不同零售商在相同时期需求不同的经济批量博弈

摘要

The inventory games include economic lot-sizing game, at present, the related basic theory knowledge of the economic lot-sizing problem and the model had been established, as well as the foundation of the economic lot-sizing game, for the cooperative game we need to ensure the stability of the league, so we re-search the the convexity of an economic Lot-sizing Game. Using the knowledge of the cooperative game and the concavity of the linear function. Proving the the convexity of Economic Lot-sizing Game with back-logging.%经济批量博弈是库存博弈的子问题，已经建立了经济批量的模型以及相关的基本理论知识，为研究经济批量模型所对应的博弈奠定了理论基础，对于合作博弈需要保证合作联盟的稳定性，因此需要研究经济批量博弈的凸性。利用合作博弈论的理论知识，线性函数的凹性，对推广的经济批量博弈证明了其凸性，进一步完善了经济批量博弈的数学理论。凸博弈保证合作联盟的稳定性，减少了商家的成本，增加了商家的利润。