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On optimal operating conditions for a data processing system: A stochastic approach

Ji Hwan Cha and Jie Mi

Applied Stochastic Models in Business and Industry, 2008, vol. 24, issue 1, 31-49

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.

Date: 2008
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https://doi.org/10.1002/asmb.691

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