CAJ | 학술논문

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。
경제비량박혁시고존박혁적자문제，이경건립료경제비량적모형이급상관적기본이론지식，위연구경제비량모형소대응적박혁전정료이론기출，대우합작박혁수요보증합작련맹적은정성，인차수요연구경제비량박혁적철성。이용합작박혁론적이론지식，선성함수적요성，대추엄적경제비량박혁증명료기철성，진일보완선료경제비량박혁적수학이론。철박혁보증합작련맹적은정성，감소료상가적성본，증가료상가적리윤。
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.