a fast tabu search for flow shop with makespan criterion

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Q Sepharose Fast Flow 产品说明书

Q Sepharose Fast Flow 产品说明书

Q1126pis Rev 01/221Product InformationQ Sepharose ® Fast FlowQ1126Product DescriptionQ Sepharose ® Fast Flow is an ion exchangechromatography resin with a quaternary amine (Q) functional group [-CH 2-N +(CH 3)3] attached to Sepharose ® Fast Flow. The Q group serves as astrong anion exchanger, which is completely ionized over a broad pH range. The terms “s trong" and"weak" in ion exchange chromatography refer to the extent of ionization with pH, and not to the binding strength of the functional group to the target species. The parent Sepharose ® Fast Flow is a cross-linked derivative of Sepharose ®. The particle size range is 45-165 µm. The average bead diameter is ~90 µm. The counterion in the product is sulfate (SO 4-2). Recommended cation buffers to use with Q Sepharose ® Fast Flow include alkylamines,ammonium, ethylenediamine, imidazole, pyridine, or Tris. In terms of pH, it is suggested to operate within 0.5 pH unit of the buffer's pK a . With proteins, it is suggested to operate at least 1 pH unit above the pI of the protein, to facilitate binding. Oxidizing agents, and anionic detergents and buffers, should not be used with Q Sepharose ® Fast Flow. Likewise,extended exposure of Q1126 to pH < 4 should be avoided. Several publications 1,2 and dissertations 3-5 cite use of product Q1126 in their research.ReagentQ Sepharose ® Fast Flow is offered as a suspension in 20% ethanol.Approximate Exclusion Limit: average molecular mass of ~4 × 106 DaltonsIonic Capacity: 0.18-0.24 mmol Cl -/mL gel Binding Capacity: ~42 mg BSA per mL gel pH Stability: 2-12Working temperature: 4-40 °CPrecautions and DisclaimerFor R&D use only. Not for drug, household, or other uses. Please consult the Safety Data Sheet for information regarding hazards and safe handling practices. General Resin Preparation Procedure1. Allow the ion exchange medium and ~10 columnvolumes (CV) of buffer to equilibrate to thetemperature chosen for the chromatographic run. 2. Mix the pre-swollen suspension with startingbuffer to form a moderately thick slurry, which consists of ~75% settled gel and 25% liquid. 3. Degas the gel under vacuum at the temperatureof column operation.4. Mount the column vertically on a suitable stand,out of the way of direct sunlight or drafts, which may cause temperature fluctuations.5. Pour a small amount of buffer into the emptycolumn. Allow the buffer to flow through spaces to eliminate air pockets.6. Pour the suspension of ion exchange mediumprepared in Step 3 into the column by allowing it to flow gently down the side of the tube, to avoid bubble formation.7. For consistent flow rates and reproducibleseparations, connect a pump to the column. 8. Fill the remainder of the column to the top withbuffer. Allow ~5 CV of buffer to drain through the bed at a flow rate at least 133% of the flow rate to be used in the procedure. The bed height should have settled to a constant height.9. Using a syringe or similar instrument, apply thesample dissolved in starting buffer to the column. For isocratic separations, the sample volumeshould range from 1-5% of the column volume. If the chromatographic run involves elution with a gradient, the applied sample mass is of much greater importance than the sample volume, and the sample should be applied in a low ionicstrength medium. Ion exchange is used both to concentrate and to fractionate the sample. 10. Elution:• If only unwanted substances in the sample areadsorbed, or if sample components aredifferentially retarded under isocratic conditions, the starting buffer can also be used as the eluent.The life science business of Merck operates as MilliporeSigma in the U.S. and Canada.Merck and Sigma-Aldrich are trademarks of Merck KGaA, Darmstadt, Germany or its affiliates. All other trademarks are the property of their respective owners. Detailed information on trademarks is available via publicly accessible resources.© 2022 Merck KGaA, Darmstadt, Germany and/or its affiliates. All Rights Reserved. Q1126pis Rev 01/22 JJJ,MAM,GCY2•Normally, however, separation and elution are achieved by selectively decreasing the affinity of the molecules for the charged groups on the resin by changing the pH and/or ionic strength of the eluent. This procedure is termed gradient elution. 11. Regeneration: •Either (a) washing the column with a high ionic strength salt solution, such as 1 M NaCl, or (b) changing the pH to the tolerable low and high pH extremes, is usually sufficient to remove reversibly bound material.• When needed, lipids and precipitated proteins canbe removed by washing with 1 CV of 1-2 M NaCl, followed by 1 CV of 0.1 M NaOH in 0.5 M NaCl. • Rinse with several CV of water. Thenre-equilibrate the resin with starting buffer.• If base such as NaOH was used, adjust the pH ofthe resin to neutral before storing or using.12. Storage: Q Sepharose ® Fast Flow may be storedat 2-8 °C in water with 20% ethanol added as an antibacterial agent.General NotesCation versus Anion Exchanger• If sample components are most stable below their pI values, a cation exchanger should be used. • If sample components are most stable above their pI values, an anion exchanger should be used. •If stability is good over a wide pH range on both sides of the pI, either or both types of ion exchanger may be used.Strong versus Weak Ion Exchanger•Most proteins have pI values within the range 5.5-7.5, and can thus be separated on both strong and weak ion exchangers.•When maximum resolution occurs at an extreme pH and the molecules of interest are stable at that pH, a strong ion exchanger should be used. Choice of Buffer, pH, and Ionic Strength• The highest ionic strength which permits binding should normally be used.•The required buffer concentration varies fromsubstance to substance. Usually, an ionic strength of at least 10 mM is required to ensure adequate buffering capacity.•As salts (such as buffers) help to stabilize proteins in solution, their concentration should be highenough to prevent denaturation and precipitation.References1. López, G. et al ., Eukaryot. Cell , 14(6), 564-577(2015).2. Bhargava, V. et al ., Dev. Cell., 52(1), 38-52.e10(2020).3. Fu , Yinan, “Structure and dynamics ofPseudomonas aeruginosa ICP”. University ofGlasgow, Ph.D. dissertation, p. 126 (April 2009). 4. Redmond, Miranda , “The Role of N-TerminalAcidic Inserts on the Dynamics of the Tau Protein ”. University of Vermont, Ph.D. dissertation, p. 22 (May 2017).5. Taylor-Whiteley, Teresa Rachel , “RecapitulatingParkinson’s disease pathology in athree-dimensional neural cell culture mode ”. Sheffield Hallam University, Ph.D. dissertation, p. 58 (September 2019).NoticeWe provide information and advice to our customers on application technologies and regulatory matters to the best of our knowledge and ability, but without obligation or liability. Existing laws and regulations are to be observed in all cases by our customers. This also applies in respect to any rights of third parties. Our information and advice do not relieve ourcustomers of their own responsibility for checking the suitability of our products for the envisaged purpose. The information in this document is subject to change without notice and should not be construed as acommitment by the manufacturing or selling entity, or an affiliate. We assume no responsibility for any errors that may appear in this document.Technical AssistanceVisit the tech service page at /techservice .Standard WarrantyThe applicable warranty for the products listed in this publication may be found at /terms .Contact InformationFor the location of the office nearest you, go to /offices .。

半导体专业词汇--汇总

半导体专业词汇--汇总

Lifting, peeling or flaking of the lead finish is rejectable excluding 0.2mm of the lead length from body. Any lead with dam bar step dimensions exceeding 0.1mm is rejectable. end plug (S) manager of XX department XX Electronics CO.Ltd X-ray yield X-ray X-ray inspection safety curtain safety stock safety glasses ammoniam water Press the emergency button. lot for lot lifted bond lifted wedge cavity plate,cavity block PPM (parts per million) Pareto chart plate mold semiconductor insufficient ball size off loader wrong orentation molding wrong orientation molding molding molding mold chase mold chase molding mismatch packing packing packing box packing defect criteria shipping box carrying cost carrying cost rate safety time holdup time shelf life scrap remark backside metal (Au/Ag) back side back marking chip package chips specific gravity specific gravity hydrometer closed loop MRP closing time bending side rail edge die reject die around slice edge side rail edge die Tape & Reel tape/real peel back force test braid flat cable,ribbon cable flat ball variation discoloration discolor(yellowish,blcken,water mark) discoloration/oxidation/lifting deformed

快递分拣和配送外文文献翻译最新译文

快递分拣和配送外文文献翻译最新译文

文献出处:Ferrucci F, Bock S. Real-time control of express pickup and delivery processes in a dynamic environment [J]. Transportation Research Part B: Methodological, 2014, 63: 1-14.原文Real-time control of express pickup and delivery processes in a dynamic environmentFrancesco Ferrucci ;Stefan Bock1. IntroductionDaily transportation services of express courier service companies are characterized by a highly dynamic environment in which the system situation frequently changes by the occurrence of various dynamic events. A key characteristic is that dynamically arriving requests have to be transported from pickup locations to delivery locations on the same day. Since it is highly desired that requests are fulfilled within given time windows, transportation activities are often carried out under high time pressure. Moreover, road networks are frequently congested and unreliable. Consequently, besides the arrival of new requests, traffic congestion and vehicle disturbances, i.e., slowdowns and breakdowns, have to be managed in real-time. Thanks to advances in information and communication technologies, information about dynamic events which is only available during the execution of the transportation service can now be utilized ( Larsen, 2000 and Giaglis et al., 2004). 1.1. ContributionsIn this paper, we propose a new real-time control approach for efficiently coordinating dynamic transportation services of express courier service companies. In order to provide practical decision support, this approach is based on an extended Dynamic Pickup and Delivery Problem (DPDP) that integrates various sources of dynamic events as well as several real-world aspects. We denote this new variant as the Dynamic Pickup and Delivery Problem with Real-Time Control (DPDPRC). It is specifically designed in order to efficiently control urgent real-world transportation services which are executed by express courier service companies. The main contributions of this paper are:•Consideration of various real-world aspects.The DPDPRC extends the DPDP by considering realistic aspects that are typical of the considered transportation services. Vehicles are heterogeneous in terms of capacity, personnel costs, travel speed, and route-dependent travel costs. Soft request time windows with variable lateness costs are integrated as well as legal driving time restrictions. The primary objective is to minimize lateness at request locations and the secondary objective is to minimize vehicle operating costs. Moreover, vehicles travel on a detailed real road network.•Dynamic environment comprising various types of dynamic events.Besides newly incoming requests, further dynamic events such as traffic congestion, vehicle slowdowns as well as vehicle breakdowns are integrated. The integration of these sources of dynamic events, which are common in real-world transportation services, ensures the practical applicability of the DPDPRC.•Real-time control and appropriate solution method.In the DPDPRC, transportation services are coordinated by a real-time control approach that handles the concurrency of tour plan execution and tour plan adaptation. In order to efficiently adapt the existing transportation plan according to the consequences of occurring dynamic events, a specifically designed Tabu Search approach is applied. Due to the resulting extended adaptability, many challenging scenarios with tight time windows and a large number of different types of dynamic events can be efficiently handled.• Generation of appropriate test instances.In order to evaluate the efficiency and practicability of the proposed approaches under different possible situations, various test scenarios with different types of dynamic events are generated. For this purpose, we propose new methods for generating problem instances of desired complexity. Furthermore, a new approach for simulating traffic congestion in road networks is introduced.The practicability of the proposed real-time control approach is evaluated by means of a comprehensive computational study.1.2. Literature reviewThe considered transportation services can be modeled as a variant of the Pickup and Delivery Problem (PDP) which is a generalization of the well-studied Vehicle Routing Problem (VRP, see Toth and Vigo, 2002 and Golden et al., 2008) and a special case of the General Pickup and Delivery Problem (GPDP, see Savelsbergh and Sol, 1995). Variants of PDPs have become a vital research area because of their practical relevance. A closely related problem that focuses on passenger transportation is the Dial-a-Ride Problem (DARP, see Cordeau and Laporte, 2007, Cordeau et al., 2007, Paquette et al., 2013 and Kirchler and Wolfler Calvo, 2013). In the DARP, additional driving constraints and convenience objectives are considered.In the literature, approaches for static PDPs are distinguished from dynamic concepts. In approaches for static PDPs it is assumed that the problem data is known in advance with certainty (see, e.g., Nanry and Wesley Barnes, 2000, Lu and Dessouky, 2004 and Bard and Jarrah, 2009). Hence, on account of the absence of dynamic events, no plan adaptation is necessary during the execution of the transportation service. In contrast, real-time concepts can handle unexpected changes of the system situation caused by dynamic events (see Ghiani et al., 2003, Mitrovic-Minic et al., 2004, Mitrovic-Minic and Laporte, 2004 and Fabri and Recht, 2006). With regard to the focus of this paper, only real-time approaches are described in what follows. An overview about dynamic PDPs can be found in Berbeglia et al. (2010).While most approaches consider the arrival of new requests, other sources of dynamic events are also considered in selected research work. Modeling of traffic congestion is considered in the work of Fleischmann et al., 2004, Attanasio et al., 2007, Barcelóet al., 2007, Haghani and Yang, 2007, Cortés et al., 2008 and Bock, 2010. Moreover, vehicle disturbances are considered in Li et al., 2009, Li et al., 2009, Bock, 2010 and Mu et al., 2010.Recently, there have been a number of approaches that use stochastic knowledge about expected future request arrivals. While most approaches deal with dynamic VRPs (see, e.g., Bent and van Hentenryck, 2004, Ichoua et al., 2006, Hvattum et al., 2006, Hvattum et al., 2007, van de Klundert and Wormer, 2010 and Ferrucci et al.,2013), there are also approaches for DPDPs. Relocation strategies are used to reposition idle vehicles to areas in which future requests are expected (see Powell, 1988, Attanasio et al., 2007 and Ghiani et al., 2009). In Yang et al. (2004), a reoptimization approach which directly uses stochastic knowledge about expected future requests in the request assignment is presented. Moreover, different methods of generating stochastic knowledge are proposed. In Attanasio et al. (2007), stochastic knowledge is derived from historical data using a time series decomposition approach. Sáez et al. (2008) integrate stochastic knowledge generated from historical data using a fuzzy clustering method.With regard to modeling vehicle movements, only few approaches make use of a road network (see Fleischmann et al., 2004 and Bock, 2010), while an integration of road class-dependent vehicle costs is missing. Another approach which can be advantageous is vehicle en-route diversion. Using en-route diversion, a new request, which arrives close to the remaining route that a vehicle is currently taking to its next request, can be directly serviced. However, only few DPDP approaches in the literature make use of this possibility (c.f., e.g., Attanasio et al., 2007 and Branchini et al., 2009).Another important aspect of real-time control approaches is the simultaneity of plan adaptation and plan execution activities. However, although this is a prerequisite for approaches modifying complex transportation services in real-time, it can only rarely be found (see, e.g., Gendreau et al., 1999 and Ichoua et al., 2000 for dynamic VRPs, and Bock (2010) for a substantially extended DPDP). In particular, in order to provide practical decision support for urgent real-world transportation services of express courier service companies, extended DPDP approaches that cover this aspect together with the integration of different sources of dynamic events are lacking.1.3. OrganizationThe remainder of this paper is organized as follows. Section 2 introduces the considered problem. Section 3 describes the proposed real-time control approach and characteristics of the static problem instances which are solved during the execution of the transportation service. Section 4 presents the Tabu Search metaheuristic that isused in order to solve static problem instances. In Section 5, generated test instances and computational results are presented. The paper closes with a summary and an outlook on future work in Section 6.2. Problem descriptionIn the considered daily transportation service of an express courier service company, a set of requests has to be serviced by a fleet of vehicles. Each request consists of a good which needs to be transported from one pickup location to one delivery location. Each request location has a time window during which service is desired. Time windows are soft at the end so that service is also allowed after the end of a time window but this generates undesired lateness. Service of a request prior to the opening of the time window is not possible due to customer restrictions. However, a vehicle may wait at a request location before the start of the time window at no penalty. For each request the corresponding good that has to be transported possesses a specific one-dimensional weight. Consequently, tour plans have to comply with capacity constraints of vehicles.Besides new requests that dynamically appear over time, the dynamic nature of the situation arises from traffic congestion, vehicle slowdowns, i.e., vehicles travel at reduced speed, and from vehicle breakdowns. Since no information about dynamic events is known in advance, they have to be handled in real-time. Note that the duration of traffic congestion and vehicle disturbances is unknown. Hence, these dynamic events may or may not be revoked during the execution of the transportation service. Furthermore, transshipment of requests is not permitted. However, if a vehicle breaks down, requests that have already been loaded onto this vehicle can be picked up by other vehicles at the breakdown location.The express courier service company does not own any vehicles but contracts with third parties. Each vehicle has one driver and no initial vehicle usage costs occur. Note that the number of available vehicles is limited. Since different types of vehicles (e.g., cars or small vans) are used by the third parties, vehicles are considered to be heterogeneous with regard to loading capacity, personnel costs, travel speed, and route-dependent travel costs. Once a vehicle has been dispatched, an attempt is madeat finding further requests for the vehicle. However, if this is not possible, the vehicle returns to the depot. The express courier service company pays the costs for traveling back to the depot for each of the booked vehicles. Hence, each vehicle starts and ends its tour at the same depot. Vehicle operating costs comprise route-dependent travel costs and personnel costs for each booked vehicle until it has returned to the depot. Vehicles travel on a real road network and always use the fastest routes between locations. En-route diversion of vehicles is allowed. This enables re-routing of vehicles to another location while traveling to their next assigned location. Furthermore, driver deployments need to follow legal restrictions on driving time.Since a timely delivery of express goods is of exceptional importance, a hierarchical objective function is applied. The primary objective is to minimize the total lateness for each customer request location which is measured in minutes. Note that an adequate modeling of lateness costs requires a suitable operationalization of consequences of lateness-induced customer inconvenience. In what follows, by using a constant cost factor for each minute of generated lateness, we assume a linear increase of customer inconvenience as empirically derived and validated by Davis and Maggard (1990). Moreover, it allows for a direct comparison of the total lateness incurred at customer locations. However, note that, as is the case with every lateness penalty function, this linear lateness penalization has application-dependent pros and cons. Specifically, some customers may benefit at the expense of other customers that are serviced later. Nevertheless, a linear penalization does not lead to distortion while pursuing a minimization of average lateness, as is the case when applying over-linear lateness penalty functions. As the secondary objective, the minimization of vehicle operating costs is pursued.译文动态环境中快递分拣的实时控制和配送过程弗朗西斯科·费鲁奇;斯蒂芬·波克1引言快递服务公司的日常快递运输服务,其特点是高度动态的环境系统,经常会因为各种动态事件发生变化。

adsee

adsee

adseeADSEE: An Advanced Approach to Advertisement Strategy and ExecutionIntroduction:In today's highly competitive business landscape, successful advertisement strategy and execution play a pivotal role in driving brand awareness, customer engagement, and ultimately, sales growth. With the rapid advancements in technology and the proliferation of digital marketing platforms, businesses need to adopt advanced approaches to ensure the effectiveness and efficiency of their advertising campaigns. ADSEE (Advanced Advertisement Strategy and Execution) is a groundbreaking methodology designed to optimize advertising efforts and yield maximum results. This document discusses the key components of ADSEE and its potential impact on businesses.Component 1: Market Analysis and Audience SegmentationADSEE begins with a comprehensive market analysis to understand the target market's needs, preferences, and behavior. By dissecting the market, businesses can identify key demographics and psychographics of their target audience. This information allows for effective audiencesegmentation, ensuring that advertisements are tailored to specific consumer groups. By targeting specific segments, businesses can create highly personalized and relevant advertisements, heightening the chances of engagement and conversion.Component 2: Data-Driven InsightsADSEE leverages the power of data to gain valuable insights into consumer behavior and preferences. By analyzing data from various sources, such as customer interaction, social media engagement, and website analytics, businesses can better understand their audience. These insights enable businesses to make data-driven decisions when developing advertisement strategies. By continuously collecting and analyzing data, businesses can refine and optimize their advertisements based on real-time feedback and results.Component 3: Creative Content DevelopmentADSEE recognizes the importance of captivating and impactful advertising content. It emphasizes the creation of visually appealing and emotionally engaging advertisements. This component focuses on designing compelling visuals, crafting persuasive copy, and incorporating storytelling elements to drive brand affinity and audience connection. ADSEE encourages businesses to experiment with variouscreative formats and mediums to keep their advertisements fresh, relevant, and memorable.Component 4: Multi-Channel AdvertisingIn today's digital era, ADSEE emphasizes the power of multi-channel advertising. It recognizes that consumers interact with brands across multiple platforms, including social media, search engines, mobile apps, and websites. ADSEE advocates for businesses to have a strong presence on various platforms and develop advertisements tailored to each channel's unique requirements. By reaching consumers through their preferred channels, businesses can maximize the impact of their advertisement campaigns.Component 5: A/B Testing and Campaign OptimizationADSEE believes in continuous improvement through rigorous testing and optimization. It encourages businesses to conduct A/B testing, where two versions of an advertisement are compared to determine the most effective approach. By measuring key performance indicators such as click-through rates, conversion rates, and customer engagement, businesses can fine-tune their advertisements for optimal results. ADSEE stresses the importance of being agile and adaptable, making data-backed adjustments throughout the campaign duration.Conclusion:ADSEE offers businesses a comprehensive and advanced approach to advertisement strategy and execution. By conducting thorough market analysis, leveraging data-driven insights, creating compelling content, adopting multi-channel advertising, and continuously optimizing campaigns, businesses can maximize the impact of their advertisements. ADSEE empowers businesses to connect with their target audience in a more meaningful and effective way, driving brand awareness, customer engagement, and ultimately, business success. With ADSEE, businesses can stay ahead of the competition and create advertising campaigns that leave a lasting impression on their audience.。

基于tsp问题的物流配送路径优化模型

基于tsp问题的物流配送路径优化模型

基于tsp问题的物流配送路径优化模型摘要:物流配送是直接与消费者相连的物流活动。

在各项物流成本中配送费用占了很大的比例,同时配送线路安排的合理与否对配送速度、成本、效益影响很大,因此采用科学、合理的方法来进行配送线路优化,是物流配送中非常重要的一项活动。

本文在此提出了基于tsp问题通过动态规划方法建立物流配送路径的优化模型,并通过相关实例用该模型的求解来验证。

关键词:配送费用tsp问题动态规划配送路径优化一、问题1.1TSP问题简介旅行商问题(Traveling Salesman Problem,简称TSP,亦称郎担问题)就是典型的组合优化问题。

它可以描述为:对于N个城市,它们之间的距离己知,有一旅行商要从某一城市出发走遍所有的城市,且每一个城市只能经过一次,最后回到出发城市,问如何选择路线可使他所走过的路程最短。

1.2问题描述我国物流发展一直存在一个很大的问题就是物流成本过高,2010年我国物流费用是西方发达国家的两倍,而其中运输费用占物流总费用的50%左右,所以有效减少运输成本是我国物流亟待解决的重要问题。

基于这样的物流发展现状,要减少运输费用,减少配送成本,以达到降低物流成本的目的,就必须实现配送车辆运输路线优化。

同时为了解决在配送人员完成送货后能及时返回,我们在本文中运用动态规划的方法就tsp问题,提出了适用于物流公司配送路线优化的模型,并通过实例求解验证,建立配送路线的优化方案。

二、国内外的研究对于物流配送路径优化一直是国外研究的重点,而我国由于近几年对物流成本的重视,许多的学者都对此进行了研究,他们研究的方向主要倾向于用智能算法来对配送路径进行优化。

J. Renaud, F.F.Boctor, and G. Laporte提出了改进的启发式算法进行路径优化,Tailand E对禁忌搜索算法用于车辆路径优化进行了研究,冯国莉、杨晓冬对用Hopfield神经网络车辆路径的优化进行了研究,王俊、郭婷婷基于改进蚁群算法的物流配送路径的研究,刘芳华、赵建、,朱信忠对基于改进遗传算法的物流配送路径优化的研究等许多的学者对此进行了研究。

2025届江苏省东台市创新学校英语高三上期末质量跟踪监视试题含解析

2025届江苏省东台市创新学校英语高三上期末质量跟踪监视试题含解析

2025届江苏省东台市创新学校英语高三上期末质量跟踪监视试题考生须知:1.全卷分选择题和非选择题两部分,全部在答题纸上作答。

选择题必须用2B铅笔填涂;非选择题的答案必须用黑色字迹的钢笔或答字笔写在“答题纸”相应位置上。

2.请用黑色字迹的钢笔或答字笔在“答题纸”上先填写姓名和准考证号。

3.保持卡面清洁,不要折叠,不要弄破、弄皱,在草稿纸、试题卷上答题无效。

第一部分(共20小题,每小题1.5分,满分30分)1.You don’t need an invitation to help others. Give help _____you are asked.A.if B.asC.though D.before2.This restaurant has become popular for its wide ______ of foods that suit all tastes and pockets.A.production B.offerC.range D.division3.The boy is having a fever. Y ou’d better damp a t owel and lay it ______ his forehead. A.across B.withinC.through D.beyond4.It’s second time in five days that he has asked me for higherpay.A.不填;a B.a;the C.the;a D.the;the5.I refuse to accept the blame for something ________ was someone else's fault. A.who B.thatC.as D.what6.—The lecture about 3D technology was very interesting.—It’s a pity. How I wish I ________ time to attend it.A.had B.have C.had had D.have had7.The driver could have survived but he the seat belt.A.had been wearing B.hadn't worn C.wasn’t wearing D.didn't wear 8.—What it be?—It be a man, for it is not moving. It be a dustbin, I think.A.can; may; must B.can; can’t; mustC.can; must; can D.may; may not; could9.---Where is the plane?I can't see it.---It went off its ________________ to keep away from the sudden storm.A.course B.roadC.flight D.direction10.—It______________to plant trees and grass on the hillside.—Yes. They help stop soil from being washed away.A.makes sense B.makes moneyC.makes a living D.makes a mistakes11.--- Where is your new home now?--- In the new developed zone. But I ______ downtown for five years.A.lived B.had livedC.have lived D.was living12. a single world can change the meaning of a sentence, a single sentence can change the meaning of a paragraph.A.Just as B.Even thoughC.Until D.Unless13.—Did Max go to the concert with his family yesterday?—The report scheduled to be handed in tomorrow, he _______ it.A.couldn’t have attended B.needn’t have attended C.wouldn’t attend D.shouldn’t attend14._____ gas prices are rising, people are looking for less expensive ways to get around. A.Now that B.Even ifC.Although D.Unless15.Contrary to popular belief, the ants, hardworking ________ they are, have their time for play.A.because B.while C.as D.where16.— I am so glad to find you at home. Can you do me a favor?— Sure. _______?A.Why not B.What’s upC.How come D.How is it going17.Jack decided to choose a different ________ and teach history through storytelling. A.analysis B.angle C.attitude D.approach18.By the end of last week,600 people from 50 countries to attend the meeting,with nearly half coming from the United States,Germany and Britain. A.had registered B.have registeredC.registered D.were registered19.School children must be taught how to deal with dangerous ________.A.states B.conditionsC.situations D.positions20.–Excuse me, sir, didn’t you see the red light?–Sorry, my mind ________ somewhere else.A.has been wandering B.was wanderedC.was wandering D.has been wandered第二部分阅读理解(满分40分)阅读下列短文,从每题所给的A、B、C、D四个选项中,选出最佳选项。

跨境电子商务英语--05-答案5.3

跨境电子商务英语--05-答案5.3

Part5.3 SEO &SEM MarketingWarming-up ActivitiesListening参考答案及译文:1. mobile译文:不是这个时代即将到来,而是已经到来了。

2.influential译文:将产品样品发给有影响力的公众人物,并请他们在网上发表评论,是一种新的营销方式。

3.creating译文:商店促销和营销不仅仅是创造一个信息给消费者看,或者花预算。

4.engines译文:值得注意的是,搜索引擎的搜索规则是不断变化的。

5.convey译文:我们希望我们的产品能够向我们的顾客传达一种自在和轻松的感受。

New Core VocabulariesTask1 Translate the following sentences into English, using the expressions in Brackets.参考答案1.Its success has surpassed all expectations.2.There is a brief introduction column about the company on the homepage.Task2 Match the English words in the left column with the English explanation in the right column.参考答案1. collaborative 2.conciseTask3 Match the English words in the left column with the English explanation in the right column.参考答案1.Decisions could be made on the basis of price, delivery dates, after-sales service or any other variable2.With PPC, you pay a certain cost per click to have an ad for your web page run at or near the top of the search engine listings for certain keywords.1. Complete the following sentences by translating the Chinese given in the brackets into English.参考答案1.possibly a poor page rank译文:杂乱的网站将导致低流量、高跳失率,可能会导致极差的网页排名。

物流管理英文含翻译

物流管理英文含翻译

development of efficientalgorithms.
FortheproblembyacademicresearchersandprofessionalsocietiesinOR/MS,resul
tinginanumberofpapersconcerningthedevelopmentofanumberofVehicleRouti
vehicle costand the total distance travelled by the vehicles, subjectto the
following constraints:
each vehicle has a predetermined load capacity, typically different from
suchapplications.Typically such systems serve as a central depot
fordistributing mon services in the field of logistics.The mercial application is
stored in a central serverand services are provided for each member of the
clients
(Tarantilis, Kiranoudis, & Vassiliadis, 2003, 2004).Therefore, the system was
designed in order to automatically generate vehicle routes (which vehicles
process. Whensuch a network is introduced in order to exploit amercial idea

基于遗传算法的路径优化问题研究

基于遗传算法的路径优化问题研究

基于遗传算法的路径优化问题研究作者:吕树红来源:《电脑知识与技术》2014年第02期摘要:近几年,物流配送业急速发展,配送任务密集而繁重,如何高效、合理的完成配送任务决定了一个企业的市场竞争力。

该文基于遗传算法设计了单一目标的路径优化方案,并将算法融入模块设计中,实现了基于Java的物流配送管理平台。

通过仿真测试,该方案在搜索效率和性能上都表现出较好的特性。

关键词:物流;配送;遗传算法;路径优化中图分类号:TP301 文献标识码:A 文章编号:1009-3044(2014)02-0288-04随着电子商务时代的到来,网络购物已成人们生活不可或缺的购物途径,动动鼠标足不出户就可以买到物美价廉的商品,这是电子商务最大的便捷性,也是其急速发展的重要因素,但鼠标不能代替车轮,产品要送到客户手中,必须从虚拟经济转为实际运输,因此物流配送的效率成为制约电子商务的发展的重要环节。

物流配送活动不受时间、地域的限制,配送任务复杂又琐碎。

作为一种经济活动,配送的成本始终备受企业关注,而影响配送成本的直接因素就是配送路程的长短,因此为了降低运营成本,管理者都在配送策略上寻找出口。

1 路径优化问题描述配送路径优化本着效率高、成本低、距离短、消耗小等原则。

这些原则使得路径选择受多元因素影响,但为了更有效的阐述路径优化方案,该文确定了“路径最短”的单一研究目标。

假设某次的配送活动中,有L个配送车辆、一个物流配送中心和I个配送的终端客户,要求合理安排车辆和配送路线,将货物从配送中心配送到终端客户,并使路径方案最优。

现实生活中的车辆调度和路径选择问题十分复杂,为了方便建模和求解,该文对研究的问题进行了抽象和简化。

现对本文研究的物流配送车辆调度问题做如下界定:货物统一从一个物流配送中心发往多个客户终端;配送中心和终端的位置固定并已知;多个包裹可以混放在一辆车中;同一个客户的配送总量不超过车辆的载重;每个客户的货物不允许分批配送;每台车辆的最大载重量固定,不许超载;每台车辆均从物流中心出发,配送后返回物流中心;客户无到货时间的限制;不考虑交通运输中的汽车流量限制。

置换流水车间调度问题的两阶段分布估计算法

置换流水车间调度问题的两阶段分布估计算法

置换流水车间调度问题的两阶段分布估计算法孙良旭;曲殿利;刘国莉【摘要】Aiming to solve the permutation flow shop scheduling problem, minimizing the total flow time as the objective function, it proposes a novel two-stage estimation of distribution algorithm. In the first stage, it firstly uses NEH (Nawaz-Enscore-Ham, NEH)heuristic to construct a relatively optimal initial individual, and then generates initial popu-lation randomly. To keep the diversities of the population, it puts forward a preferred mechanism to select individuals and establish the probability model, and at the same time, uses elite mechanism to keep the optimal individual in the contem-porary populations. Finally it uses probability model to sample and generate the next generation of population. In the second stage, it uses the insert and interchange operator to do neighborhood search around the optimal individual which is got in the first stage in order to improve the global search ability of estimation of distribution algorithm and prevent it from entrapping the local optimal. Through sufficient experiments, contrast and analysis for outcome of the examples, it proves the feasibility and effectiveness of the proposed algorithm.%针对置换流水车间调度问题,以最小化总流水时间为目标,提出了一种新颖的两阶段分布估计算法。

店面招租广告英语作文

店面招租广告英语作文

店面招租广告英语作文Attention! Amazing space for lease! Perfect for your next big venture. Located in the heart of downtown, this prime spot offers unparalleled visibility and foot traffic. With its modern facade and spacious interior, it's sure to catch the eye of passersby and draw them in. Don't miss out on this incredible opportunity to elevate your business to new heights!Calling all entrepreneurs! Ready to make your mark? This vacant storefront is your blank canvas, waiting to be transformed into the next hotspot. Whether you're dreaming of a cozy cafe, trendy boutique, or chic gallery, this versatile space has got you covered. The possibilities are endless – seize the chance to unleash your creativity and turn your vision into reality!Looking for a place to launch your passion project? Look no further! This available storefront is the ultimate launchpad for your entrepreneurial dreams. With its primelocation and flexible layout, it's the perfect place to bring your unique concept to life. From pop-up shops to experimental eateries, let your imagination run wild and make your mark on the bustling cityscape.Entrepreneurs, this one's for you! Say hello to your next business venture in the heart of downtown. With its high ceilings and ample natural light, this spacious storefront is begging to be transformed into something extraordinary. Whether you're starting from scratch or expanding your empire, this prime location is the perfect place to plant your roots and watch your business thrive.Attention, business owners! Looking to relocate or expand? Look no further than this prime storefront space in the heart of the city. With its unbeatable location and customizable layout, it's the perfect place to take your business to the next level. From boutique shops to trendy cafes, this versatile space is just waiting for your unique touch. Don't miss out on this opportunity to make a statement and stand out from the crowd!Entrepreneurial spirits, listen up! This vacant storefront is calling your name. Located in a bustling area with tons of foot traffic, it's the perfect place to launch your next big idea. Whether you're envisioning a cozy coffee shop or a trendy clothing boutique, this versatile space has everything you need to bring your vision to life. Don't let this opportunity slip through your fingers –seize the moment and make your mark on the cityscape!。

fast food英语作文

fast food英语作文

Fast food has become an integral part of modern society,offering convenience and quick sustenance for busy individuals.Here are some points to consider when discussing fast food in an English essay:1.Definition of Fast Food:Fast food refers to food that can be prepared and served quickly.It is typically characterized by its convenience,low cost,and standardized ingredients.2.Popularity and Accessibility:Fast food chains are ubiquitous in urban areas,making them easily accessible to the public.Their widespread presence is due to the demand for quick and affordable meals.3.Cultural Impact:Fast food has had a significant impact on global culture,influencing eating habits and food preferences around the world.It has also become a symbol of American culture and lifestyle.4.Health Concerns:One of the most debated aspects of fast food is its impact on health. Many fast food items are high in calories,fats,and sodium,which can contribute to obesity,heart disease,and other health issues.5.Economic Factors:Fast food is often seen as an affordable option for those on a tight budget.However,the longterm costs of consuming fast food due to health problems can outweigh the shortterm savings.6.Environmental Impact:The fast food industry has been criticized for its environmental impact,including the use of nonsustainable resources,contribution to food waste,and the carbon footprint of transportation and packaging.7.Innovations and Trends:Despite the criticisms,the fast food industry continues to innovate,offering healthier options and catering to dietary preferences such as vegetarian and vegan diets.8.Social Aspects:Fast food restaurants often serve as social gathering spots,especially for younger generations.They provide a casual and informal environment for meeting friends and family.9.Marketing Strategies:Fast food companies use various marketing strategies to attract customers,including advertising,promotions,and loyalty programs.These strategies often target children and adolescents,raising ethical concerns.10.Globalization:The expansion of fast food chains across the globe has led to the homogenization of food cultures,with local cuisines being influenced or even replaced by fast food options.11.Local vs.Global Chains:While global chains dominate the fast food market,local fast food businesses offer an alternative,often providing a taste of local culture and ingredients.12.Future of Fast Food:Discussions about the future of fast food often include predictions about trends such as automation,personalized meals,and a continued focus on health and sustainability.When writing an essay on fast food,its important to explore these themes in depth, providing examples and evidence to support your arguments.Remember to maintain a balanced view,acknowledging both the benefits and drawbacks of fast food in contemporary society.。

购买盲盒这种现象英语作文

购买盲盒这种现象英语作文

购买盲盒这种现象英语作文English:The phenomenon of purchasing blind boxes has been steadily growing in popularity in recent years, particularly among young people. Blind boxes are essentially mystery boxes containing random items or collectibles, where the buyer does not know what they will receive until they open the box. This element of surprise and excitement is a major draw for consumers, as it adds an element of fun and mystery to the shopping experience. Additionally, blind boxes often feature limited edition or exclusive items that cannot be purchased individually, making them even more desirable to collectors. The rise of social media and online influencers showcasing their blind box openings has further fueled the trend, creating a sense of FOMO (fear of missing out) among consumers who want to be a part of the excitement. While some critics argue that blind box purchases can be a waste of money and contribute to overconsumption, others see it as a harmless form of entertainment and a way to connect with like-minded individuals in the collector community. Ultimately, the popularity of blind boxes reflects a shiftin consumer behavior towards seeking unique and experiential shopping experiences in today's fast-paced and digital world.中文翻译:近年来,购买盲盒的现象在年轻人中逐渐流行起来。

学会购物技巧英语作文

学会购物技巧英语作文

学会购物技巧英语作文Title: Mastering Shopping Skills。

Shopping is an essential activity in our daily lives, and mastering the art of it can greatly enhance our experience and efficiency. In this essay, we will explore various shopping techniques and strategies to help you become a savvy shopper.First and foremost, it's crucial to plan ahead before embarking on a shopping trip. Make a list of the items you need to purchase, prioritizing the most important ones.This helps you stay focused and avoid impulse buys. Additionally, take note of any ongoing sales or promotionsto maximize savings.When browsing for items, compare prices from different stores or online retailers. Thanks to the internet, it's easier than ever to research prices and find the best deals. Keep in mind that sometimes the cheapest option may notalways be the best in terms of quality, so weigh your options carefully.Another valuable skill in shopping is the art of negotiation. In certain situations, such as at flea markets or when buying in bulk, bargaining can lead to significant discounts. Be polite but firm, and don't be afraid to walk away if the seller isn't willing to meet your price.Furthermore, it's important to be aware of hidden costs, such as shipping fees or additional taxes. Always read the fine print and calculate the total cost of your purchase before finalizing it. This prevents any unpleasantsurprises when you receive your bill.When shopping for clothing or other wearable items, pay attention to fit and fabric quality. It's better to investin a few high-quality pieces that will last longer than to buy cheap items that will wear out quickly. If possible,try on clothes before purchasing them to ensure theyflatter your body shape and are comfortable to wear.In today's digital age, online shopping has become increasingly popular. While it offers convenience and a wide selection of products, it also comes with its own set of challenges. To avoid scams or fraudulent websites, only shop from reputable online retailers with secure payment systems. Additionally, be cautious when sharing personal information online to protect yourself from identity theft.Another useful tip is to take advantage of loyalty programs or reward cards offered by retailers. These programs often provide discounts, coupons, or cashback rewards for frequent shoppers. By signing up for these programs, you can save money on future purchases and earn exclusive benefits.Lastly, don't underestimate the power of patience and restraint. It's easy to get caught up in the excitement of shopping and overspend on unnecessary items. Before making a purchase, ask yourself if you truly need the item or ifit's just a fleeting impulse. Delaying gratification and practicing self-control can lead to smarter spending habits and a healthier financial outlook.In conclusion, mastering shopping skills requires careful planning, research, and discipline. By following these tips and strategies, you can become a more savvy shopper and make the most out of your shopping experiences. Happy shopping!。

上游思维英语作文

上游思维英语作文

上游思维英语作文Upstream ThinkingIn today's fast-paced society, it is easy to get caught up in the hustle and bustle of daily life and forget to take a step back and think about the bigger picture. Upstream thinking is a concept that encourages individuals to consider the root causes of problems and to take proactive steps to address them before they escalate. This approach can be applied to a wide range of areas, including business, environmental conservation, and personal development. In this essay, we will explore the importance of upstream thinking and its potential impact on various aspects of life.Upstream thinking involves identifying and addressing the underlying causes of issues, rather than simply reacting to their immediate effects. This requires a shift in mindset, from a reactive to a proactive approach. For example, in the context of environmental conservation, upstream thinking may involve implementing policies and practices that prevent pollution at its source, rather than simply cleaning up the mess after it has occurred. In abusiness setting, upstream thinking may entail investing in employee training and development to prevent costly mistakes, rather than dealing with the consequences of subpar performance. By addressing problems at their source, upstream thinking has the potential to save time, resources, and effort in the long run.One of the key benefits of upstream thinking is its potential to create lasting change. By addressing the root causes of issues, rather than their symptoms, upstream thinking has the capacity to produce more sustainable and effective solutions. For instance, in the realm of public health, upstream thinking may involve investing in preventative measures such as education and access to healthcare, rather than simply treating the symptoms of diseases. This approach has the potential to improve the overall health and well-being of communities in a more meaningful and lasting way.Furthermore, upstream thinking encourages individuals to take a proactive and strategic approach to problem-solving. Rather than waiting for issues to arise and then scrambling to find a quick fix, upstream thinking encouragesindividuals to anticipate potential challenges and take steps to prevent them from occurring in the first place. This proactive mindset can lead to better decision-making, improved resource allocation, and overall greaterefficiency in addressing problems.In addition to its practical benefits, upstream thinking also fosters a more holistic and interconnected view of the world. By considering the root causes of issues,individuals are prompted to think beyond immediate concerns and consider the broader implications of their actions. This can lead to a greater awareness of the interconnectedness of various systems and a deeper understanding of the potential impact of individual and collective decisions.In conclusion, upstream thinking is a valuable concept that has the potential to create meaningful and sustainable change in a variety of contexts. By addressing the root causes of issues, taking a proactive approach to problem-solving, and fostering a more interconnected view of the world, upstream thinking has the capacity to improve theeffectiveness of solutions and create a more sustainableand resilient society.上游思维在当今快节奏的社会中,很容易被日常生活的忙碌所困扰,忘记退一步思考更大的问题。

去卖东西技巧英文作文

去卖东西技巧英文作文

去卖东西技巧英文作文英文回答:Tips for Successfully Selling Your Products。

1. Know Your Product and Audience。

Thoroughly research your product's features, benefits, and target market. Understanding your audience's needs and aspirations enables you to tailor your pitch effectively.2. Create High-Quality Content。

Produce compelling product descriptions, images, and videos that showcase the product's value and appeal. Use clear and concise language, highlighting key features and benefits.3. Establish a Strong Online Presence。

Create a website and social media profiles dedicated to your product. Utilize search engine optimization (SEO) techniques to make your website easily discoverable. Share valuable content, engage with potential customers, andbuild a community around your brand.4. Price Your Product Strategically。

带多软时间窗VRP及其禁忌搜索算法

带多软时间窗VRP及其禁忌搜索算法
谢九勇,符卓,邱萌,等 . 带多软时间窗 VRP 及其禁忌搜索算法 . 计算机工程与应用,2019,55(6):252-256. XIE Jiuyong, FU Zhuo, QIU Meng, et al. Tabu search algorithm for vehicle routing problem with multiple soft time windows. Computer Engineering and Applications, 2019, 55(6):252-256.
业 的 快 速 发 展 ,客 户 的 需 求 变 得 越 来 越 个 性 化 及 多 样 化,如客户对于货物送达时间窗的要求,除了单间窗 外,还有多时间窗,即允许送货的时间窗可以分布在一 天中的不同时段。若客户要求必须在多个时间窗之一 提供送货服务,则属于带多硬时间窗问题,一般就称为 带多时间窗的车辆路径问题(Vehicle Routing Problem with Multiple Time Windows,VRPMTW);若客户允许
1 引言
车辆路径问题(Vehicle Routing Problem,VRP)在 解决物流配送车辆行驶路线规划等实际问题中有广泛 的应用背景。该问题自 1959 年由 Dantzig 和 Ramser[1]提 出以来,受到了广泛关注。随着研究的深入,许多 VRP 拓展类型逐渐成为研究热点,如带时间窗 VRP[2-4]、需求 可拆分 VRP[5]和带取送货 VRP[6]等。同时随着物流配送
252 2019,55(6)
Computer Engineering and Applications 计算机工程与应用
带多软时间窗 VRP 及其禁忌搜索算法
谢九勇,符 卓,邱 萌,夏扬坤 中南大学 交通运输工程学院,长沙 410075

禁忌搜索

禁忌搜索

基于禁忌搜索算法的无等待流水车间问题求解戚海英,邱占芝(大连交通大学软件学院,辽宁大连116028)摘要:本文针对最小完工时间的无等待流水调度问题提出了一种禁忌搜索算法。

该算法首先利用调度规则构造较好的初始解,然后用禁忌搜索算法改进当前解。

在算法中采用了可达性的变邻域结构,使邻域规模小;而且对未被选中的候选解信息进行记忆,合理平衡了集中与分散搜索。

仿真结果证明该算法是有效的。

关键词:禁忌搜索;流水车间;变邻域;集中与分散搜索中图分类号:TP278Tabu search algorithms based on the no-wait Flow Shop problemsQI Haiying,Qiu Zhanzhi(Dept. of Software, Dalian Dalian jiaotong University 116028,China)Abstract: This paper presents a tabu search algorithm for solving the minimum makespan problem of Flow Shop scheduling. In the algorithm , the scheduling rule is used to create the initial solution and then the tabu search algorithm is applied to improve the last solution. The algorithm uses reachability varying neighborhood ,which is small scale ;but also Information of the unvisited candidate solutions is recollected, intensive search and dispersive search is reasonably balanced .Computer simulation experiments on the actual example show that the algorithm is applicable and effective.Keywords: tabu search ; Flow Shop ;varying neighborhood ;intensive and dispersive search0 引言无等待流水车间(no-wait Flow Shop)调度问题,也被称为同序作业调度问题,是许多实际流水线生产调度问题的简化模型,但它仍旧是一个非常复杂和困难的组合优化问题,目前对该问题的研究受到越来越多的关注。

禁忌搜索与固定变量结合的启发式算法求解UBQP

禁忌搜索与固定变量结合的启发式算法求解UBQP

禁忌搜索与固定变量结合的启发式算法求解UBQP王阳;苗克坚【期刊名称】《计算机应用研究》【年(卷),期】2011(028)001【摘要】提出了将固定变量与禁忌搜索结合的启发式算法来求解UBQP.此算法包含两个阶段:采用禁忌搜索得到一个参考解;根据该参考解固定或释放若干变量.选择固定变量还是释放变量由搜索的历史信息决定.此算法动态地在禁忌搜索与固定或释放变量这两个阶段之间交替进行,直到停机条件满足为止.用提出的算法对国际文献中公认的15个难算例进行实算测试,得到了全部测试算例的最优解.实验结果表明,该算法是求解UBQP的一个高效求解算法.%This paper proposed a tabu search algorithm with variable-based fixation to solve UBQP.The algorithm alternated between two phases: one was a basic tabu search procedure to optimize the objective function as far as possible, the other was to fix the values of some variables which might be compatible with the optimal solution or to loose a certain number of fixed variables when detected a stagnation behavior.The proposed algorithm was capable of finding the best-known solutions for 15 large random instances.Experimental results demonstrate the efficacy of the proposed algorithm in terms of both solution quality and computational efficiency.【总页数】3页(P131-133)【作者】王阳;苗克坚【作者单位】西北工业大学,计算机学院,西安,710072;西北工业大学,计算机学院,西安,710072【正文语种】中文【中图分类】TP301.6【相关文献】1.禁忌搜索与GA算法结合求解背包问题 [J], 白志鹏;陈福集2.基于禁忌搜索的启发式算法求解圆形packing问题 [J], 康雁;黄文奇3.基于禁忌搜索的启发式算法求解球体Packing问题 [J], 刘景发;周国城;潘锦基4.基于双重视角的MPPSP及其禁忌搜索启发式算法 [J], 何正文;任世科;柴国荣5.求解车间调度问题的双禁忌表禁忌搜索算法 [J], 刘胜辉;李小阳;张淑丽因版权原因,仅展示原文概要,查看原文内容请购买。

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where Cmax ( ) is the time required to complete all jobs on the machines in the processing order given by . For further considerations, we refer to the notions and notations taken from the papers [12–14]. It is well-known in the literature that the Cmax ( ) value can be found by the following expression: Cmax ( ) =
Available online at
Computers & Operations Research 31 (2004) 1891 – 1909
/locate/dsw
A very fast tabu search algorithm for the permutation ow shop problem with makespan criterion
1. Introduction The paper deals with the classic permutation ow-shop problem, which can be considered as a permanent indicator of the practical applicability of the scheduling theory. This problem is relatively simply formulated and successfully applied in industry, has a ÿnite but large number of solutions, it is unfortunately NP-hard. For this reason many various algorithms have been proposed and tested to solve the problem in a short time. Skipping the review of a large number of papers dealing with this problem, we only mention the most recent and representative ones [1–10]. This paper deals with properties and techniques, which allow us to solve ow-shop instances up to 500 jobs and 20 machines with high accuracy in a very short time. In order to reduce the computational e ort, we propose to employ some ideas presented in the paper [11] for the job-shop problem. The paper is organized as follows. In Section 2, the notations and basic deÿnitions are introduced. Section 3 presents the new properties of the problem, moves and neighbourhood structure, methods to evaluate the moves, search strategy, dynamic tabu list, perturbations, and algorithm based on tabu search approach. Computational results are shown in Section 4 and compared with those taken from the literature. Section 5 gives our conclusions and remarks.
2. Problem formulation and preliminaries The permutation ow-shop problem can be formulated as follows. Problem. Each of n jobs from the set J = {1; 2; : : : ; n} has to be processed on m machines 1; 2; : : : ; m in that order. Job j , j ∈ J , consists of a sequence of m operations Oj1 ; Oj2 ; : : : ; Ojm ; operation Ojk corresponds to the processing of job j on machine k during an uninterrupted processing time pjk . We want to ÿnd a schedule such that the processing order is the same on each machine and the maximum completion time is minimal. Each schedule of jobs can be represented by permutation = ( (1); : : : ; (n)) on set J . Let denote the set of all such permutations. We wish to ÿnd such permutation ∗ ∈ , that Cmax ( ∗ ) = min Cmax ( );
JÃ ozef Grabowskia ; ∗ , Mieczyslaw Wodeckib
a
Wroclaw University of Technology, Institute of Engineering Cybernetics, Janiszewskiego 11-17, 50-372 Wroclaw, Poland b University of Wroclaw, Institute of Computer Science, Przesmyckiego 20, 51-151 Wroclaw, Poland
Keywords: Flow-shop scheduling; Makespan; Heuristics; Tabu search

Corresponding author. Tel.: +48-71-320-27-45; fax: +48-71-21-26-77. E-mail addresses: grabow@ict.pwr.wroc.pl (J. Grabowski), mwd@ii.uni.wroc.pl (M. Wodecki).
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Abstract This paper deals with a classic ow-shop scheduling problem with makespan criterion. Some new properties of the problem associated with the blocks have been presented and discussed. These properties allow us to propose a new very fast local search procedure based on a tabu search approach. Computational experiments (up to 500 jobs and 20 machines) are given and compared with the results yielded by the best algorithms discussed in the literature. These results show that the algorithm proposed solves the ow-shop instances with high accuracy in a very short time. The presented properties and ideas can be applied in any local search procedures. Scope and purpose The permutation ow shop scheduling problem with makespan criterion is relatively simply formulated, but it is unfortunately a hard combinatorial problem. For this reason many various algorithms have been proposed and tested to solve the problem in a short time. This paper deals with the new properties and techniques, which allow one to construct a very e ciency algorithm based on a tabu search approach. In the algorithm, we propose to use the lower bounds on the makespans instead of computing the makespans explicitly, for selecting the best solution. Besides a dynamic tabu list is used that assists additionally to avoid trapped at a local optimum. Finally, the appropriate perturbations are introduced that guide the search to the more promising areas of solution space, where ”good solutions” can be found. All these components make that proposed algorithm solves the large-size ow shop instances with high accuracy in very short time. ? 2003 Elsevier Ltd. All rights reserved.
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