Optimum random and age replacement policies for customer-demand multi-state system reliability under imperfect maintenance

Yen-Luan Chen, Chin-Chih Chang and Dwan-Fang Sheu

International Journal of Systems Science, 2016, vol. 47, issue 5, 1130-1141

Abstract: This paper proposes the generalised random and age replacement policies for a multi-state system composed of multi-state elements. The degradation of the multi-state element is assumed to follow the non-homogeneous continuous time Markov process which is a continuous time and discrete state process. A recursive approach is presented to efficiently compute the time-dependent state probability distribution of the multi-state element. The state and performance distribution of the entire multi-state system is evaluated via the combination of the stochastic process and the Lz-transform method. The concept of customer-centred reliability measure is developed based on the system performance and the customer demand. We develop the random and age replacement policies for an aging multi-state system subject to imperfect maintenance in a failure (or unacceptable) state. For each policy, the optimum replacement schedule which minimises the mean cost rate is derived analytically and discussed numerically.

Date: 2016
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DOI: 10.1080/00207721.2014.915353

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