基于排队论的两阶段生产系统看板数量优化

doi:10.3969/j.issn.1007-7375.e16-3242

工业工程 ›› 2017, Vol. 20 ›› Issue (1): 71-76.doi: 10.3969/j.issn.1007-7375.e16-3242

基于排队论的两阶段生产系统看板数量优化

蔺宇, 李雅娇, 史英杰

天津大学管理与经济学部, 天津 300072

收稿日期:2016-09-03 出版日期:2017-02-28 发布日期:2017-03-13
作者简介:蔺宇(1975-),男,天津市人,副教授,博士,主要研究方向为工业工程、精益生产与设计.

Optimizing the Number of Kanbans for Two-stage Production System Based on Queuing Theory

LIN Yu, LI Yajiao, SHI Yingjie

School of Management and Economy, Tianjin University, Tianjin 300072, China

Received:2016-09-03 Online:2017-02-28 Published:2017-03-13

摘要/Abstract

摘要： 过量堆积的在制品占用大量空间、降低企业资金周转率，造成企业成本增加。为解决企业普遍存在的该问题并实际应用看板系统策略，重点研究在两阶段生产系统中工序间看板最优数量的确定方法。结合企业实际运作情况，考虑产品缺货成本、在制品库存持有成本、机器生产成本以及机器闲置成本在内的生产系统单位时间总成本，识别系统运行中的马尔科夫过程并应用排队理论构建成本模型，最终得到两工序之间的最优看板数量。算例分析说明了该模型的可行性和有效性。敏感性分析表明，看板数量较少时，对单位产品的缺货成本和持有成本参数的敏感度更高。另外，最优看板数量也随后工序生产速率增加而增加。

关键词: 看板系统, 在制品库存, 排队论, 看板数量

Abstract: Excess inventories not only take up a lot of space, but also reduce the capital turnover, increasing the cost of enterprises. To solve the problem, Kanban system is proposed firstly. Then a method of determining the optimal number of Kanbans in two-stage production system is developed on this basis. Considering the actual situation, with the shortage cost, work in process cost, machine production cost and cost of idle machines all combined, the Markov process is identified and queuing theory used to build the model of optimal per-unit-time cost to obtain the optimal number of Kanbans. Then, a case is studied to demonstrate the feasibility and effectiveness of our model. Sensitivity analysis shows that, when the number of Kanbans is small, it is more sensitive to the parameters of the shortage cost and work in process cost. In addition, the optimal number of Kanbans increases as the rate of the latter production process increases.

Key words: Kanban system, WIP, queuing theory, number of kanbans

中图分类号:

F224

蔺宇, 李雅娇, 史英杰. 基于排队论的两阶段生产系统看板数量优化[J]. 工业工程, 2017, 20(1): 71-76.

LIN Yu, LI Yajiao, SHI Yingjie. Optimizing the Number of Kanbans for Two-stage Production System Based on Queuing Theory[J]. Industrial Engineering Journal , 2017, 20(1): 71-76.

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基于排队论的两阶段生产系统看板数量优化

Optimizing the Number of Kanbans for Two-stage Production System Based on Queuing Theory

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