Optimal maintenance decisions for gamma deteriorating systems  

作　　者：Lin Tan Chiming Guo Zhijun Cheng Bo Guo 

机构地区：[1]Department of Human Sciences, College of Humanities and Social Sciences, National University of Defense Technology, Changsha 410074, P. R. China [2]Department of Systems Engineering, College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第5期788-793,共6页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (60904002)

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.

关 键 词：maintenance policy gamma process geometrical process deteriorating system imperfect maintenance. 

分 类 号：O226[理学—运筹学与控制论] TP311.13[理学—数学]