Optimal age-replacement time with minimal repair based on cumulative repair-cost limit for a system subject to shocks |
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Authors: | Shey-Huei Sheu Chin-Chih Chang Yu-Hung Chien |
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Institution: | 1.Department of Statistics and Informatics Science,Providence University,Taichung,Taiwan;2.Department of Industrial Management,National Taiwan University of Science and Technology,Taipei,Taiwan;3.Department of Applied Statistics,National Taichung Institute of Technology,Taichung,Taiwan |
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Abstract: | An operating system is subject to random shocks that arrive according to a non-homogeneous Poisson process and cause the system
failed. System failures experience to be divided into two categories: a type-I failure (minor), rectified by a minimal repair;
or a type-II failure (catastrophic) that calls for a replacement. An age-replacement model is studied by considering both
a cumulative repair-cost limit and a system’s entire repair-cost history. Under such a policy, the system is replaced at age
T, or at the k-th type-I failure at which the accumulated repair cost exceeds the pre-determined limit, or at any type-II failure, whichever
occurs first. The object of this article is to study analytically the minimum-cost replacement policy for showing its existence,
uniqueness, and the structural properties. The proposed model provides a general framework for analyzing the maintenance policies,
and presents several numerical examples for illustration purposes. |
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Keywords: | |
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