Optimum preventive maintenance policies maximizing the mean time to the first system failure for a two-unit standby redundant system |
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| Authors: | T Nakagawa S Osaki |
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| Institution: | (1) Department of Industrial Engineering and Operations Research, Syracuse University, Syracuse, New York;(2) Present address: Department of Mathematics, Meijo University, Nagoya, Japan;(3) Department of Electrical Engineering, University of Southern California, Los Angeles, California;(4) Present address: Department of Industrial Engineering, Hiroshima University, Hiroshima, Japan |
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| Abstract: | A two-unit standby redundant system with repair and preventive maintenance is considered under the following assumptions: (I) the inspection of an operative unit is made only if the other unit is in standby; and (II) an operative unit, which forfeited inspection due to assumption (I), undergoes inspection just upon repair completion of the failed unit (or inspection completion). We derive the Laplace-Stieltjes transform of the cumulative distribution function of the time to the first system failure and the mean time to the first system failure. Further, we obtain the necessary and sufficient conditions for an optimum preventive maintenance policy to exist with respect to the mean time to the first system failure. More importantly, under certain conditions, we find the analytical form of an optimum inspection time maximizing the mean time to the first system failure. A numerical example is presented.The work reported in this article was supported by the National Institutes of Health under Grant No. GM-16197-05. The authors would like to express their appreciation to Professor D. L. Jaquette and Professor R. Vasudevan, University of Southern California, for their advice and encouragement. |
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| Keywords: | Operations research stochastic problems system modeling optimal strategies |
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