考虑故障停机的生产控制与维修计划联合决策模型

doi:10.16381/j.cnki.issn1003-207x.2016.08.014

中国管理科学 ›› 2016, Vol. 24 ›› Issue (8): 116-122.doi: 10.16381/j.cnki.issn1003-207x.2016.08.014

考虑故障停机的生产控制与维修计划联合决策模型

郑睿¹, 吕文元²

1. 上海财经大学公共经济与管理学院, 上海 200433;
2. 上海理工大学管理学院, 上海 200093

收稿日期:2015-03-06 修回日期:2016-10-22 出版日期:2016-08-20 发布日期:2016-08-24
通讯作者: 郑睿(1971-),女(汉族),哈尔滨人,上海财经大学公共经济与管理学院,博士,讲师,研究方向:资产管理,E-mail:zrui888@263.net. E-mail:zrui888@263.net
基金资助:
国家自然科学基金资助项目（71471116，71071097）；上海市一流学科资助项目（S1201YLXK）；上海市浦江人才计划资助（14PJC077）

Modelling of Simultaneous Decision Making of Production Control and Maintenance Schedule in the Context of Failure Downtime

ZHENG Rui¹, LV Wen-yuan²

1. School of Public Economy and Management, Shanghai University of Finance & Economics, Shanghai 200433, China;
2. School of Business, University of Shanghai for Science & Technology, Shanghai 200093, China

Received:2015-03-06 Revised:2016-10-22 Online:2016-08-20 Published:2016-08-24

摘要/Abstract

摘要： 通过生产控制与维修计划协同决策，降低生产成本。首先描述生产过程，分析各项费用。其次，建立了考虑生产过程失控、故障率和故障停时间的生产过程控制、生产计划优化和维修管理联合优化决策的模型。通过模型求解，联合制定出生产过程检查策略、生产计划（经济生产批量、生产批次）以及维修计划（PM间隔期），实现单位时间内总费用最低的目标。再次，案例研究，分析生产过程失控、故障率和故障停机时间对于经济生产批量、生产过程检查策略和生产系统维修计划的影响。该模型从理论上解决了生产过程控制、生产计划优化和维修管理联合优化决策难题，对于指导企业制定生产计划和生产系统的检修计划，进而提高产品质量、降低生产成本、确保准时交货都具有指导意义和实用价值。

关键词: 经济生产批量, 预防维修, 生产控制, 维修计划

Abstract: The objective is to make simultaneous decision of the production control and maintenance schedule decreasing the product cost. Firstly, the production system is introduced, its production process is given, and all kinds of cost are listed. Secondly, a model is stabled considering the process deterioration rate, the failure rate of production system and failure downtime, simultaneously making decision of the production process control, production planning and maintenance schedule. The established model is used to determine the inspection number in a production run, the production planning including the determination of economic manufacturing quantity (EMQ), the optimal number of production runs, and the interval of preventive maintenance (PM), and further to realize the objective of minimization of the total cost per unit time. Thirdly, a case study is given, which illustrates those factors, such as the deterioration rate of process, failure rate and downtime occurred by failure, affect the decision of production planning, the inspection policy of process and the maintenance schedule. In a word, this established model not only theoretically guides how to simultaneously decision of the production process control, production planning and maintenance schedule, but also can guide enterprises to formulate the optimal production planning and maintenance schedule and further to improve product quality and to decrease production cost.

Key words: economic manufacturing quality (EMQ), preventive maintenance (PM), production control, maintenance schedule

中图分类号:

F273
TP301

郑睿, 吕文元. 考虑故障停机的生产控制与维修计划联合决策模型[J]. 中国管理科学, 2016, 24(8): 116-122.

ZHENG Rui, LV Wen-yuan. Modelling of Simultaneous Decision Making of Production Control and Maintenance Schedule in the Context of Failure Downtime[J]. Chinese Journal of Management Science, 2016, 24(8): 116-122.

参考文献

[1] 郑睿,吕文元. 自动生产线的同步维修模型及实例研究[J]. 中国管理科学,2011, 19(1):119-125.

[2] Barlow R E, Proschan F. Mathematical theory of reliability[M], New York: John Wiley and Sons, Inc., 1965.

[3] Dekker R. Applications of maintenance optimization models: a review and analysis[J]. Reliability Engineering and System Safety, 1996, 51(3): 229-240.

[4] Wang Hongzhou. A survey of maintenance policies of deteriorating systems[J]. European Journal of Operational Research, 2002,139(3): 469-489.

[5] 吕文元,郑睿.基于时间延迟的维修类型优化组合模型及案例分析[J]. 系统工程理论与实践, 2013,33(7):1654-1660.

[6] Ahmad R, Kamaruddin S. An overview of time-based and condition-based maintenance in industrial application[J]. Computers & Industrial Engineering, 2012,63(1): 135-149.

[7] Bouslah B, Gharbi A,Pellerin R. Joint optimal lot sizing and production control policy in an unreliable and imperfect manufacturing system[J]. International Journal of Production Economics,2013, 144(1):143-156.

[8] Widyadana G A, Wee H M. An economic production quantity model for deteriorating items with preventive maintenance policy and random machine breakdown[J],International Journal of Systems Science, 2012,43(10): 1870-1882.

[9] Rosenblatt M J, Lee H L. Economic production cycles with imperfect production processes[J]. IIE Transactions, 1986, 18(1): 48-55.

[10] Porteus E L. Optimal lot sizing, process quality improvement and setup cost reduction[J]. Operations Research, 1986, 34(1): 137-144.

[11] Lee H L, Rosenblatt M J. Simultaneous determination of production cycle and inspection schedules in a production systems[J]. Management Science, 1987, 33(9): 1125-1136.

[12] Lee J S, Park K S. Joint determination of production cycle and inspection intervals in a deteriorating production system[J]. Journal of the Operational Research Society, 1991, 42(9): 775-83.

[13] Kim C H, Hong Y, Chang S Y. Optimal production run length and inspection schedules in a deteriorating production process[J]. IIE Transactions, 2002, 33(5):421-426.

[14] Groenevelt H, Pintelon L, Seidmann A. Production batching with machine breakdowns and safety stocks[J]. Operations Research, 1992, 40(5): 959-971.

[15] Makis V, Fung J. An EMQ model with inspections and random machine failures[J]. The Journal of the Operational Research Society, 1998, 49(1): 66-76.

[16] Groenevelt H, Pintelon L, Seidmann A. Production lot sizing with machine breakdowns[J]. Management Science, 1992, 38(1):104-123.

[17] Makis V. Optimal lot sizing/preventive replacement policy for an EMQ model with minimal repairs[J]. International Journal of Logistics: Research and Applications, 1998, 1(2): 173-180.

[18] Makis V. Optimal lot sizing and inspection policy for an EMQ model with imperfect inspections[J]. Naval Research Logistics, 1998,45(2): 165-186.

[19] Giri B C, Dohi T. Exact formulation of stochastic EMQ model for an unreliable production systems[J]. The Journal of the Operational Research Society, 2005, 56 (5): 563-575.

[20] Chakraborty T, Giri B C, Chaudhuri K S. Production lot sizing with process deterioration and machine breakdown under inspection schedule[J]. Omega, 2009, 37(2): 257-271.

[21] 金垚, 仓婷, 潘尔顺,等. 基于田口质量损失函数和控制图设计的经济生产批量模型[J], 计算机集成制造系统, 2011,17(10):2224-2230.

[22] Chakraborty T, Giri B C. Joint determination of optimal safety stocks and production policy for an imperfect production system[J]. Applied Mathematical Modelling, 2012,36(2):712-722.

[23] Ross S M. 应用随机过程——概率模型导论[M]. 龚光鲁,译,10版,北京: 人民邮电出版社,2011: 327-333.

[24] 李松,刘力军,翟曼. 改进粒子群算法优化BP神经网络的短时交通流预测[J]. 系统工程理论与实践,2012,32(9):2045-2049.

考虑故障停机的生产控制与维修计划联合决策模型

Modelling of Simultaneous Decision Making of Production Control and Maintenance Schedule in the Context of Failure Downtime

PDF (PC)

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

Metrics

本文评价

推荐阅读 0

[1]	卢震, 徐健, 杨允锋. 考虑质量相关性需求与完全预防性维修的EPQ决策[J]. 中国管理科学, 2020, 28(5): 71-78.
[2]	郑睿, 吕文元. 基于时间延迟理论的预防维修模型及案例研究[J]. 中国管理科学, 2010, 18(2): 48-54.