2015美国大学生数学建模题目

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2015年数模小美赛C题翻译参考

C题原文Why people turn to terrorism, and especially suicidal terrorism?What are the major reasons? It’s typically a combination of big issues and little ones, or what some call “push and pull” factors. The bigger issues include alienation, shared anger or outrage (e.g. at some foreign policy), frustration, disillusionment, a sense of victimization by the actions, or in the case of Syria, inactions, of others.The littler issues, the “lures” include the perceived benefits of turning - e.g. adventure, excitement, camaraderie, a sense of belonging,being part of something far bigger etc. The key to understanding is not just to ask why people turn but how they turn, and what strategies recruiters use in that process. Effective recruiters will use whatever tools in their arsenal to pull someone in, whether it is convincing them of their duty to go fight in defense of others,to convincing them that involvement offers them a way out of the humiliation and victimization the recruiter will remind the young person they are otherwise destined to face at home. Radicalization,and how it relates to recruitment (and how we respond to it) is a constantly changing system. Some extreme traits are not as disadvantageous for fitness, as they appear to be for social adaptation or well-being, even when severely disordered subjects are examined.In fact, some traits increase in severity, they become more advantageous for attracting more mates and even producing more offspring.This would characterize these traits as risky shortcuts to fitness,owing less to failures than to the twists and turns made by genes in order to perpetuate themselves. Why someone joins today is different to why someone might have joined even the same group three years ago. The idealism that helps draw someone into terrorism often conflicts with the reality as experienced by the newly minted recruit.Entrapment (in a psychological sense) develops quickly and recruits have to cope with that disillusionment one way or another.You acquiesce to it and move on, maybe by embracing ideological content or seeking comfort in the camaraderie. Or you struggle with and try to conceal it until you can get out. Some terrorists report being disillusioned long before they have been able to disengage from terrorism. They report a sense of suffocation - being unable to leave for fear of retaliation (either by the terrorists or by the State) and being equally afraid of their disillusionment being detected by those close to them in the movement. We need to do a better job of providing “o ff-ramps” not just for people who are on the road to terrorism in the first place, but also to those who have gotten themselves in a jam and want to get out before it’s too late. We need to know their certain psychological characteristics.Consider two questions. First: Who are you? What makes you different from your peers, in terms of the things you buy, the clothes you wear, and the car you drive (or refuse to)? What makes you unique in terms of your basic psychological make-up-the part of you that makes you do the things you do, say the things you say, and feel the things you feel? And the second question: How do you use the internet?Although these questions may seem unrelated, they’re not. Clearly the content of your internet usage can suggest certain psychological characteristics. Spending a lot of late nights playing high stakes internet poker? Chances are you area risk taker. Like to post videos of yourself doing karaoke on YouTube? Clearly an extravert. Choose to play as a opposite gender character in online games? You want to get attention or kinder treatment from other players.But what about the mechanics of your internet usage - how often you email others, chat online, stream media, play game, or multi-task (switch from one application or website to another)? Can these behaviors - regardless of their content - also predict psychological Why people turn to terrorism, and especially suicidal terrorism?What are the major reasons? It’s typically a combination of big is sues and little ones, or what som e call “push and pull” factors. The bigger issues include alienation, shared anger or outrage (e.g. at some foreign policy), frustration, disillusionment, a sense of victimization by the actions, or in the case of Syria, inactions, of others.The littler is sues, the “lures” include the perceived benefits of turning - e.g. adventure, excitement, camaraderie, a sense of belonging,being part of something far bigger etc. The key to understanding is not just to ask why people turn but how they turn, and what strategies recruiters use in that process. Effective recruiters will use whatever tools in their arsenal to pull someone in, whether it is convincing them of their duty to go fight in defense of others,to convincing them that involvement offers them a way out of the humiliation and victimization the recruiter will remind the young person they are otherwise destined to face at home. Radicalization,and how it relates to recruitment (and how we respond to it) is a constantly changing system. Some extreme traits are not as disadvantageous for fitness, as they appear to be for social adaptation or well-being, even when severely disordered subjects are examined.In fact, some traits increase in severity, they become more advantageous for attracting more mates and even producing more offspring.This would characterize these traits as risky shortcuts to fitness, owing less to failures than to the twists and turns made by genes in order to perpetuate themselves.Why someone joins today is different to why someone might have joined even the same group three years ago. The idealism that helps draw someone into terrorism 1characteristics?Assume we can monitor some people’s Internet use. We didn’t know what people were looking at on the internet (for example, depressed person - a dead giveaway), but merely how they were using the internet. None of the data categories gave specific information about what websites people were visiting, the content of their emails or chats, or the types of files being downloaded - they simply indicated the extent to which people used different broad categories of net-based resources, as well as differences in people’s tendency to use many resources at once.Task 1: Build a mathematical model to obtain a risk index, so we can evaluate the situation of each monitored person use it.Task 2: Experts use the expression big data to indicate huge amounts of information. We’ll get a lot of monitoring data, Please develop a series of statistical techniques to categorize them in an effective, fast and automatic manner.Task 3: If President Obama asked for your advice on fighting terrorism, what would you tell him? What should he do about ISIS?*Your ICM submission should consist of a 1 page Summary Sheet and your solution cannot exceed 20 pages for a maximum of 21 pages.C题翻译为什么人们转向恐怖主义，特别是自杀的恐怖主义？主要的原因是什么？它通常是一个大问题和小的组合，或者说什么叫做“推拉”因素。

2015年美国数学建模竞赛第二次模拟赛题

Problem A Warmer Days or Sour Grapes ?The high quality of wines（葡萄酒）produced in the Finger Lakes Region（五指湖区）of upstate （北部）New York is widely known. Proximity（接近）to lakes tempers the climate and makes it more suitable for growing several varieties of premium（独特）grapes: R iesling（雷司令）, G ewürztraminer（琼瑶浆）,C hardonnay（霞多丽）, M erlot（梅洛）, P inot Noir（黑比诺）, and CabernetF ranc（品丽珠）. (There are many more, but we will restrict（限制）the discussion to these six to simplify（简化）the modeling.) Each variety has its own preferred “average temperature” range but is also different in its susceptibility（感受性）to diseases and ability to withstand（抵抗）short periods of unusually cold temperature.As our local climate changes, the relative suitability of these varieties will be changing as well. A forward-looking winery（酒厂）has hired your team to help with the long-term planning. You will need to recommenda) the proportion（比例）of the total vineyard（葡萄园）to be used for growing each of the above six varieties;b) and when should these changes be implemented （实施）(based on observed temperatures and/or current market prices for each type of wine).Naturally, the winery is interested in maximizing its annual profit. But since the latter （后者）is weather-dependent, it might vary a lot year-to-year. You are also asked to evaluate the trade-offs （权衡）between optimizing the expected/average case versus the worst(-realistic-)scenario（情景）.Things to keep in mind:Climate modeling is complicated（复杂）and predicting the rate of “global warming” is a hotly debated area. For the purposes of this problem, assume that the annual average temperature in Ithaca（伊萨卡）, NY will increase by no more than 4°C by the end of this century.It is not all about the average temperature – a short snap（临时）of sub- zero（零度）temperature in late Ferburay or early March (after the vines already started getting used to warmer weather) is far more damaging than the same low temperature would be in the middle of the winter.It takes at least 3 years for a newly planted vine to start producing grapes suitable for winemaking.Problem B Outlook of Car-to-Car TechSAN FRANCISCO -- After more than a decade of research into car-to-car communications, U.S. auto safety regulators took a step forward today by unveiling their plan for requiring cars to have wireless gear that will enable them to warn drivers of danger.These vehicle-to-vehicle (V2V) transmitters and software could save thousands of lives and prevent hundreds of thousands of crashes each year by providing cars with information they never will be able to gather simply from cameras and sensors. “Safety is our top priority, and V2V technology represents the next great advance in saving lives,” Transportation Secretary Anthony Foxx said in an announcement. “This technology could move us from helping people survive crashes to helping them avoid crashes altogether.”Requirement 1: Present a mathematical model to discuss the reduction of the number of traffic accidents and road fatalities/injuries in San Francisco by V2V technology. Requirement 2: Determine the maximum number of cars in San Francisco due to the V2V technology.Requirement 3: Discuss the benefits of V2V technology to alleviate road congestion. Requirement 4: Provide your recommendation to the government.Prblem C Forest FiresOne major environmental concern is the occurrence of forest fires (also called wildfires), which affect forest preservation, bring economical and ecological damage and endanger human lives. Such phenomenon is due to multiple causes (e.g. human negligence and lightnings). Despite an increasing of state expenses to control this disaster, each year millions of forest hectares (ha) are destroyed all around the world.Fast detection is an important element for successful firefighting. Traditional human surveillance is expensive and affected by subjective factors, there has been an emphasis to develop automatic solutions, such as satellite-based, infrared/smoke scanners and local sensors (e.g. meteorological). Propagation models try to describe the future evolution of the forest fire given an initial scenario and certain input parameters. Modeling the dynamical behavior of fire propagation in a forest is helpful for creating scheme to control and fight fire.Requirement 1 Describe several different metrics that could be used to evaluate the effectiveness of fire detection. Could you combine your metrics to make them even more useful for measuring quality?Requirement 2 Model the dynamical behavior of fire spread in a forest. Requirement 3 Discuss the factors to affect fire occurrence. Which factors are the most critical in causing fires. Build mathematical models to predict the burned area of fires using Meteorological Data.Requirement 4 Give y our suggestion for preventing from forest fire and fighting against it.Problem D Wearable Activity RecognitionThe percentage of EU citizens aged 65 years or over is projected to increase from 17.1% in 2008 to 30.0% in 2060. In particular, the number of 65 years old is projected to rise from 84.6 million to 151.5 million, while the number of people aged 80 or over is projected to almost triple from 21.8 million to 61.4 million (EUROSTAT: New European Population projections 2008–2060). It has been calculated that the purely demographic effect of an ageing population will push up health-care spending by between 1% and 2% of the gross domestic product (GDP) of most member states. At first sight this may not appear to be very much when extended over several decades, but on average it would in fact amount to approximately a 25% increase in spending on health care, as a share of GDP, in the next 50 years (European Economy Commission, 2006). The effective incorporation of technology into health-care systems could therefore be decisive in helping to decrease overall public spending on health. One of these emerging health-care systems is daily living physical activity recognition.Daily living physical activity recognition is currently being applied in chronic disease management (Amft & Troter, 2008; Zwartjes, Heida, van Vugt, Geelen, & Veltink, 2010), rehabilitation systems (Sazonov, Fulk, Sazonova, & Schuckers, 2009) and disease prevention (Sazonov, Fulk, Hill, Schutz, & Browning, 2011; Warren et al., 2010), as well as being a personal indicator to health status (Arcelus et al., 2009). One of the principal subjects of the health related applications being mooted is the monitoring of the elderly. For example, falls represent one of the major risks and obstacles to old people’s independence (Najafi, Aminian, Loew, Blanc, & Robert, 2002; Yu, 2008). This risk is increased when some kind of degenerative disease affects them. Most Alzheimer’s patients, for exa mple, spend a long time every day either sitting or lying down since they would otherwise need continuous vigilance and attention to avoid a fall.The registration of daily events, an important task in anticipating and/or detecting anomalous behavior patterns and a primary step towards carrying out proactive management and personalized treatment, is normally poorly accomplished by patients’ families, healthcare units or auxiliary assistants because of limitations in time and resources. Automatic activity-recognition systems could allow us to conduct a completely detailed monitoring and assessment of the individual, thus significantly reducing current human supervision requirements.Most wearable activity recognition systems assume a predefined sensor deployment that remains unchanged during runtime. However, this assumption does not reflect real-life conditions. During the normal use of such systems, users may place the sensors in a position different from the predefined sensor placement. Also, sensors may move from their original location to a different one, due to a loose attachment. Activity recognition systems trained on activity patterns characteristic of a given sensor deployment may likely fail due to sensor displacements.Your task is as follows.(1) Build models to recognize daily living activities.(2) Explore the effects of sensor displacement induced by both the intentionalmisplacement of sensors and self-placement by the user.(3) Verify your recognition models’ toleranc e to sensor displacement.Data Set Information:The REALDISP (REAListic sensor DISPlacement) dataset has been originally collected to investigate the effects of sensor displacement in the activity recognition process in real-world settings. It builds on the concept of ideal-placement, self-placement and induced- displacement. The ideal and mutual-displacement conditions represent extreme displacement variants and thus could represent boundary conditions for recognition algorithms. In contrast, self-placement reflects a users perception of how sensors could be attached, e.g., in a sports or lifestyle application. The dataset includes a wide range of physical activities (warm up, cool down and fitness exercises), sensor modalities (acceleration, rate of turn, magnetic field and quaternions) and participants (17 subjects). Apart from investigating sensor displacement, the dataset lend itself for benchmarking activity recognition techniques in ideal conditions.Dataset summary:#Activities: 33#Sensors: 9#Subjects: 17#Scenarios: 3ACTIVITY SET:A1: WalkingA2: JoggingA3: RunningA4: Jump upA5: Jump front & backA6: Jump sidewaysA7: Jump leg/arms open/closedA8: Jump ropeA9: Trunk twist (arms outstretched)A10: Trunk twist (elbows bent)A11: Waist bends forwardA12: Waist rotationA13: Waist bends (reach foot with opposite hand)A14: Reach heels backwardsA15: Lateral bend (10_ to the left + 10_ to the right)A16: Lateral bend with arm up (10_ to the left + 10_ to the right)A17: Repetitive forward stretchingA18: Upper trunk and lower body opposite twistA19: Lateral elevation of armsA20: Frontal elevation of armsA21: Frontal hand clapsA22: Frontal crossing of armsA23: Shoulders high-amplitude rotationA24: Shoulders low-amplitude rotationA25: Arms inner rotationA26: Knees (alternating) to the breastA27: Heels (alternating) to the backsideA28: Knees bending (crouching)A29: Knees (alternating) bending forwardA30: Rotation on the kneesA31: RowingA32: Elliptical bikeA33: CyclingSENSOR SETUP:Each sensor provides 3D acceleration (accX,accY,accZ), 3D gyro (gyrX,gyrY,gyrZ), 3D magnetic field orientation (magX,magY,magZ) and 4D quaternions (Q1,Q2,Q3,Q4). The sensors are identified according to the body part on which is placed respectively:。

(最新整理)数学建模美赛试题

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地球资源的消耗速度快,越来越多的人关注人类社会的未来.自1960年以来，已经有许多专家研究可持续发展.然而大多数人的研究对象是整个世界，一个国家或一个地区。

几乎没有人选择48个最不发达国家(LDC)在联合国为研究对象列表。

然而,LDC国家集团共享许多相同的点。

他们的发展道路也有法律的内涵。

本文选择这些国家为研究对象针对发现常规的可持续发展道路。

本文组织如下.第二部分介绍研究的背景和本研究的意义。

第三节描述了我们对可持续发展的理解细节和显示我们的评估系统的建立过程和原理，那么我们估计每一个国家的LDC和获得可持续发展的能力和等级。

第四节提供了一个最糟糕的国家毛里塔尼亚计划指数在第三节。

第五节演示了在第四节的合理性和可用性计划。

最后在第六节总结本文的主要结论和讨论的力量和潜在的弱点。

地球上的资源是有限的。

三大能源石油、天然气和煤炭可再生。

如何避免人类的发展了资源枯竭和实现可持续发展目标是现在的一个热门话题.在过去的两个世纪,发达国家已经路上,先污染，再控制和达到高水平的可持续发展。

发展中国家希望发展和丰富。

然而,因为他们的技术力量和低水平的经济基础薄弱,浪费和低效率的发展在这些国家是正常的.所以本文主要关注如何帮助发展中国家特别是48在联合国最不发达国家实现可持续发展是列表可持续发展的理解是解决问题的关键.可持续发展的定义经历了一个长期发展的过程.在这里，布伦特兰可持续发展委员会的简短定义的"能力发展可持续- — - — - -以确保它既满足现代人的需求又不损害未来的能力代来满足自己的需求"［1]无疑是最被广泛接受的一个在各种内吗定义.这个定义方面发挥了重要作用在很多国家的政策制定的过程.然而，为了证明一个国家的现状是否可持续不可持续的,更具体的定义是必要的更具体的概念,我们认为,如果一个国家的发展是可持续的,它应该有一个基本的目前的发展水平，一个平衡的国家结构和一个光明的未来。

2015美国大学生数学建模竞赛D题

1.2 Our work

We tackle four main sub problems: Factors affecting the evaluation of sustainable development of a country are analyzed based on the theory of sustainable development. Develop a model for the sustainability of a country. This model should provide a measure to distinguish more sustainable countries and policies from less sustainable ones. Choose from forty-eight poorest countries LDC country, according to the model of a task1 has been established for the selected countries to create a more sustainable development plan in the next 20 years in the development process, so that the country toward a more sustainable future. Evaluate the effect our 20-year sustainability plan has on our country’s sustainability measure created in Task 1. And predicted under the evaluation system to implement our plan will happen the change over the next 20 years. According to the selected country, we should consider the environmental factors, Climate change, development aid, foreign investment, natural disasters, and the instability of the regime, etc. We determine which project or policy for the sustainable development measures of the state will have the greatest effect. Write a report to explain the established model, including sustainable development, sustainable development plans, according to the model and the national environmental situation, analysis the effect of the plan. For the ICM provides a sustainable development of intervention strategy about investment in LDC countries.

2015美国大学生数模竞赛C题翻译

1. ICM aims to identify the risk of churn in its early stages, as it is cheaper to gain the loyalty of anemployee early in their carreer rather than have to improve the culture once it has soured. It is more productive to have a motivated workforce from the start rather than having to provide incentives to prevent people from leaving.ICM旨在识别生产处于早期阶段的风险,因为它是便宜的忠诚员工在他们的事业上,而不是改善早期文化一旦恶化。

是更有生产力从一开始就积极的劳动力而不必提供激励措施阻止人们离开。

2.A worker is more likely to churn if he or she was connected to other former employees who have churned. Thus churn seems to diffuse from employee to employee, so identifying those that are likely to churn is valuable information to prevent further churning.一个工人更有可能生产如果他或她与其他前员工有搅拌。

因此从员工流失似乎弥漫员工,因此识别那些可能产生有价值的信息防止进一步的生产。

3.One HR issue is matching employees to the right position such that their knowledge and abilities can be maximized. Currently each employee gets an annual evaluation based on performance as judged by the supervisor. These ratings are currently not used by the HR office.一个人力资源问题是匹配到正确的位置,这样员工知识和能力可以最大化。

2015数模美赛A题翻译

PROBLEM A: Eradicating EbolaThe world medical association has announced that their new medication could stop Ebola and cure patients whose diseases not advanced. Build a realistic, sensible, and useful model that considers not only the spread of the disease, the quantity of the medicine needed, possible feasible delivery systems, locations of delivery, speed of manufacturing of the vaccine or drug, but also any other critical factors your team considers necessary as part of the model to optimize the eradication of Ebola, or at least its current strain. In addition to your modeling approach for the contest, prepare a 1-2 page non-technical letter for the world medical association to use in their announcement.A消除埃博拉病毒世界医学协会已经宣布他们的新疗法可以阻止埃博拉疫情和治愈非晚期患者。

构建一个现实的、合理的和有用的模型,不仅要考虑疾病的传播,所需药物的数量,可能且可行的给药系统,给药地点,生产疫苗或药物的速度,而且还要考虑其他关键因素（你的团队认为有必要要考虑的）作为模型的一部分以优化消除埃博拉病毒，或至少是现行毒株。

2015美国数学建模C题中文翻译(非谷歌翻译)

在组织中管理人力资源建设充满了良好的，有才华的，训练有素的人是一个组织成功的关键之一。

但是要想做到这一点，组织不仅仅需要招聘和雇佣到最佳职员---他们同事也要能留住人才，让他们得到适当的培训并且被放置在合适的位置上，最终让和合适的新员工来代替那些离开的人的位置。

个体在一个组织中发挥着非常独特的，正式和非正式的作用。

因此，个人的离职就需要有人来替代离职人的功能和遗留的重要信息。

这对运动队，商业公司，学校，大学等几乎所有的正式团体或组织里的人都使用。

人力资源专家帮助高层领导通过提高保留和激励，协调培训和建立好的团队。

特别地，领导寻求去建立一个人们被分配到与他们的和经验相匹配的位置的高效的组织结构，而且配有高效的沟通系统来促进创新和优质的产品（商品或服务）。

这些资源管理和团队建设正在重塑许多的现在组织。

在一个组织内管理人力资源的流体网络需要了解员工对公司和他的团队的忠诚度，建立值得信赖的工作场所，管理形成，解散和留任的人中的正式与非正式的关系。

当有人跳槽或者退休，这种替代带来的湍流统称为组织的“流失”。

你的团队被人力资源经理要求在ICM公司内部（共370人）建立一个框架和模型来更好地解释这种“流失”。

ICM 正处在一个竞争激烈的市场中，需要有效的人力资本管理来面对挑战。

人力资源经理希望在组织中建立一个反映人力资本的网络模型。

现在是贵公司面临的一些问题。

1.ICM的目的是在前期发现人员流失的风险，因为在一开始就获得员工的忠诚远比等情况已经无法挽救后再改变文化容易得多。

一开始就能建立一个积极的工作氛围远比提供防止人们离开的激励措施更加有效。

2.一名与之前跳槽的员工有联系的员工更加容易跳槽。

因此，人员流失似乎是从一个人扩散到另一个人的，所以发现那些可能跳槽的员工是阻止人员流失的重要措施。

3.一个人力资源问题就是把雇员放到能够使其知识和能力达到最大化的正确位置上。

目前，每个员工都可以一份基于自己工作表现的，由主管评定的年度考核报告。

2015年数学建模竞赛题目

2015年数学建模竞赛题目（原创实用版）目录1.2015 年数学建模竞赛概述2.竞赛题目分类及解析3.竞赛题目解答思路及方法4.竞赛对学生的意义和影响正文【2015 年数学建模竞赛概述】2015 年数学建模竞赛，即全国大学生数学建模竞赛，是我国面向全国大学生的一项重要的学科竞赛活动。

该竞赛旨在激发大学生学习数学的积极性，提高他们的创新意识和运用数学知识解决实际问题的综合能力，推动大学数学教学体系、教学内容和方法的改革。

【竞赛题目分类及解析】2015 年数学建模竞赛共有 A、B、C 三个题目，分别涉及不同的领域。

A 题：飞行器设计优化题目要求：根据给定的飞行器参数，建立数学模型，并求解最优设计方案。

解析：此题属于优化问题，需要运用线性规划、非线性规划等相关知识。

B 题：水质监测与评价题目要求：分析给定的水质监测数据，建立评价模型，对水质进行评价。

解析：此题涉及数据处理、统计分析、模糊评价等知识。

C 题：智能家居系统题目要求：设计一个智能家居系统，满足给定的功能需求。

解析：此题需要了解图论、动态规划等知识，以解决网络拓扑结构、任务调度等问题。

【竞赛题目解答思路及方法】1.对题目进行仔细阅读，理解题意，明确题目要求。

2.分析题目涉及的领域和知识点，确定解题思路。

3.利用相关数学方法和工具，建立数学模型。

4.求解模型，得到结果。

5.对结果进行分析和检验，撰写论文。

【竞赛对学生的意义和影响】参加数学建模竞赛，对学生具有重要的意义和影响。

首先，它可以激发学生学习数学的兴趣，提高他们的数学素养。

其次，通过解决实际问题，学生可以锻炼自己的创新能力和团队协作能力。

最后，竞赛成绩优秀的学生，还有机会获得奖学金、保研等优惠政策。

总之，2015 年数学建模竞赛题目涉及多个领域，对参赛学生的知识储备和解题能力提出了较高的要求。

2015年美赛数学建模题目

2015 Contest ProblemsMCM PROBLEMSPROBLEM A: Eradicating EbolaThe world medical association has announced that their new medication could stop Ebola and cure patients whose disease is not advanced. Build a realistic, sensible, and useful model that considers not only the spread of the disease, the quantity of the medicine needed, possible feasible delivery systems, locations of delivery, speed of manufacturing of the vaccine or drug, but also any other critical factors your team considers necessary as part of the model to optimize the eradication of Ebola, or at least its current strain. In addition to your modeling approach for the contest, prepare a 1-2 page non-technical letter for the world medical association to use in their announcement.PROBLEM B: Searching for a lost planeRecall the lost Malaysian flight MH370. Build a generic mathematical model that could assist "searchers" in planning a useful search for a lost plane feared to have crashed in open water such as the Atlantic, Pacific, Indian, Southern, or Arctic Ocean while flying from Point A to Point B. Assume that there are no signals from the downed plane. Your model should recognize that there are many different types of planes for which we might be searching and that there are many different types of search planes, often using different electronics or sensors. Additionally, prepare a 1-2 page non-technical paper for the airlines to use in their press conferences concerning their plan for future searches.ICM PROBLEMSPROBLEM C: Managing Human Capital in OrganizationsClick the title below to download a PDF of the 2015 ICM Problem C.Your ICM submission should consist of a 1 page Summary Sheet and your solution cannot exceed 20 pages for a maximum of 21 pages.Managing Human Capital in OrganizationsPROBLEM D: Is it sustainable?Click the title below to download a PDF of the 2015 ICM Problem D.Your ICM submission should consist of a 1 page Summary Sheet and your solution cannot exceed 20 pages for a maximum of 21 pages.Is it sustainable?。

2015美国数学建模大赛一等奖作品

Team#36884
2
1
Introduction
The Heads of State, Government and high-level representatives promised to renew our commitment to sustainable development in The Future We Want, a solution adopted by the General Assembly. But how we deﬁne a country is sustainable or not? The United Nations have developed some detailed indicators to measure the degree of sustainability. Building a model taking advantage of these indicators to obtain a comprehensive measuring methodology is what we need to do. • Task 1 Task1 requires us to build a model to evaluate a country’s sustainability and to deﬁne sustainability and unsustainability clearly. We separate sustainable development measurement into three subsystems: economy, ecology and society. We choose 23 measuring indicators. Firstly, we build the evaluation model of three-dimension structure based on principal component analysis (PCA). However,it is unreasonable that the larger the indicator value is, the larger the corresponding weight coeﬃcient. Therefore, we use a weighting method based on the mean square deviation to optimize the model. The new model can reﬂect the importance of each indicator directly and objectively . • Task 2 It requires us to choose a country from the 48 LDC countries. We need to evaluate its sustainability and design a sustainable development plan of 20 years for it.We choose Afghanistan as our research object. We use curve ﬁtting to predict the value of each indicators in the coming 20 years. According to these indexes, we calculate the three subsystems scores of next 20 years. At last, we design a sustainable development plan and relevant policy. • Task 3 Task 3 needs us to take the impact of some additional environmental factors into consideration. In taht case, we get predicted value ﬁtting the fact more and evaluate the real eﬀect of our plan. We can visually achieve the proportion of each index from the weighting method based on the mean square deviation. The proportion of a index is larger , its eﬀect on the results is greater. Then we can ﬁnd the most inﬂuential indexes to Afghanistan.

数学建模美国赛历年试题.

历年美国大学生数学建模赛题目录MCM85问题-A 动物群体的管理 (3)MCM85问题-B 战购物资储备的管理 (3)MCM86问题-A 水道测量数据 (4)MCM86问题-B 应急设施的位置 (4)MCM87问题-A 盐的存贮 (4)MCM87问题-B 停车场 (5)MCM88问题-A 确定毒品走私船的位置 (5)MCM88问题-B 两辆铁路平板车的装货问题 (5)MCM89问题-A 蠓的分类 (5)MCM89问题-B 飞机排队 (6)MCM90-A 药物在脑内的分布 (6)MCM90问题-B 扫雪问题 (6)MCM91问题-B 通讯网络的极小生成树 (6)MCM 91问题-A 估计水塔的水流量 (7)MCM92问题-A 空中交通控制雷达的功率问题 (7)MCM 92问题-B 应急电力修复系统的修复计划 (7)MCM93问题-A 加速餐厅剩菜堆肥的生成 (7)MCM93问题-B 倒煤台的操作方案 (8)MCM94问题-A 住宅的保温 (8)MCM 94问题-B 计算机网络的最短传输时间 (9)MCM-95问题-A 单一螺旋线 (9)MCM95题-B A1uacha Balaclava学院 (10)MCM96问题-A 噪音场中潜艇的探测 (10)MCM96问题-B 竞赛评判问题 (10)MCM97问题-A Velociraptor(疾走龙属)问题 (11)MCM97问题-B为取得富有成果的讨论怎样搭配与会成员 (11)MCM98问题-A 磁共振成像扫描仪 (12)MCM98问题-B 成绩给分的通胀 (13)MCM99问题-A 大碰撞 (13)MCM99问题-B “非法”聚会 (13)MCM2000问题-A空间交通管制 (13)MCM2000问题-B: 无线电信道分配 (14)MCM2001问题- A: 选择自行车车轮 (14)MCM2001问题-B 逃避飓风怒吼（一场恶风...） .. (15)MCM2001问题-C我们的水系-不确定的前景 (15)MCM2002问题-A风和喷水池 (15)MCM2002问题-B航空公司超员订票 (16)MCM2002问题-C (16)MCM2003问题-A: 特技演员 (17)MCM2003问题-B: Gamma刀治疗方案 (18)MCM2003问题-C航空行李的扫描对策 (18)MCM2004问题-A：指纹是独一无二的吗？ (18)MCM2004问题-B：更快的快通系统 (18)MCM2004问题-C安全与否？ (19)MCM2005问题A.水灾计划 (19)MCM2005B.Tollbooths (19)MCM2005问题C：不可再生的资源 (20)MCM2006问题A: 用于灌溉的自动洒水器的安置和移动调度 (20)MCM2006问题B: 通过机场的轮椅 (20)MCM2006问题C : 抗击艾滋病的协调 (21)MCM2008问题A:给大陆洗个澡 (23)MCM2008问题B：建立数独拼图游戏 (23)MCM85问题-A 动物群体的管理在一个资源有限，即有限的食物、空间、水等等的环境里发现天然存在的动物群体。

2015年美国数学建模C题获奖成绩

2015 Interdisciplinary Contest in Modeling®Press Release—April 4, 2015COMAP is pleased to announce the results of the 17th annual Interdisciplinary Contest in Modeling (ICM). This year 2137 teams representing institutions from seven countries participated in the contest. Nine teams were designated as OUTSTANDING WINNERS representing the following schools:∙Humboldt State University, (Rachel Carson Award)∙NC School of Science and Mathematics, (INFORMS winner) ∙Xi'an Jiaotong University, China, (Leonhard Euler Award)∙Zhejiang University, China∙Xidian University, China∙Shanghai Jiao Tong University, China∙Xi'an Jiaotong University, China∙Tsinghua University, China∙National University of Defense Technology, ChinaAlso winning as a FINALIST is:∙University of Colorado Denver, (Finalist), (INFORMS winner) This year’s conte st ran from Thursday, February 5 to Monday, February 9, 2015. During that time, teams of three students researched, modeled, and communicated a solution to an open-ended interdisciplinary modeling problem. The 2015 ICM was primarily an online contest, where teams registered and obtained contest materials through COMAP’s ICM W ebsite.Teams chose one of the following two problems: The C Problem involved modeling churn in an organization with the intent of aiding managers and decision makers to build successful systems for recruiting, hiring, training, and evaluating employees. This year the new Problem D focused on the theme of environmental science. Consistent with other ICM problems, the environmental problem challenged teams to utilize science, mathematics, and analysis in their modeling and problem solving. The environmental problem involved developing a model for sustainability and a 20-year sustainable development plan for one country on the United Nations Least Developed Countries list. The teams used their model to evaluate the effect of their 20-year plan on the country’s sustainability. Teams searched for pertinent data and grappled with how economic development must consider ecosystem health and social equitability. Teams came up with creative and geographically relevant solutions.Both problems also had the ever-present ICM requirements to use thorough data analysis, creative modeling, and scientific methodology, along with effective writing and visualization to communicate their teams' results in a 20-page report. A selection from the Outstanding solution papers will be featured in The UMAP Journal, along with commentaries from the problem author and judges. This year’s judges remarked that due to the multi-disciplinary nature of the problems, teams were able to solve these problems using a variety of tools. This allowed teams to showcase their strengths in areas including economics, ecology, environmental sciences, health sciences, public policy, dynamical systems, geo-spatial techniques and network science.2015 ICM Statistics∙2137 Teams participated∙641 Problem C submissions∙1496 Problem D submissions∙45 US Teams (2%)∙2092 Foreign Teams (98%) from China, France, Germany, Indonesia, Singapore and United Kingdom ∙9 Outstanding Winners (1%)∙21 Finalist Winners (1%)∙324 Meritorious Winners (15%)∙919 Honorable Mentions (43%)∙864 Successful Participants (40%)ICM is associated with COMAP’s Mathe matical Contest in Modeling (MCM), which was held during the same weekend. ICM is designed to develop and advance interdisciplinary problem-solving skills in science, technology, engineering, mathematics (STEM) and the humanities, as well as competence in data science and written communication. Over the years the ICM problems have included topics in environmental science, biology, chemistry, resource management, operations research, information science, public health, and network science. Each team is expected to include advisors and team members who represent a range of disciplinary and interdisciplinary interests in applied problem solving and modeling. COMAP is pleased to announce that next year the ICM will add another problem to the options for contestants in the MCM/ICM. In addition to the two ICM problems involving network science and environmental sciences, the ICM will add a third problem in policy modeling. To obtain additional information about the ICM and to obtain a complete listing of all the team designations, please visit the ICM Website at: . Major start-up funding for the ICM was provided by a grant from the National Science Foundation (through Project INTERMATH) and COMAP. Additional support is provided by The Institute for Operations Research and the Management Sciences (INFORMS). COMAP's Mathematical Contest in Modeling and Interdisciplinary Contest in Modeling are unique among modeling competitions in that they are the only international contests in which students work in teams to find a solution. Centering its educational philosophy on mathematical modeling, COMAP uses mathematical tools to explore real-world problems. It serves the educational community as well as the world of work by preparing students to become better informed—and prepared—citizens, consumers, workers, and community leaders.Administered byThe Consortium for Mathematicsand Its ApplicationsContest DirectorsChris Arney, United States Military Academy, NY Tina Hartley, United States Military Academy, NY Executive DirectorSolomon A. Garfunkel, COMAP, Inc., MA。

2015年北美数学建模赛(MCM)A题二等奖论文honorable mention

36837
Problem Chosen
A
F4 ________________
2015
Mathematical Contest in Modeling (MCM/ICM) Summary Sheet
Summary
Ebola viral disease(EVD) has become a problem threatening not only western Africa, but the world. The world medical association has announced their new medication. This paper aims at tackling the following problems: Describing and predicting the spread of EVD based on current statistics; determing the quantity of medicine needed; deciding the speed of manufacturing the vaccine or drug under the principle of meeting demands and lowering costs; locating the delivery center and establish an efficient delivery system. When analyzing demand and supply, an additional factor, inventory level is taken into account. First an improved SIR epidemic model is built. The population of epidemic area is divided into 5 parts instead of 3, to be more comprehensive. By solving a set of differential equations and computing several parameters, we obtained the fitting function of cumulative cases of EVD. Compared with current statistics, the imitative effect is satisfying. Second, by predicting through the fitting function obtained from Model one, we get the approximate demand curve of medicine. Considering efficiency and inventory costs, an approximate speed function of manufacturing is obtained. In the updated model, the proper inventory level is discussed based on EOQ model of short-supply not allowed and time-needed supplying. Third, a three-level delivery system is built based on Model two where supply is guaranteed to be sufficient. Centroid method and analytic hierarchy process (AHP) are combined to select optimal location of distribution center, and the severeness of the epidemic in different places, the distances and transportation costs are considered. In addition, an emergency dispatch scheme is built to response to sudden outbreak. By randomly simulation, we test the sensitivity of Model three, and conclude that it is steady and effective.Team Nhomakorabea#36837

2015年美国数学建模C题(中文)

C题英文翻译管理人力资本的组织建设充满了良好的，有才华的，训练有素的人的组织是成功的关键之一。

但要做到这一点，组织需要做更多的招聘和雇用的最佳人选- 他们还需要留住优秀的人才，让他们适当培训，并放置在适当的位置，并最终瞄准新员工来替换那些离开组织。

个人与组织内发挥独特的作用，无论是正式的和非正式。

因此，个体从一个组织出发离开重要信息和功能组件缺少需要更换。

这是真正的体育团队，商业公司，学校和大学，政府，以及几乎任何正式的团体或组织的人。

通过提高保留和激励，协调培训，并建立良好的团队的人力资源（HR）专家帮助高层领导管理人员。

特别是领导寻求建立一个有效的组织结构，那里的人都分配到适合自己的人才和经验职位，并在高效的通信系统到位，以促进创新的理念，优质的产品（商品或服务）的开发。

人力资源管理的这些人才管理和团队建设等方面的改造许多现代组织。

在一个组织内管理人力资本的流体网络需要了解的人员忠诚于公司，并分组;建立信任在工作场所;和管理的人之间的正式和非正式关系的形成，解散和保留。

当人们前往其他工作或退休所取代，所产生的紊流统称为组织的“流失”。

你的团队已经问过你的人力资源经理制定信息协同制造（ICM）组织的370人之内了解客户流失的框架和模型。

ICM是在竞争激烈的市场，导致相关的有效管理其人力资本的具有挑战性的问题。

人力资源经理希望通过建立一个网络模型映射在组织中的人力资本。

以下是贵公司面临的一些问题：1.ICM目的是找出客户流失的风险，在其早期阶段，因为它是便宜，得到员工的忠诚早在他们carreer，而不是要提高文化一旦恶化。

这是更高效有一个积极进取的队伍从一开始，而不是提供激励措施，以阻止人们离开。

2.一名工人更容易流失，如果他或她被连接到谁搅动了其他前雇员。

因此，客户流失似乎从员工到员工扩散，所以识别那些可能流失是有价值的信息，以防止进一步搅动。

3.一个HR问题是匹配的雇员在正确位置，使得他们的知识和能力可以最大化。

2015数学建模获奖论文A题

②6 月 22 日，太阳直射北回归线，北回归线及其以北各地的正午太阳高度达到全年最大，其日影也达到全年最短。
③6 月 22 日—12 月 22 日，在太阳直射点向南移动过程中，北回归线及其以北各地的正午太阳高度逐渐减小，那么其日影逐渐增长；
④12 月 22 日，太阳直射南回归线，北回归线及其以北各地的正午太阳高度达到全年最小，其日影也达到全年最长。
一年中，各地的日影长度会随季节变化而变化，这种变化主要体现在正午的日影长短上。它与当地的正午太阳高度有直接关系：正午太阳高度越大，日影越短；正午太阳高度越小，日影越长。例如：
①12 月 22 日—6 月 22 日，在太阳直射点向北移动过程中，北回归线及其以北各地的正午太阳高度逐渐增大，那么其日影逐渐缩短；
图 4 天安门广场 15 年 10 月 22 日影子长度随时间(9 点到 15 点)变化图
在该问题中，影子长度的变化曲线根据计算出是一个关于真太阳时 12 点对称的二次函数拟合曲线，所以我们利用题中所给的时间数据运用 MATLAB（附录二）求解该附件的拟合曲线的表达式为
l(t) = 0.3179 t2 - 7.7982t + 51.4250
对于地球上的某个地点，太阳高度角是指太阳光的入射方向和地平面之间的夹角，专业上讲太阳高度角是指某地太阳光线与通过该地与地心相连的地表切线的夹角。太阳高度角简称高度角。当太阳高度角为 90°时，此时太阳辐射强度最大；当太阳斜射地面时，太阳辐射强度就小。
图 1 太阳高度角示意图
太阳方位角即太阳所在的方位，指太阳光线在地平面上的投影与当地经线的夹角，可近似地看作是竖立在地面上的直线在阳光下的阴影与正南方的夹角。方位角以目标物正北方向为零，顺时针方向逐渐变大，其取值范围是 0—360°。因此太阳方位角一般是以目标物的北方向为起始方向，以太阳光的入射方向为终止方向，按顺时针方向所测量的角度。

2015美赛原题翻译

建立一个现实的，合理的，并且有用的模型是认为制造的疫苗或药物的不仅是这种疾病的传播，所述药物的所需要的数量，可能可行递送系统，递送位置，速度，但也可以是任何其他关键因素你的团队认为有必要为模型的一部分，以优化消灭埃博拉病毒，或者至少其目前的压力。

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PROBLEM A: Eradicating Ebola
The world medical association has announced that their new medication could stop Ebola and cure patients whose disease is not advanced. Build a realistic, sensible, and useful model that considers not only the spread of the disease, the quantity of the medicine needed, possible feasible delivery systems, locations of delivery, speed of manufacturing of the vaccine or drug, but also any other critical factors your team considers necessary as part of the model to optimize the eradication of Ebola, or at least its current strain. In addition to your modeling approach for the contest, prepare a 1-2 page non-technical letter for the world medical association to use in their announcement.
PROBLEM B: Searching for a lost plane
Recall the lost Malaysian flight MH370. Build a generic mathematical model that could assist "searchers" in planning a useful search for a lost plane feared to have crashed in open water such as the Atlantic, Pacific, Indian, Southern, or Arctic Ocean while flying from Point A to Point B. Assume that there are no signals from the downed plane. Your model should recognize that there are many different types of planes for which we might be searching and that there are many different types of search planes, often using different electronics or sensors. Additionally, prepare a 1-2 page non-technical paper for the airlines to use in their press conferences concerning their plan for future searches.
让我们回忆失联的马航客机。

建立一个通用的数学模型来帮助搜寻者设计可用的搜寻方案搜寻在A点到B点的飞行中可能已在大西洋、太平洋、印度洋、南大洋或北冰洋等开放水域坠毁的飞机。

假设失联飞机没有任何信号。

你的模型需要考虑到搜索对象包含了许多不同种类的飞机，以及搜寻者的飞机也包含了不同种类（即不同飞机通常使用不同的电子设备和传感器）。

在论文后附上1-2页非技术性文件用于航空公司在媒体发布会上介绍他们未来的搜索方案。

PROBLEM A: Eradicating Ebola
世界医学协会已经宣布他们的新药物可以阻止埃博拉和治愈病人的疾
病并不先进。

构建一个现实的、合理的和有用的模型,不仅考虑疾病的传播,需要药物的数量,可能可行的交付系统,交货地点,制造疫苗或药物
的速度,而且其他关键因素作为模型的一部分你的团队认为有必要优化根除埃博拉病毒,或者至少目前的压力。

除了比赛的建模方法,准备1 - 2页非技术信为世界医学协会使用的声明。

PROBLEM B:寻找失去的飞机
回想一下失去了马来西亚飞行MH370。

构建一个通用的数学模型,可以帮助“搜索者”在规划一个有用的寻找丢失的飞机恐怕已经坠毁在开放水域,如大西洋,太平洋,北冰洋印度南部,或在飞行中从a点到b点。

假设没有信号从坠落的飞机。

您的模型应该认识到,有许多不同类型的飞机,我们可能会有许多不同类型的搜索和搜索飞机,通常使用不同的电子或传感器。

此外,1 - 2页非技术纸准备新闻发布会的航空公司使用未来搜索的关于他们的计划。