On optimal operating conditions for a data processing system: A stochastic approach |
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Authors: | Ji Hwan Cha Jie Mi |
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Institution: | 1. Division of Mathematical Sciences, Pukyong National University, Busan 608‐737, Korea;2. Department of Statistics, Florida International University, Miami, FL 33199, U.S.A. |
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Abstract: | In this paper, we consider the problem of determining optimal operating conditions for a data processing system. The system is burned‐in for a fixed burn‐in time before it is put into field operation and, in field operation, it has a work size and follows an age‐replacement policy. Assuming that the underlying lifetime distribution of the system has a bathtub‐shaped failure rate function, the properties of optimal burn‐in time, optimal work size and optimal age‐replacement policy will be derived. It can be seen that this model is a generalization of those considered in the previous works, and it yields a better optimal operating conditions. This paper presents an analytical method for three‐dimensional optimization problem. An algorithm for determining optimal operating conditions is also given. Copyright © 2007 John Wiley & Sons, Ltd. |
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Keywords: | burn‐in time work size age‐replacement policy optimal operating condition three‐dimensional optimization problem bathtub‐shaped failure rate upper bound |
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