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J4 ›› 2012, Vol. 47 ›› Issue (9): 116-120.

• 数学 • 上一篇    下一篇

寿命服从伽马分布的退化系统的最优订货更换策略

成国庆1,李玲1,唐应辉2,柳炳祥1   

  1. 1.景德镇陶瓷学院信息工程学院, 江西 景德镇 333403;
    2.四川师范大学数学与软件科学学院, 四川 成都 610066
  • 收稿日期:2012-04-09 出版日期:2012-09-20 发布日期:2012-09-24
  • 作者简介:成国庆(1982- ),男,讲师,硕士,研究方向为可靠性维修工程. Email: cgq686@163.com
  • 基金资助:

    国家自然科学基金资助项目(71171138);国家科技支撑计划项目(2012BAH25F02);江西省教育厅青年科学基金资助项目(GJJ12507)

Optimal ordering and replacement policy for a deteriorating system with Gamma distributed life time

CHENG Guo-qing1, LI Ling1, TANG Ying-hui2, LIU Bing-xiang1   

  1. 1. School of Information Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China;
    2. School of Mathematics & Soft Ware Science, Sichuan Normal University, Chengdu 610066, Sichuan, China
  • Received:2012-04-09 Online:2012-09-20 Published:2012-09-24

摘要:

 在可修退化系统中引入提前订货机制,将系统订货时刻M作为决策变量,与系统更换时刻N形成二维联合策略(N,M)。在假设系统寿命服从伽马分布、补货提前期服从指数分布的条件下,利用更新过程理论求得系统平均费用率表达式,进而研究了最优的二维联合策略以使系统的平均费用率最小。通过算例给出最优策略的数值解,并对相关参数作了敏感度分析。

关键词: 退化系统;伽马分布;订货提前期;更换策略

Abstract:

 A deteriorating repairable system with stochastic lead time is proposed. An ordering policy M and a replacement policy N based on the number of system failures form twodimension policy(N,M). The aim is to find out the optimal policy such that the average cost rate of the system is minimized. Assuming that the system life time follows Gamma distribution and the stochastic lead time follows an exponential distribution, an explicit expression of average cost rate was given by using renewal process. A numerical example was provides to illustrate the proposed model, and the sensitivities for the optimal policy with respect to parameters also analyzed.
 

Key words: deteriorating system; Gamma distribution; lead time; replacement policy

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