Fields电磁场中的数值计算Numerical Calculation in Electromagnetic Fields电磁学Electromagnetics电动力学Electrodynamics电镀Plating电分析化学Electro-Analytical Chemistry电工材料Electrical Materials电工测量技术基础Measurement Technology of Electrical Engineering电工测试技术基础Testing Technology of Electrical Engineering电工产品学Electrotechnical Products电工电子技术基础Electrical Technology & Electrical Engineering电工电子学Electronics in Electrical Engineering电工基础Fundamental Theory of Electrical Engineering电工基础理论Fundamental Theory of Electrical Engineering电工基础实验Basic Experiment in Electrical Engineering电工技术Electrotechnics电工技术基础Fundamentals of Electrotechnics电工实习Electrical Engineering Practice电工实验Experiment of Electrical Engineering电工实验技术基础Experiment Technology of Electrical Engineering电工学Electrical Engineering电工与电机控制Electrical Engineering & Motor Control电弧电接触Electrical Arc Contact电弧焊及电渣焊Electric Arc Welding & Electroslag Welding电化学测试技术Electrochemical Measurement Technology电化学工程Electrochemical Engineering电化学工艺学Electrochemical Technology电机Motor电机测试技术Motor Measuring Technology电机电磁场的分析与计算Analysis & Calculation of Electrical Motor &电机电磁场的数值计算Calculation of Electrical Motor & Electromagnetic Fields 电机电磁场理论Theory of Electrical Moto & Electromagnetic Fields电机电器与供电Motor Elements and Power Supply电机矩阵分析法Analysis of Electrical Motor Matrix电机课程设计Course Exercise in Electric Engine电机绕组理论Theory of Motor Winding电机绕组理论及应用Theory & Application of Motor Winding电机设计Design of Electrical Motor电机瞬变过程Electrical Motor Change Processes电机统一理论Theory of Electrical Motor Integration电机学Electrical Motor电机学及控制电机Electrical Machinery Control & Technology电机与拖动Electrical Machinery & Towage电机原理Principle of Electric Engine电机原理与拖动Principles of Electrical Machinery & Towage电机专题Lectures on Electric Engine电接触与电弧Electrical Contact & Electrical Arc电介质物理Dielectric Physics电镜Electronic Speculum电力电子电路Power Electronic Circuit电力电子电器Power Electronic Equipment电力电子器件Power Electronic Devices电力电子学Power Electronics电力工程Electrical Power Engineering电力企业管理Management of Electrical Enterprise电力生产技术Technology of Electrical Power Generation电力生产优化管理Optimal Management of Electrical Power Generation电力拖动Electric Traction电力拖动基础Fundamentals for Electrical Towage电力拖动控制系统Electrical Towage Control Systems电力拖动与电气控制Electrical Towage & Electrical Control电力系统Power Systems电力系统电源最优化规划Optimal Planning of Power Source in a Power System 电力系统短路Power System Shortcuts电力系统分析Power System Analysis电力系统规划Power System Planning电力系统过电压Hyper-V oltage of Power Systems电力系统继电保护原理Power System Relay Protection电力系统经济分析Economical Analysis of Power Systems电力系统经济运行Economical Operation of Power Systems电力系统可靠性Power System Reliability电力系统可靠性分析Power System Reliability Analysis电力系统课程设计Course Design of Power Systems电力系统无功补偿及应用Non-Work Compensation in Power Systems & Applicati 电力系统谐波Harmonious Waves in Power Systems电力系统优化设计Optimal Designing of Power Systems电力系统远动Operation of Electric Systems电力系统远动技术Operation Technique of Electric Systems电力系统运行Operation of Electric Systems电力系统自动化Automation of Electric Systems电力系统自动装置Power System Automation Equipment电力系统最优规划Optimal Planning in Power System电力装置课程设计Course Design of Power Equipment电力装置与系统Power Equipment & System电路测量与实验Circuit Measurement & Experiment电路测试技术Circuit Measurement Technology电路测试技术基础Fundamentals of Circuit Measurement Technology电路测试技术及实验Circuit Measurement Technology & Experiments电路分析基础Basis of Circuit Analysis电路分析基础实验Basic Experiment on Circuit Analysis电路分析实验Experiment on Circuit Analysis电路和电子技术Circuit and Electronic Technique电路基本理论Basis Theory of Circuitry电路及电子线路CAD Circuitry CAD电路理论Theory of Circuit电路理论基础Fundamental Theory of Circuit电路理论实验Experiments in Theory of Circuct电路设计与测试技术Circuit Designing & Measurement Technology电气测量技术Electrical Measurement Technology电气传动Electrified Transmission电气控制技术Electrical Control Technology电器设计Electrical Appliances Designing电器学Electrical Appliances电器与控制Electrical Appliances & Control电生理技术基础Basics of Electricphysiological Technology电视传感器图象显示Television Sensor Graphic Display电视接收技术Television Reception Technology电视节目Television Programs电视节目制作Television Program Designing电视新技术New Television Technology电视新闻Television News电视原理Principles of Television电网调度自动化Automation of Electric Network Management电学实验Electrical Experiment电影艺术Art of Film Making电站微机检测控制Computerized Measurement & Control of Power Statio电子材料与元件测试技术Measuring Technology of Electronic Material and Element电子材料元件Electronic Material and Element电子材料元件测量Electronic Material and Element Measurement电子测量与实验技术Technology of Electronic Measurement & Experiment电子测试Electronic Testing电子测试技术Electronic Testing Technology电子测试技术与实验Electronic Testing Technology & Experiment电子测试实验Electronic Testing Experiment电子测试与实验技术Electronic Testing Technology & Experiment电子机械运动控制技术Technology of Electronic Mechanic Movement Control电子技术Technology of Electronics电子技术腐蚀测试中的应用Application of Electronic Technology in Erosion Measurement 电子技术基础Basic Electronic Technology电子技术基础与实验Basic Electronic Technology & Experiment电子技术课程设计Course Exercise in Electronic Technology电子技术实验Experiment in Electronic Technology电子技术综合性设计实验Experiment in Electronic Technology电子理论实验Experiment in Electronic Theory电子商务Electronic Commerce电子系统的ASIC技术ASIC Design Technologies电子显微分析Electronic Micro-Analysis电子显微镜Electronic Microscope电子线路Electronic Circuit电子线路的计算机辅助设计Computer Associate Design of Electronic Circuit电子线路课程设计Course Design of Electronic Circuit电子线路设计与测试技术Electronic Circuit Design & Measurement Technology电子线路设计与测试实验Electronic Circuit Design & Measurement Experiment电子线路实验Experiment in Electronic Circuit电子学Electronics电子学课程设计Course Design of Electronics电子照相技术Electronic Photographing Technology雕塑艺术欣赏Appreciation of Sculptural Art调节原理Principles of Regulation调节装置Regulation Equipment动力机械CAD Dynamical Machine CAD动力学Dynamics动态规划Dynamic Programming动态无损检测Dynamic Non-Destruction Measurement动态信号Dynamic Signal动态信号分析与仪器Dynamic Signal Analysis & Apparatus动物病害学基础Basis of Animal Disease动物免疫学Animal Immunology动物生理与分子生物学Animal Physiology and Molecular Biochemistry动物学Zoology动物遗传工程Animal Genetic Engineering毒理遗传学Toxicological Genetics断裂力学Fracture Mechanics断裂疲劳力学Fatigue Fracture Mechanics锻压测试技术Forging Testing Technique锻压工艺Forging Technology锻压机械液压传动Hydraulic Transmission in Forging Machinery锻压加热设备Forging Heating Equipment锻压设备专题Lectures on Forging Press Equipments锻压系统动力学Dynamics of Forging System锻造工艺Forging Technology锻造加热设备Forging Heat Equipment对外贸易保险International Trade Insurance对外贸易地理International Marketing Geography对外贸易概论Introduction to International Trade对外贸易运输International Trade Transportation多层网络方法Multi-Layer Network Technology多复变函数Analytic Functions of Several Complex V ariables多媒体计算机技术Multimedia Computer Technology多媒体技术Multimedia Technology多目标优化方法Multipurpose Optimal Method多项距阵Multi-Nominal Matrix多元统计分析Multivariable StatisticsF开头的课程发电厂Power Plant发电厂电气部分Electric Elements of Power Plants发电厂电气部分与动力部分Electric Elements & Dynamics of Power Plants发电厂电气部分与热力设备Electric Elements & Thermodynamics Equipment of Power Plants发电厂计算机控制Computer Control in Power Plant发酵工程Zymolysis Engineering发育生物学原理与实验技术Principle and Experimental Technology of Development发展经济学Evolutive Economics法理学Nomology法律基础Fundamentals of Law法学概论An Introduction to Science of Law法学基础Fundamentals of Science of Law翻译Translation翻译理论与技巧Theory & Skills of Translation反不正当经济法Anti-malfeasance Economic Law泛读Extensive Reading泛函分析Functional Analysis泛函分析Functional Analysis房屋建筑学Architectural Design & Construction房屋建筑学课程设计Course Design of House Architecture仿真与辅助设计Simulation & Computer Aided Design放射生物学Radiation Biology放射学Radiology非电量测量Non-Electricity Measurement非金属材料Non-Metal Materials非线性采样系统Non-Linear Sampling System非线性方程组的数值解法Numerical Methods for No-linear System s of Equations非线性光学Nonlinear Optics非线性规划Non-Linear Programming非线性控制理论Non-Linear Control Theory非线性双曲型守恒律解的存在性The Existence of Solutions for Non -linear Hyperbolic Conservation Laws 非线性物理导论Introduction to Nonlinear Physics非线性振荡Non-Linear Oscillation非线性振动Nonlinear V ibration废水处理工程Technology of Wastewater Treatment废水处理与回用Sewage Disposal and Re-use沸腾燃烧Boiling Combustion分布式计算机系统Distributed Computer System / Distributed System分布式系统与分布式处理Distributed Systems and Distributed Processing分离科学Separation Science分析化学Analytical Chemistry分析化学实验Analytical Chemistry Experiment分析力学Analytic Mechanics分析生物化学Analytical Biochemistry分析生物化学Analytical Biochemistry分子病毒学Molecular Virology分子进化工程Engineering of Molecular Evolution分子生物学Molecular Biology分子生物学技术Protocols in Molecular Biology分子遗传学Molecular Genetics风机调节Fan Regulation风机调节.使用.运转Regulation, Application & Operation of Fans风机三元流动理论与设计Tri-V ariant Movement Theory & Design of Fans风能利用Wind Power Utilization风险投资分析Analysis of Risk Investment服务业营销Service Industry Marketing辅助机械Aided Machine腐蚀电化学实验Experiment in Erosive Electrochemistry复变函数Complex V ariables Functions复变函数与积分变换Functions of Complex V ariables & Integral Transformation 复合材料结构力学Structural Mechanics of Composite Material复合材料力学Compound Material Mechanics傅里叶光学Fourier OpticsG开头的课程概率论Probability Theory概率论与数理统计Probability Theory & Mathematical Statistics概率论与随机过程Probability Theory & Stochastic Process概率与统计Probability & Statistics钢笔画Pen Drawing钢的热处理Heat-Treatment of Steel钢结构Steel Structure钢筋混凝土Reinforced Concrete钢筋混凝土及砖石结构Reinforced Concrete & Brick Structure钢砼结构Reinforced Concrete Structure钢砼结构与砌体结构Reinforces Structure and Monsary Structure钢砼课程设计Reinforced Concrete Course Design钢砼设计Experiment of Reinforced Concrete Structure高层建筑基础Tall Building Foundation高层建筑基础设计Designing bases of High Rising Buildings高层建筑结构设计Designing Structures of High Rising Buildings高等材料力学Advanced Material Mechanics高等代数Advanced Algebra高等发光分析Advanced Luminescence Analysis高等分析化学Advanced Analytical Chemistry高等工程力学Advanced Engineering Mechanics高等光学Advanced Optics高等环境微生物Advanced Environmental Microorganism高等教育管理Higher Education Management高等教育史History of Higher Education高等教育学Higher Education高等量子力学Advanced Quantum Mechanics高等生物化学Advanced Biochemistry高等数理方法Advanced Mathematical Method高等数学Advanced Mathematics高等数值分析Advanced Numeric Analysis高等土力学Advanced Soil Mechanics高等无机化学Advanced Inorganic Chemistry高等有机化学Advanced Organic Chemistry高电压测试技术High-V oltage Test Technology高电压技术High-V oltage Technology高电压技术与设备High-V oltage Technology and Device高电压绝缘High-V oltage Insulation高电压实验High-V oltage Experiment高分子材料High Polymer Material高分子材料及加工High Polymer Material & Porcessing高分子化学High Polymer Chemistry高分子化学实验High Polymer Chemistry Experiment高分子化学与物理Polymeric Chemistry and Physics高分子物理High Polymer Physics高分子物理实验High Polymer Physics Experiment高级程序设计语言的设计与实现Advanced Programming Language's Design & Implementation 高级管理信息系统Advanced Management Information Systems高级计算机体系结构Advanced Computer Architecture高级计算机网络Advanced Computer Networks高级计算机网络与集成技术Advanced Computer Networks and Integration Technology高级经济计量Advanced Economic Metrology高级软件工程Advanced Software Engineering高级生化技术Advanced Biochemical Technique高级生物化学Advanced Biochemistry高级食品化学Advanced Food Chemistry高级视听Advanced V ideos高级数据库Advanced Database高级数理逻辑Advanced Numerical Logic高级水生生物学Advanced Aquatic Biology高级英语听说Advanced English Listening & Speaking高级植物生理生化Advanced Plant Physiology and Biochemistry高能密束焊High Energy-Dense Beam Welding高频电路High-Frequency Circuit高频电子技术High-Frequency Electronic Technology高频电子线路High-Frequency Electronic Circuit高维代数簇Algebraic V arieties of Higher Dimension高压测量技术High-V oltage Measurement Technology高压测试技术High-V oltage Testing Technology高压电场的数值计算Numerical Calculation in High-V oltage Electronic Field高压电工程High-V oltage Engineering高压电技术High-V oltage Technology高压电器High-V oltage Electrical Appliances高压绝缘High-V oltage Insulation高压实验High-V oltage Experimentation高压实验设备测量High-V oltage Experimentation Equipment Measurement高压试验技术High-V oltage Experimentation Technology工厂电气设备Electric Equipment of Plants工厂供电Factory Electricity Supply工程材料的力学性能测试Mechanic Testing of Engineering Materials 工程材料及热处理Engineering Material and Heat Treatment工程材料学Engineering Materials工程测量Engineering Surveying工程测量实习Engineering Measuring Practice工程测试技术Engineering Testing Technique工程测试实验Experiment on Engineering Testing工程测试信息Information of Engineering Testing工程测试与信号处理Engineering Testing & Signal Processing工程地质Engineering Geology工程动力学Engineering Dynamics工程概论Introduction to Engineering工程概预算Project Budget工程经济学Engineering Economics工程静力学Engineering Statics工程力学Engineering Mechanics工程热力学Engineering Thermodynamics工程数学Engineering Mathematics工程项目概预算Engineering Project Estimate & Budget工程项目评估Engineering Project Evaluation工程优化方法Engineering Optimization Method工程运动学Engineering Kinematics工程造价管理Engineering Cost Management工程制图Graphing of Engineering工业产品学Industrial Products工业电子学Industry Electronics工业分析Industrial Analysis工业锅炉Industrial Boiler工业会计学Industrial Accounting工业机器人Industrial Robot工业技术基础Basic Industrial Technology工业技术经济Industrial Technology Economics工业建筑设计原理Principles of Industrial Building Design工业经济理论Industrial Economic Theory工业经济学Industrial Economics工业美术设计Art Designing in Industry工业企业财务管理Industrial Enterprise Financial Management工业企业财务会计Accounting in Industrial Enterprises工业企业管理Industrial Enterprise Management工业企业经营管理Industrial Enterprise Administrative Management 工业社会学Industrial Sociology工业心理学Industrial Psychology工业窑炉Industrial Stoves工艺过程自动化Technics Process Automation工艺设计Technics Design工艺实习Technics Practice工艺原理与研究方法Principles & Research of Technics公差Common Difference公差测试实验Common Difference Testing Experiment公差技术测量Technical Measurement with Common Difference公差与配合Common Difference & Cooperation公共关系Public Relationship公共关系学Public Relations公司法Corporation Law公司组织与管理Organization and Management公司组织与管理Organization and Management of Corporate公文写作Document Writing功能材料原理与技术Principle and Technology of Functional Materials 功能高分子Functional Polymer功能性食品Function Foods古代汉语Ancient Chinese古典文学作品选读Selected Readings in Classical Literature骨科医学Osteopathic Medicine固体磁性理论Theory of Magnetism in Solid固体激光Solid State Laser固体激光器件Solid Laser Elements固体激光与电源Solid State Laser & Power Unit固体理论Solid State Theory固体物理Solid-State Physics故障诊断与容错技术Malfunction Diagnoses & Tolerance Technology 关税Tariff管理概论Introduction to Management管理沟通Management Communication, Management Negotiation管理会计Managerial Accounting管理经济学Management Economics管理科学专题Management Science Special Subject管理数学Management Mathematics管理系统FOXBASE Management System of FOXBASE管理系统模拟Management System Simulation管理心理学Management Psychology管理信息系统Management Information System管理学Management Theory, Principles of Management管理学Principles of Management光波导理论Light Wave Guide Theory光电技术Photoelectric Technology光电检测与信号处理Optoelectronic Detection and Processing光电课程设计Photoelectric Course Exercise光电摄像技术Photoelectric Photographing Technique光电探测及信号处理Photoelectric Inspect & Signal Processing光电系统课程设计Photoelectric System Course Design光电信号处理Photoelectric Signal Processing光电信号与系统分析Photoelectric Signal & Systematic Analysis光电信息计算机处理Computer Processing in Photoelectric Information光电子技术Photoelectronic Technique光电子学与光电信息技术Optoelectronics and Optoelectronic Information Technology 光辐射探测技术Ray Radiation Detection Technology光接入网技术Technology of Light Access Network光谱Spectrum光谱分析Spectral Analysis光谱学Spectroscopy光纤传感Fibre Optical Sensors光纤传感器Fibre Optical Sensors光纤传感器基础Fundamentals of Fibre Optical Sensors光纤传感器及应用Fibre Optical Sensors & Applications光纤光学Fiber Optics光纤光学课程设计Course Design of Fibre Optical光纤技术实验Experiments in Fibre Optical Technology光纤实验Experiments in Fibre Optical光纤通信基础Basis of Fibre Optical Communication光纤通信技术Fibre Optical Communication Technology光纤通信网络Networks of Fiber Communications光纤通信系统Fibre Optical Communication System, System of Fiber Communications 光纤原理与技术Fibre Optical Operation & Technology光学Optics光学测量Optical Measurement光学分析法Optical Analysis Method光学工艺实习Optical Technology Practice光学计量仪器设计Optical Instrument Gauge Designing光学检测Optical Detection光学设计Optical Design光学信息导论Introduction of Optical Information光学仪器设计Optical Instrument Designing光学仪器与计量仪器设计Optical Instrument & Gauge Instrument Designing光学仪器装配与校正Optical Instrument Installation & Adjustment光学与统计物理Optics and Statistical Physics光学与原子物理Optics & Atomic Physics光子学器件原理与技术Principle and Technology of Photonics Devices光子学专题Special Topics on Photonics广播编辑学Broadcast Editing广播节目制作Broadcast Programming广播新闻Broadcast Journalism广播新闻采写Broadcast Journalism Collection & Composition广告管理Advertising Management广告学Advertisement锅炉课程设计Boiler Combustion Course Designing锅炉燃烧理论Theory of Boiler Combustion。
线性规划
B1
B2
B3
产量（件）
A1 A250
6 5 200
200 300
问应如何调运，使得总运输费最小？
解：我们知道A1、A2两个产地的总产量为： 200 + 300 = 500（件）；B1，B2，B3三个销地 的总销量为：150+150+200=500（件）,总产量 等于总销量这是一个产销平衡的运输问题。把 A1，A2 的产量全部分配给B1，B2，B3，正好 满足这三个销地的需要。
一、解题步骤
1 在直角平面坐标系中画出所有的约束等式，并找出所有约束条件的公共部 分，称为可行域，可行域中的点称为可行解。 2 标出目标函数值增加的方向。 3 若求最大（小）值，则令目标函数等值线沿（逆）目标函数值增加的方向 平行移动，找与可行域最后相交的点，该点就是最优解。 4 将最优解代入目标函数，求出最优值。
max z = 2 x1 + 3 x2 3.约束条件： x1 + 2x2 ≤ 8 4x1 ≤ 16 4x2 ≤ 12 x1， x2≥0
问：应如何安排生产计划，才能使 总利润最大？
例1.2 某厂生产三种药物，这些药
物可以从四种不同的原料中提取。 下表给出了单位原料可提取的药物
解： 1.决策变量：设四种原料的使用 量分别为： x1、x2 、x3 、x4 2.目标函数：设总成本为z，则有： min z = 5 x1 + 6 x2 + 7 x3 + 8 x4 3.约束条件： x1 + 2x2 + x3 + x4 ≥160 2x1 +4 x3 +2 x4 ＝200 ≤180
若目标函数为使购买的 若目标函数为使裁剪后 钢筋最少 零料最少, 则有 min f ( x ) x x x4 xx 01 .1 x1 0.x 33 x2 0. 9 x3 2 5 0 6 4 1.1x5 0.2 x6 2 x1 1 x2 2 x3 3 x4 4 100 2 x x 3x 2 x 100 2 5 6 3 5 6 s.t. 2 3 1 x3 3 3x4 4 2 x6 6 100 x1 1, x 2 2, x 3 3, x 4 4, x5 5, x6 60 x1 则有最优解为 : 100 x1 , 10 x2 , 50 , x 4 30 , OBJ 16 最优解为 : x4 x6 , 50 OBJ 10
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• 3. Duality The Duality theorem. The Dual Simplex Method.
• 4. Integer Programming The all-integer and the mixed integercontinuous variable mቤተ መጻሕፍቲ ባይዱthods. Branch-and-bound.
Summary Description
• The module describes the mathematical theory and practice of Operational Research. It covers deterministic methods such as Linear, Integer and Dynamic Programming and probabilistic methods such as Markov Chains, Queueing Theory and Simulation. Some recent methods which have been developed by the Artificial Intelligence community are also discussed. Teaching methods include lectures, computer laboratory classes and tutorials.
• 10. Simulation Generation of pseudo-random numbers and variables. Simulation of Markov Chains and Queues. Simulation languages.
Learning Methods
• basis theory • Stimulation experiment
Content
• 1. Introduction to Operational Research Definitions. Case studies.
• 2. Linear Programming Theory of Linear Programming. Algebraic derivation of the Simplex Method. The big-M method.
•
Learning Outcomes
• Upon the successful completion of this module a student should be able to demonstrate: Formulation of Operational Research problems, Understanding of the theoretical basis of Operational Research, ability to develop software, Ability to evaluate software, Ability to formulate and solve typical Operational Research problems
• 5. Dynamic Programming A shortest-route problem. Principle of optimality. Applications of Dynamic Programming to other problems such as the knapsack problem.
Aims
• • • • to develop a critical approach to Operational Research, to familiarize students with the theory, practice and application of selected areas of Operational Research, to provide an opportunity for the evaluation of appropriate software, to provide students with the necessary knowledge to enable them to undertake postgraduate work in areas of Statistics and Operational Research. to extend the theoretical basis of Operational Research and provide students with a deeper understanding.
8. The Poisson Process
• Distribution of the number of events in a time interval and the inter-event time.
• 9. Queueing Theory The stationary and time dependent M/M/1 queue. The M/G/1 queue. More advanced queueing models.
• 7. Markov Chains Definitions and examples. The Chapman- Kolmogorov equations. Steady-state solutions. Classification of states. The Perron-Frobenius theorems. Reducibility, communication, periodicity, recurrent and absorbing states.
• 6. Artificial Intelligence and OR The AI approach. NP-completeness and the travelling salesman problem. Heuristic optimisation methods – genetic algorithms, simulated annealing, tabu searches. Constraint Programming. Knowledge-based systems.
Advanced Operational Research
• • • • • •
Rationale Aims Learning Outcomes Content Learning Methods Summary Description
Rationale
• To further develop the mathematical formulation of Operational Research problems and study their solution using standard methods and computer packages.