基于合作博弈的易腐性产品运输设施选择的费用分配

Cost Allocation for Transporuation Facility Choice of Perishable Products Based on Cooperative Game

易腐性产品的价值会随着时间而损失,运输易腐性产品时,客户除了支付运输费用外还需要承担产品的价值损失。本文把易腐性产品的价值损失和运输费用之和作为总费用,应用合作博弈理论,把易腐性产品的运输设施选择的费用分配问题构造成费用分配博弈,证明了在易腐性产品线性价值损失的情况下,运输设施选择博弈的核心非空,且为子模博弈,并讨论核仁、夏普利值、τ-值等解。论文最后讨论了有约束运输的设施选择的费用分配博弈的解的情况,说明其核心也许为空,并提出了进一步研究的方向。

The value of perishable products decaying when are transported. In this paper, the transporta- tion cost and decay value are considered, the cost allocation problem of perishable products is formulated as the cost allocation game for choosing transportation facility. It is proved that the cost allocation game has a non-empty core and also submodular at case of linear decay function. Some solutions as nucleolus, Shapley value, τ-value are discussed. Lastly the cost allocation game with constraints is discussed, in which the core may be empty. Further research areas are presented.