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Cooperative game theory and optimization in collaborative logistics : a study of coalition structures and cost allocation methods

机译:合作博弈中的合作博弈理论与优化:联盟结构与成本分配方法研究

摘要

Collaboration among different agents is an effective way to improve logistic operations.When companies transport items of similar assortments withinthesame regions,there arehigh potential of efficiency improvements. Large volumes and long distances,incombination withincreasing fuel prices and environmental concern, enhancetheimportanceof exploiting synergies between companies.Inthecontext of collaboration, twoessentialquestions arise: (1) Whichcoalitions can be expected to form? (2) How shouldthecompanies allocatetheachieved benefits?We aim to find optimal solutions for both questions by formulating linear programmingmodels using OperationsResearch. We addressthefirst question by finding howthecompanies should groupinorder to achievethehighest savings,both fromasocial plannerpoint of view and fromtheindividual company’s point of view. Assumingthatoptimalcoalitionstructures are identified,thenext question concerns howthemembersinacoalitionshould distributethecostsavings.There are numerous of acknowledgedallocationmethodsaiming to find a fair solution to this question. Weinvestigate five different methods, and findstriking resultsinterms of disparities betweentheallocations. For one company,therelativesaving achieved ranges from 2.96% to 18.75% depending on which method we implement.We alsodiscuss fundamental questionsconsideringtheaspect of fairnessinthedifferentallocationmethods.When approaching the question from the perspective of each company, wecombineconceptsofthe different allocation methods and construct a new model to find optimalcoalition structures.Based on different assumptions regarding the behavior of companies,the model provides twosets of coalition structures.
机译:不同代理商之间的协作是改善物流运作的有效途径。当公司在同一地区运输相似种类的物品时,效率提升的潜力很大。大批量,长途运输,燃油价格上涨和对环境的关注结合在一起,增强了公司之间利用协同增效的重要性。在合作的背景下,出现了两个基本问题:(1)可以期望形成哪种联盟? (2)公司应如何分配获得的收益?我们的目标是通过使用OperationsResearch制定线性规划模型来找到两个问题的最佳解决方案。从社会计划者的角度和个人公司的角度出发,我们通过找到公司应如何分组以实现最高节省的方式来解决第一个问题。假设确定了最佳联盟结构,那么下一个问题就是联盟成员应如何分配节省的成本。有很多公认的分配方法可以找到一个公平的解决方案。我们研究了五种不同的方法,并找到了分配结果之间差异的惊人结果。对于一家公司,根据我们采用哪种方法,可实现的节省率从2.96%到18.75%不等。我们还讨论了关于不同分配方法的公平性的基本问题。从每家公司的角度来探讨该问题时,我们会结合概念,采用不同的分配方法,并构建一种新的模型来寻找最优分配该模型基于关于公司行为的不同假设,提供了两组联合结构。

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