时变需求等量进货情形下集成供应链生产订货策略研究

Optimal Operations Strategy for an Integrated Supply Chain with Time Varying Demand and Equal Quantity Orders

构建了一个包含原料采购、生产和销售过程的集成供应链模型,研究了由原料、生产商和销售商产品构成的三层库存系统的生产订货问题。在有限的规划期内,销售商每次进货量相同,生产商按照EOQ模型采购原材料。以最小化供应链系统的总运营成本为目标,构建一个混合整数非线性规划模型,寻找销售商最优订货方案和生产商最佳生产策略。首先利用网络优化方法求解生产商的最优生产计划,其次利用定界穷举法寻求销售商最优的订货周期,给出了具体的计算方法和Matlab程序。通过算例分析验证了算法的有效性,并研究了各参数对最小费用及最优解的影响。

This research addresses a production-orderproblem in an integrated supply chain,which consists of raw material procurement,production and distribution with time varying demand,and establishes a three echelons inventory system including raw material warehouse’s material,manufacture’s finished product and retailer’s product.During a given finite planning horizon,the retailer has the same quantity of goods each time,and the manufacturer purchases raw materials according to the EOQ model.A strategy that determines optimal program of retailer’s ordering,production start times and production volumes is designed to minimize the total cost for a given finite planning horizon.A network optimization method is used to obtain the manufacturer’s optimal production strategy,a bound and exhaustive method to find the retailer’s optimal order cycle,and specific algorithms and programs of Matlab are given.The model is analyzed through examples,and the results show that algorithms are feasible.The influence of each parameter on the optimal solution and the minimum cost is studied.