两种权重效用利润函数下的供应链合同分析

通过引进加法权重效用利润函数和乘法权重效用利润函数概念,分别讨论了批发价合同、回购合同、收入分享合同、数量弹性合同、销售回扣合同和数量折扣合同等6种经典合同在两种权重效用利润意义下的供应链的协调性问题.通过分析供应链两种权重效用利润函数的极值,讨论了供应商和销售商权重取值范围与供应链合同协调性之间的关系,并分析了权重值的变化对权重效用利润的影响.同时,指出合同的协调性与市场供需情况之间的对应关系,以及某些合同不能协调供应链的原因.

Analysis on Supply Chain Contracts Under Two Kinds of Weighted Utility Profit Functions

In this paper,six classic contracts including wholesale price contract,buyback contract,revenue-sharing contract,quantity-flexibility contract,sales-rebate contract,quantity discount contract on supply chain coordination problem are discussed under additive utility profit function and multiplicative utility profit function respectively.By the analysis of extreme values of two kinds of weighted utility profit functions on supply chain,the relationship is revealed between the coordination about supply chain contracts and the range of supplier′s or retailer′s weights,and the effects on the weighted utility profits arising from the change of retailer′s or supplier′s weighted values are deduced.Furthermore,the relationship between the coordination about supply chain contracts and the supply-demand balance of market is pointed out.And the reasons of non-coordination about some supply contract are analyzed.