时变需求等量进货情形下集成供应链生产订货策略研究

doi:10.12005/orms.2021.0287

运筹与管理 ›› 2021, Vol. 30 ›› Issue (9): 107-112.DOI: 10.12005/orms.2021.0287

时变需求等量进货情形下集成供应链生产订货策略研究

孙广磊¹, 李小申², 尚有林^1,2

1.河南科技大学信息工程学院,河南洛阳 471023;
2.河南科技大学数学与统计学院,河南洛阳 471023

收稿日期:2019-05-28 出版日期:2021-09-25
通讯作者: 李小申(1964-),男,河南平舆人,教授,博士,研究方向:运筹学与控制论。
作者简介:孙广磊(1992-),男,河南开封人,博士研究生,研究方向:系统工程;尚有林(1963-),男,河南洛阳人,教授,博士生导师,研究方向:运筹学与控制论、系统科学与工程。
基金资助:
国家自然科学基金资助项目(12071112,11471102);河南省高等学校重点科研项目计划基础研究专项(20ZX001)

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

SUN Guang-lei¹, LI Xiao-shen², SHANG You-lin^1,2

1. School of Information Engineering, Henan University of Science and Technology, Luoyang 471000, China;
2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471000, China

Received:2019-05-28 Online:2021-09-25

摘要/Abstract

摘要： 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。

关键词: 集成供应链, 时变需求, 生产订货策略, 最短路问题

Abstract: 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.

Key words: supply chain, time varying demand, optimal operations strategy, the shortest path problem

中图分类号:

孙广磊, 李小申, 尚有林. 时变需求等量进货情形下集成供应链生产订货策略研究[J]. 运筹与管理, 2021, 30(9): 107-112.

SUN Guang-lei, LI Xiao-shen, SHANG You-lin. Optimal Operations Strategy for an Integrated Supply Chain with Time Varying Demand and Equal Quantity Orders[J]. Operations Research and Management Science, 2021, 30(9): 107-112.

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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

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