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

Ji Hwan Cha, Jie Mi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish
Pages (from-to)31-49
Number of pages19
JournalApplied Stochastic Models in Business and Industry
Volume24
Issue number1
DOIs
StatePublished - Jan 2008

Keywords

  • Age-replacement policy
  • Bathtub-shaped failure rate
  • Burn-in time
  • Optimal operating condition
  • Three-dimensional optimization problem
  • Upper bound
  • Work size

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