条件延期付款下一体化可控提前期模型研究

Study on the Integrated Inventory Model With Controllable Lead Time Under Conditionally Permissible Delay in Payments

在一体化决策的供应链中,假设提前期与提前期成本服从幂函数关系,生产商允许零售商延期付款,但需要在订货时预付部分货款。首先,在延迟付款期给定时,通过建立该问题的数学模型,证明了不考虑决策变量整数约束时,系统存在唯一最优生产量、提前期和生产商每个生产周期内的运输批次,使得供应链总成本最小,并设计求解算法对问题进行了求解。以此为基础,假设延迟付款期是零售商订货量的增函数,结合模型的解析性质,给出了新的求解算法。最后通过数值算例和敏感性分析,说明了所得结论及其管理启示。

In an integrated decision making supply chain,the controllable lead time model is studied with the assumption that the lead time crashing cost is a power function of the lead time.A predetermined trade credit period is offered to the retailer by the manufacturer,with a partial payment required whenever the order is placing.Firstly,by establishing proper mathematical model,a proposition is proved to describe the optimal solution（production quantity,lead time and shipment times per production run from the manufacturer to the retailer）to minimize the total cost of supply chain without considering integer constraint of the decision variable.A solution procedure is provided,so that the decisions can be made easily.Secondly,an order-size-dependent trade credit model is presented,and a new algorithm is furnished to find the optimal decisions considering the properties of the model.Finally,numerical examples and sensitivity analysis are given to illustrate the solution procedures and management implications of the proposed model.