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

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  • Ji Hwan Cha
  • Jie Mi

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.

Suggested Citation

  • Ji Hwan Cha & Jie Mi, 2008. "On optimal operating conditions for a data processing system: A stochastic approach," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(1), pages 31-49, January.
  • Handle: RePEc:wly:apsmbi:v:24:y:2008:i:1:p:31-49
    DOI: 10.1002/asmb.691
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