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A bivariate optimal replacement policy for a repairable system

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Yuan Lin Zhang
Yuan Lin Zhang*
Affiliation:
Southeast University, Nanjing
*
∗Postal address: Department of Mathematics and Mechanics, Southeast University, Nanjing 210018, People's Republic of China.
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Abstract

In this paper, a repairable system consisting of one unit and a single repairman is studied. Assume that the system after repair is not as good as new. Under this assumption, a bivariate replacement policy (T, N), where T is the working age and N is the number of failures of the system is studied. The problem is to determine the optimal replacement policy (T, N)∗such that the long-run average cost per unit time is minimized. The explicit expression of the long-run average cost per unit time is derived, and the corresponding optimal replacement policy can be determined analytically or numerically. Finally, under some conditions, we show that the policy (T, N)∗ is better than policies N∗ or T∗.

Keywords

GEOMETRIC PROCESSRENEWAL PROCESSRENEWAL CYCLERENEWAL REWARD THEOREMCONVOLUTION

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 31 , Issue 4 , December 1994 , pp. 1123 - 1127
Copyright
Copyright © Applied Probability Trust 1994 

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