基于延迟几何过程的可修劣化系统最优更换策略

doi:10.3969/j.issn.1001-506X.2011.11.20

Journal of Systems Engineering and Electronics ›› 2011, Vol. 33 ›› Issue (11): 2449-2452.doi: 10.3969/j.issn.1001-506X.2011.11.20

基于延迟几何过程的可修劣化系统最优更换策略

黄傲林^1,2, 李庆民¹, 阮旻智¹, 毛德军¹

1. 海军工程大学兵器系, 湖北武汉 430033； 2. 海军工程大学电子工程学院, 湖北武汉 430033

出版日期:2011-11-25 发布日期:2010-01-03

Optimal replacement policies for degenerative repairable systems based on delayed geometric process

HUANG Ao-lin^1,2, LI Qing-min¹, RUAN Min-zhi¹, MAO De-jun¹

1. Department of Weaponry Engineering, Naval University of Engineering, Wuhan 430033, China; 2. College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China

Online:2011-11-25 Published:2010-01-03

摘要/Abstract

摘要：

研究了可修劣化系统的更换策略,对劣化系统建模常用的几何过程加以改进,提出了延迟几何过程的概念,认为系统维修后以概率p恢复至前一修复状态,而以概率q发生劣化。选择系统的故障次数N为更换策略,利用延迟几何过程建立了系统长期运行的平均费用率模型,并给出了系统最优更换策略的解析表达。最后给出了数值算例并将结果和基于传统几何过程的更换策略进行了比较,验证了该方法的合理性。

Abstract:

A delayed geometric process is proposed after studying the general geometric process methods used in replacement policies modeling for degenerative repairable systems. A system is supposed to be returned to the “as good as former” state with probability p and returned to the “worse” state with probability q. The average cost rate of the system is given under policy N based on the delayed geometric process, and the optimal replacement policy is derived. Numerical examples are also used to validate the replacement policy after comparison with that under the general geometric process.

中图分类号:

O 175.3

黄傲林, 李庆民, 阮旻智, 毛德军. 基于延迟几何过程的可修劣化系统最优更换策略[J]. Journal of Systems Engineering and Electronics, 2011, 33(11): 2449-2452.

HUANG Ao-lin, LI Qing-min, RUAN Min-zhi, MAO De-jun. Optimal replacement policies for degenerative repairable systems based on delayed geometric process[J]. Journal of Systems Engineering and Electronics, 2011, 33(11): 2449-2452.

基于延迟几何过程的可修劣化系统最优更换策略

Optimal replacement policies for degenerative repairable systems based on delayed geometric process

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