带学习效应的双渠道供应链库存策略研究  

Study of Inventory Policy in a Dual-channel Supply Chain with Learning Effects

作　　者：柏庆国[1] 徐贤浩[1] 

机构地区：[1]华中科技大学管理学院,湖北武汉430074

出　　处：《中国管理科学》2015年第2期59-69,共11页Chinese Journal of Management Science

基　　金：国家自然科学基金重点资助项目(71131004);国家自然科学基金资助项目(71371107;71471071);山东省优秀中青年科学家科研奖励基金项目(BS2013SF016)

摘　　要：针对具有学习行为的双渠道供应链问题,本文研究了两种分销渠道并存下的最优库存策略。有限计划期内,分销商通过传统销售和在线销售来满足下游顾客的需求。两种分销渠道下的销售单价为时变不减线性函数,当系统中各周期的生产订购固定成本以一定的概率具有学习效应行为时,分别建立了非变质产品生产存贮问题的混合整数约束优化模型以及易变质产品存贮问题的无约束混合整数优化模型,所建立模型的目标为极大化分销商总利润函数。对于这两类模型,通过分析其最优解的性质,利用将生产订购次数松弛为连续变量的技巧证明了最优解存在的唯一性。给出了最优策略的求解方法并比较了两类模型最优利润函数值的大小。最后通过数值算例对上述模型进行了验证,数值结果表明当供应链系统中存在学习效应行为时,该系统能够获得更多的利润。The optimal inventory policy for a dual-channel supply chain problem with learning effects is considered in this paper.Distributor satisfies the downstream customer＇s demands of both traditional channel and internet channel in a finite planning horizon.The sell price of each channel is assumed to be a non-decreasing linear function of time.When learning effect of fixed set-up cost is incorporated into a supply chain system with a constant probability,a mixed-integer constraint optimization model for non-perishable items and a unconstrained optimization model for perishable items are established.The objectives of two models are maximizing the total profits.By analyzing the optimal properties for each model,it is proved that the optimal inventory policy is unique by using the technique of relaxing the number of replenishments to continuous variable.In addition,the solving method of the optimal inventory policy for each model is proposed and both of these models are compared.Finally,some numerical examples are provided to illustrate above theoretical models and the numerical results also show that more profit can be obtained when learning effect is incorporated into the supply chain system.

关 键 词：供应链 学习效应 双渠道 最优策略 

分 类 号：F253[经济管理—国民经济] O227[理学—运筹学与控制论]