考虑顾客信用的两层部分商业信用策略下易变质品的库存模型

Research on Inventory Model of Deteriorating Items Based on Two-level Partial Trade Credit with Customer Credit

文章基于两层部分商业信用和顾客信用等级策略构建易变质品的库存模型,研究固定变质率下的零售商最优订货策略。模型假设供应商要求零售商采取提前支付、现金支付和延期支付三种支付方式的混合支付模式,同时,零售商依据顾客信用的差异实施带有区别的商业信用策略。零售商对信用等级高的顾客给予全额的延期支付,要求信用等级低的顾客采取提前支付和现金支付模式。文章证明了最优解的存在性和唯一性,并给出了一系列定理。最后,通过数值算例分析证明了模型的有效性,并对主要参数进行了灵敏度分析以获得管理上的启示。

The paper develops an inventory model for deteriorating items based on two-level partial trade credit and customer credit rating,and discusses the retailer's optimal ordering strategy with fixed deterioration rate which fits a more general inventory feature.The model assumes the supplier requires the retailer to take mixed payment mode(prepayment,cash payment and permissible delay in payments),and at the same time,the retailer implements differentiated trade credit strategy based on customer credit.The retailer allows delay in all payments for good credit customers and requires prepayments and cash payment for bad credit customers.The paper derives the existence and uniqueness conditions of the optimal solution of the model,and develops a set of theorems to determine the optimal solutions.Finally,a numerical example is presented to illustrate the proposed strategy and optimal solutions,and a sensitivity analysis is performed for changes in the main parameters to obtain relevant findings on managerial implication.