航空学报 > 2002, Vol. 23 Issue (4): 334-337

战略储备系统备件最优储备量计算的解析方法

周江华1,2, 肖刚2, 苗育红2   

  1. 1. 西安交通大学系统工程研究所 陕西西安 710049;2. 第二炮兵工程学院603 教研室 陕西西安 710025
  • 收稿日期:2001-04-09 修回日期:2002-04-16 出版日期:2002-08-25 发布日期:2002-08-25

ANALYTICAL METHOD FOR CALCULATING THE OPTIMUM SPARE-PART QUANTITIES OF STRATEGIC STORAGE SYSTEM

ZHOU Jiang-hua1,2, XIAO Gang2, MIAO Yu-hong2   

  1. 1. Institute of Systems Engineering, Xi'an Jiaotong University, Xi'an 710049, China;2. Faculty 603, The Second Artillery Engineering College, Xi'an 710025, China
  • Received:2001-04-09 Revised:2002-04-16 Online:2002-08-25 Published:2002-08-25

摘要:

首先简要介绍了战略储备系统及其寿命过程。然后从分析系统的寿命过程入手,将其寿命过程分为两个阶段,每个阶段分别用一连续时间马尔可夫链来描述系统的动态过程,在此基础上给出了战略储备系统最优战略储备量计算的解析方法,并针对不可修的情况给出了简化的计算公式。

关键词: 可靠性, 优化, 马尔可夫链, 备件, 冗余系统

Abstract:

The problem of optimum spare parts quantities of Strategic Storage System (n:k(S)) is first introduced by the Second Artillery Army of PLA for their needs. A major challenge of this problem is that the aging process of n:k(S) is quite different from and more complex than ordinary redundant systems. In this paper, the aging process of n:k(S) is split into two stages. Each stage is modeled by a continuous time Markov chain. An analytical method based on such Markov chain models is provided for calculating the optimum spare parts quantities of n:k(S) under reliability restriction. Moreover, a simple and efficient formula is presented to deal with unrepairable n:k(S). The present work can be used as guidance in the spare part supply planning of n:k(S).

Key words: reliabilit y, optimization, Markov chain, spare part, redundant system