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Compensation and profit distribution for cooperative green pickup and delivery problem

机译:合作绿色取送问题的补偿与利润分配

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Cooperation is a powerful strategy to achieve the objective of the green pickup and delivery problem (GPDP) that minimizes carbon emissions of pickup and delivery service. However, the cooperative GPDP may not be accepted by all the partners, as the cost of cooperative GPDP may be higher than that of the non-cooperative minimum cost POP. Therefore, a reasonable compensation mechanism is desired to form an acceptable cooperative GPDP, and a fair method of profit distribution, based on the mechanism, is needed to stabilize the cooperation. In this paper, we analyze the situations in which a compensation is needed and develop the lower bound of the compensation. Further, we propose an exact method to calculate the actual compensation and the profit distribution based on cooperative game theory. The proposed exact method can efficiently solve the largest scale instance in Li amp; Lim benchmarks, i.e., pdptw1000-LR1_10_1 with 1,054 customers and 19,306 products. The proposed compensation and profit distribution mechanism based on cooperative game theory is also applied to a real-world GPDP and achieve satisfactory performance. Some interesting and important managerial insights are found and discussed. (C) 2018 Elsevier Ltd. All rights reserved.
机译:合作是实现绿色取货和送货问题(GPDP)目标的有力战略,可最大限度地减少取货和送货服务的碳排放。但是,合作 GPDP 可能不会被所有合作伙伴接受,因为合作 GPDP 的成本可能高于非合作最低成本 POP。因此,需要一种合理的补偿机制来形成一个可接受的合作GPDP,并且需要一种基于该机制的公平利润分配方法来稳定合作。在本文中,我们分析了需要补偿的情况,并制定了补偿的下限。此外,提出了一种基于合作博弈论的精确计算实际报酬和利润分配的方法。所提出的精确方法可以有效地求解Li&Lim基准测试中规模最大的实例,即pdptw1000-LR1_10_1,有1,054个客户和19,306个产品。所提出的基于合作博弈论的薪酬和利润分配机制也应用于现实世界的GPDP,并取得了令人满意的绩效。发现并讨论了一些有趣且重要的管理见解。(C) 2018 爱思唯尔有限公司保留所有权利。

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