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A standby system with two types of repair persons

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  • Bruno Bieth
  • Liang Hong
  • Jyotirmoy Sarkar

Abstract

A continuously monitored one‐unit system, backed by an identical standby unit, is perfectly repaired by an in‐house repair person, if achievable within a random or deterministic patience time (DPT), or else by a visiting expert, who repairs one or all failed units before leaving. We study four models in terms of the limiting availability and limiting profit per unit time, using semi‐Markov processes, when all distributions are exponential. We show that a DPT is preferable to a random patience time, and we characterize conditions under which the expert should repair multiple failed units (rather than only one failed unit) during each visit. We also extend the method when life‐ and repair times are non‐exponential. Copyright © 2009 John Wiley & Sons, Ltd.

Suggested Citation

  • Bruno Bieth & Liang Hong & Jyotirmoy Sarkar, 2010. "A standby system with two types of repair persons," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(5), pages 577-594, September.
    • Handle: RePEc:wly:apsmbi:v:26:y:2010:i:5:p:577-594
    DOI: 10.1002/asmb.801
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    Cited by:

    1. Vahid Andalib & Jyotirmoy Sarkar, 2022. "A System with Two Spare Units, Two Repair Facilities, and Two Types of Repairers," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
    2. Zhang Xin & Ding Zhaopeng & Liu Yanxia, 2021. "Reliability Analysis of Supply Chain System with the Multi-Suppliers and Single Demander," Journal of Systems Science and Information, De Gruyter, vol. 9(2), pages 192-202, April.

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