摘要
An optimal replacement model for gamma deteriorating systems is studied. This methodology uses a gamma distribution to model the material degradation, and the impact of imperfect maintenance actions on the system reliability is investigated. The state of a degrading system immediately after the imperfect maintenance action is assumed as a random variable and the maintenance time follows a geometric process. A maintenance policy （N） is applied by which the system will be repaired whenever it experiences Nth preventive maintenance （PM）, and an optimal policy （N＊） could be determined numerically or analytically for minimizing the long-run average cost per unit time. Finally, a numerical example is presented to demonstrate the use of this policy.
An optimal replacement model for gamma deteriorating systems is studied. This methodology uses a gamma distribution to model the material degradation, and the impact of imperfect maintenance actions on the system reliability is investigated. The state of a degrading system immediately after the imperfect maintenance action is assumed as a random variable and the maintenance time follows a geometric process. A maintenance policy （N） is applied by which the system will be repaired whenever it experiences Nth preventive maintenance （PM）, and an optimal policy （N＊） could be determined numerically or analytically for minimizing the long-run average cost per unit time. Finally, a numerical example is presented to demonstrate the use of this policy.
基金
supported by the National Natural Science Foundation of China (60904002)
作者简介
Corresponding author. Lin Tan was born in 1981. He is a Ph.D. and a lecturer at College of Humanities and Social Sciences, National University of Defense Technology. His research interests include performance reliability and maintenance decision. E-mail： tanlin_2010@ 126.comChiming Guo was bom in 1983. He is a Ph.D. candidate at School of Information System and Management, National University of Defense Technology. His research interests are condition based maintenance and safety analysis. E-mail： guochiming @ nudt.edu.cnZhijun Cheng was born in 1978. She is a Ph.D. and a lecturer at School of Information System and Management, National University of Defense Technology. Her research interests include main- tenance decision and supportability of system. E-mail： czj2002@ sina.comBo Guo was born in 1962. He is a professor at School of Information System and Management, National University of Defense Technology. His research interests include performance reliability, maintenance and supportability of system. E-mail： guobo62@ 126.com
