Journal of Systems Science and Complexity

, Volume 31, Issue 3, pp 804–819 | Cite as

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

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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.

Keywords

Likelihood ratio order majorization proportional hazards schur-convex Stochastic order 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of Mathematical SciencesStevens Institute of TechnologyHobokenUSA
  2. 2.School of Mathematics and StatisticsJiangsu Normal UniversityXuzhouChina

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