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A two‐machine repair model with variable repair rate

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  • F. A. Van Der Duyn Schouten
  • P. Wartenhorst

Abstract

A two‐unit cold standby production system with one repairman is considered. After inspection of a failed unit the repairman chooses either a slow or a fast repair rate to carry out the corresponding amount of work. At system breakdown the repairman has an additional opportunity to switch to the fast rate. If there are no fixed costs associated with system breakdowns, then the policy which minimizes longrun average costs is shown to be a two‐dimensional control limit rule. If fixed costs are incurred every time the system breaks down, then the optimal policy is not necessarily of control limit type. This is illustrated by a counterexample. Furthermore, we present several performance measures for this maintenance system controlled by a two‐dimensional control limit rule. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • F. A. Van Der Duyn Schouten & P. Wartenhorst, 1993. "A two‐machine repair model with variable repair rate," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 495-523, June.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:4:p:495-523
    DOI: 10.1002/1520-6750(199306)40:43.0.CO;2-V
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    References listed on IDEAS

    as
    1. Wayne Winston, 1977. "Optimal Control of Discrete and Continuous Time Maintenance Systems with Variable Service Rates," Operations Research, INFORMS, vol. 25(2), pages 259-268, April.
    2. William P. Pierskalla & John A. Voelker, 1976. "A survey of maintenance models: The control and surveillance of deteriorating systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 353-388, September.
    3. S. Christian Albright, 1980. "Optimal maintenance‐repair policies for the machine repair problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(1), pages 17-27, March.
    4. Thomas B. Crabill, 1974. "Optimal Control of a Maintenance System with Variable Service Rates," Operations Research, INFORMS, vol. 22(4), pages 736-745, August.
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    Cited by:

    1. Shengli Lv, 2021. "Multi-Machine Repairable System with One Unreliable Server and Variable Repair Rate," Mathematics, MDPI, vol. 9(11), pages 1-16, June.
    2. Srinivas R. Chakravarthy & Atul Agarwal, 2003. "Analysis of a machine repair problem with an unreliable server and phase type repairs and services," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(5), pages 462-480, August.

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