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论文在时变供需环境下,即市场需求为斜坡式时间函数及补货率依赖于市场需求情境下,探讨了基于商业信用的供应链中零售商最优订货策略。首先,根据商业信用期和零售商补货周期的关系,分两种情形构建了零售商库存模型;其次,根据零售商的库存模型,证明了其最优解的存在,并给出相关的命题和算法来求解零售商的最优库存策略;最后,通过数值算例和灵敏度分析来论证文中的有关结论。研究发现:当供应商给予零售商的商业信用期较短时,此时市场需求仍处于增长期,随着市场需求稳定时间点的增大,零售商的最优订货周期逐渐减小,最优订货量和年费用也逐渐减小;当供应商给予零售商的商业信用期较长时,此时市场需求已趋于稳定期,随着市场需求稳定时间点的增大,零售商的最优订货周期逐渐增大,最优订货量和年费用也逐渐增大;当供应商生产与市场需求依赖性逐渐增大时,零售商的最优订货周期逐渐增大,最优订货量及年费用也逐渐增大。
Under the circumstance of time-varying supply and demand environment, that is, the market demand is the ramp-time function and the replenishment rate depends on the market demand, the paper discusses the optimal ordering strategy of retailers in the supply chain based on commercial credit. First, according to the relationship between the commercial credit period and retailer replenishment cycle, the retailer inventory model is constructed in two cases. Secondly, according to the retailer’s inventory model, the existence of the optimal solution is proved and the related propositions are given And algorithm to solve the retailer’s optimal inventory strategy. Finally, the numerical conclusions and sensitivity analysis are used to demonstrate the relevant conclusions of the paper. The research finds that when the commercial credit period given by the supplier to the retailer is short, the market demand is still growing at this time. As the market demand stabilizes, the optimal ordering period of the retailer decreases gradually, Order quantity and annual fee also gradually reduced; when the supplier gives the retailer a longer commercial credit period, the market demand has stabilized at this time, as the market demand stabilizes, the retailer’s optimal Order cycle gradually increased, the optimal order quantity and annual cost also gradually increased; when the dependence of supplier production and market demand gradually increased, the optimal ordering cycle of retailers gradually increased, the optimal order quantity and annual cost Also gradually increased.