Optimal age-replacement model with age-dependent type of failure and random lead time based on a cumulative repair-cost limit policy |
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Authors: | Yu-Hung Chien Chin-Chih Chang Shey-Huei Sheu |
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Institution: | 1.Department of Applied Statistics,National Taichung Institute of Technology,Taichung City,Taiwan;2.Department of Statistics and Informatics Science,Providence University,Taichung,Taiwan |
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Abstract: | In this paper, we consider an age-replacement model with minimal repair based on a cumulative repair cost limit and random
lead time for replacement delivery. A cumulative repair cost limit policy uses information about a system’s entire repair
cost history to decide whether the system is repaired or replaced; a random lead time models delay in delivery of a replacement
once it is ordered. A general cost model is developed for the average cost per unit time based on the stochastic behavior
of the assumed system, reflecting the costs of both storing a spare and of system downtime. The optimal age for preventive
replacement minimizing that cost rate is derived, its existence and uniqueness is shown, and structural properties are presented.
Various special cases are included, and a numerical example is given for illustration. Because the framework and analysis
are general, the proposed model extends several existing results. |
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Keywords: | |
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