A Stochastic Model on One-Unit Repairable Systems with Multiple Degenerative States

Xiaohu Li, Weiyong Ding

Research output: Contribution to journalArticlepeer-review

Abstract

This paper studies a maintenance model for an one-unit degenerative system with multiple failure states based on the proportional hazards and proportional reversed hazards models. The authors investigate how the variation of system configuration parameters have an impact on both operating and repair times and hence the system performance. Furthermore, the authors also derive the explicit expression for the long-run average cost per unit time. An algorithm to locate the optimal number of repairs in a renewal cycle is discussed as well.

Original languageEnglish
Pages (from-to)804-819
Number of pages16
JournalJournal of Systems Science and Complexity
Volume31
Issue number3
DOIs
StatePublished - 1 Jun 2018

Keywords

  • Likelihood ratio order
  • Stochastic order
  • majorization
  • proportional hazards
  • schur-convex

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