Reliability and Sensitivity Analyses of an Unreliable Retrial Machine Repair System with Warm Standby Switching Failure

Kuo Hsiung Wang, Tseng Chang Yen, Chia Huang Wu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this study, an unreliable machine repair system with warm standby switching failure and retrial behavior is examined. An application of the Ceph storage cluster system is described to illustrate the applicability of the proposed model and establish its results. To analyze the reliability of the application system, two-state-transition rate diagrams and their associated differential-difference equations are provided. Laplace transforms and the matrix-analytical method are employed to obtain the steady-state probabilities. Explicit expressions for the reliability function, mean time to failure, and steady-state availability of the examined system are then derived. With these system performance measures, we perform a sensitivity analysis of the system parameters to identify critical variables. Furthermore, the numerical results for various parameter settings are tabulated and presented graphically. Finally, managerial insights and constructive results are provided as a guide for managers in determining an effective strategy for performance enhancement.

Original languageEnglish
Article number2141008
JournalInternational Journal of Reliability, Quality and Safety Engineering
Volume29
Issue number4
DOIs
StatePublished - 1 Aug 2022

Keywords

  • Availability
  • mean time to failure
  • reliability
  • retrial machine repair system
  • sensitivity analysis
  • switching failure

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