基于服务水平约束的可控提前期批量敏感的两级库存优化模型

中国机械工程 ›› 2010, Vol. 21 ›› Issue (21): 2595-2602.

基于服务水平约束的可控提前期批量敏感的两级库存优化模型

丑文亚1;单汨源1;李果2

1.湖南大学，长沙，410082 2.北京理工大学，北京，100081

出版日期:2010-11-10 发布日期:2010-11-12
基金资助:
国家高技术研究发展计划(863计划)资助项目(2006AA04Z153)；国家自然科学基金资助项目(70971036，70672040)
National High-tech R&D Program of China (863 Program) （No. 2006AA04Z153）;
National Natural Science Foundation of China（No. 70971036，70672040）

Two-Echelon Inventory Model with Service Level Constraint and Controllable Lead Time Sensitive to Order Quantity

Chou Wenya1;Shan Miyuan1;Li Guo2

1.Hunan University, Changsha, 410082

2.Beijing Institute of Technology, Beijing, 100081

Online:2010-11-10 Published:2010-11-12
Supported by:

National High-tech R&D Program of China (863 Program) （No. 2006AA04Z153）;
National Natural Science Foundation of China（No. 70971036，70672040）

摘要/Abstract

摘要：

研究了基于服务水平约束的提前期内需求分布函数未知和可控提前期对订货批量敏感条件下的两级库存优化问题。首先建立了该问题的基本模型，在相关分析基础上采用Minimax方法将原问题的求解进行了有效转化，进而分析了服务水平约束对订货批量决策和生产批量决策的影响，给出了最优订货批量和生产批量解的范围。根据最优订货批量和生产批量解的范围，给出了转化后问题的求解算法和步骤。在数例分析中，应用上述方法求出了两级库存的最优解，并分析了服务水平和安全因子对两级库存最优值的影响和作用。结果显示，在服务水平和安全因子的双重约束下，两级库存成本最优值受服务水平和安全因子两者中设置要求较高者的约束。

关键词:

服务水平约束, 安全因子, 可控提前期, 批量敏感, 两级库存

Abstract:

Two-echelon inventory problem with service level constraint and unknown distribution function was analyzed when controllable lead time was sensitive to order quantity. First the basic model of this problem was established and based on relevant analyses the original problem could be changed by Minimax method. Then the optimal order quantity and production quantity influenced by service level constraint were analyzed and range of optimal order quantity and production quantity were given. According to this range, an effective method and tactics were put forward to solve the changed problem. In case analysis, the optimal two-echelon inventory can be obtained and it was analyzed how service level constraint and safety factor influence the optimal two-echelon inventory. The case results show that with the service level constraint and safety factor, the optimal two-echelon inventory is constrained by the higher constraint between service level constraint and safety factor. 

Key words: service level constraint, safety factor, controllable lead time, sensitive to order quantity, two-echelon inventory

中图分类号:

F273.7

丑文亚, 单汨源, 李果.

基于服务水平约束的可控提前期批量敏感的两级库存优化模型

[J]. 中国机械工程, 2010, 21(21): 2595-2602.

CHOU Wen-E, CHAN Mi-Yuan, LI Guan.

Two-Echelon Inventory Model with Service Level Constraint and Controllable Lead Time Sensitive to Order Quantity

[J]. China Mechanical Engineering, 2010, 21(21): 2595-2602.

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