基于产品保修的不可靠生产系统最优生产周期

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (2): 479-483.

基于产品保修的不可靠生产系统最优生产周期

胡飞^1,2, 宗群²

1. 天津大学数学系, 天津, 300072;
2. 天津大学自动化学院, 天津, 300072

收稿日期:2007-11-14 修回日期:2008-01-18 出版日期:2009-02-20 发布日期:2010-01-03
作者简介:胡飞(1977- ),男,博士研究生,主要研究方向为系统故障与系统可靠性分析.E-mail:hfzdzy@126.com
基金资助:
国家自然科学基金资助课题(60574055)

Optimal production run length for an unreliable production system based on product warranty policy

HU Fei^1,2, ZONG Qun²

1. Dept. of Mathmatics, Tianjin Univ., Tianjin 300072, China;
2. School of Electrical Engineering & Automation, Tianjin Univ., Tianjin 300072, China

Received:2007-11-14 Revised:2008-01-18 Online:2009-02-20 Published:2010-01-03

摘要/Abstract

摘要： 不可靠生产系统会随机从可控制状态进入不可控制状态或随机发生故障,其产品在保修期内发生故障后,需免费小修.生产系统从零时刻持续生产到时刻t时,或在时间(0,t]内首次发生故障时,则一个生产周期结束.基于每个生产周期内单位产品的成本率最低,在不同条件下讨论了最优生产周期t^*的存在性、范围及关于模型中参数的单调性.最后用数字实例说明了模型中的参数变化对生产周期内的决策变量和目标函数的影响.

Abstract: An unreliable production system is liable to turn the in-control state into the out-of-control state or lie failure randomly,in which its products are undertaked to give free minor repairs in the warranty perioid.The production cycle is over when the production system runs continuously until the fixed time t from zero time or the first failure occurs within(0,t].The optimal production run length which minimizes the cost of the unit item in every cycle is discussed.Under different conditions,the existence,bounds and monotonicity regarding the model parameters on the optimal production run length are discussed.Finally,numerical examples are carried out to show the effects of the model parameters' changes on the decision variable and objective function in a production cycle.

中图分类号:

F283

胡飞, 宗群. 基于产品保修的不可靠生产系统最优生产周期[J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 479-483.

HU Fei, ZONG Qun. Optimal production run length for an unreliable production system based on product warranty policy[J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 479-483.

参考文献

[1] Groenevelt H,Pintelon L,Seidmann A.Production lot sizing with machine breakdown[J].Management Science,1992,38(1):104-123.
[2] Girl B C,Dohi T.Exact formulation of stochastic EMQ model for an unreliable production system[J].Journal of the Operational Research Society,2005,56(5):563-75.
[3] Boukas E K,Liu Z K.Manufacturing systems with random breakdowns and deteriorating items[J].Automatica,2001,37(3):401-408.
[4] Rosenblatt W J,Lee H L.Economic production cycles with imperfect production processes[J].IIIE T-ransaction,1986,18(1):48-55.
[5] Lee H L,Rosenhlatt M J.Simultaneous determin-ation of production cycle and inspection schedules in a production system[J].Management Sciences,1987,33(9):1125-1136.
[6] Singa W C,Ting C K,Chiu Y S P.Optimal production lot sizing with rework,scrap rate,and service level constraint[J].Mathematical and Com-puter Modelling,2007,46(3-4):535-549.
[7] Blischke W R,Murthy D N P.Warranty cost anal-ysis[M].New York:Marcel Dekker,1994.
[8] Jack N,Murthy D N P,Iskandar B P.Comments on "maintenance policies with two-dimensional warranty'[J].Reliability Engineering and System Safety,2003,82(1):105-109.
[9] Djamaludin I,Murthy D N P,Wilson R J.Quality control through lot sizing for items sold with warranty[J].International Journal of Production and Economi-cs,1994,33(1-3):97-107.
[10] Yeh R H,Ho W T,Tseng S T.Optimal producti-on run length for products sold with warranty[J].Eur-opean Journal of Operational Research,2000,120(3):575-582.
[11] Wang C H.The impact of a free-repair warranty policy on EMQ model for imperfect production syst-ems[J].Computers＆ Operations Research,2004,31(12):2021-2035.
[12] Chen C K,Lo C C.Optimal production run leng-th for products sold with warranty in an imperfect pro-duetion system with allowable shortages[J].Mathema-tical and Computer Modeling,2006,44(3-4):319-331.
[13] Girl B C,Dohi T.Inspection scheduling for imperfect production processes under free repair warranty contract[J].European Journal of Operational Research,2007,183(1):238-252.