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Optimal Control of a Maintenance System with Variable Service Rates

Author

Listed:
  • Thomas B. Crabill

    (The New York City-Rand Institute, New York, New York)

Abstract

This paper examines a production system with variable repair-service rates. Considering costs dependent on the service rates and costs due to lost production, it seeks to minimize the long-run expected average cost of the system. The model is a continuous-time Markovian decision problem. The paper states sufficient conditions for eliminating from consideration certain service rates and for the existence of an optimal stationary policy from a “simple” class. It also gives an example of a nonsimple optimal policy.

Suggested Citation

  • Thomas B. Crabill, 1974. "Optimal Control of a Maintenance System with Variable Service Rates," Operations Research, INFORMS, vol. 22(4), pages 736-745, August.
    • Handle: RePEc:inm:oropre:v:22:y:1974:i:4:p:736-745
    DOI: 10.1287/opre.22.4.736
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    Citations

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    Cited by:

    1. Ying Xu & Alan Scheller-Wolf & Katia Sycara, 2015. "The Benefit of Introducing Variability in Single-Server Queues with Application to Quality-Based Service Domains," Operations Research, INFORMS, vol. 63(1), pages 233-246, February.
    2. Barιş Ata, 2005. "Dynamic Power Control in a Wireless Static Channel Subject to a Quality-of-Service Constraint," Operations Research, INFORMS, vol. 53(5), pages 842-851, October.
    3. Shone, Rob & Glazebrook, Kevin & Zografos, Konstantinos G., 2019. "Resource allocation in congested queueing systems with time-varying demand: An application to airport operations," European Journal of Operational Research, Elsevier, vol. 276(2), pages 566-581.
    4. Hajeeh Mohammed, 2004. "Maintenance Models for a Repairable System," Stochastics and Quality Control, De Gruyter, vol. 19(1), pages 107-114, January.
    5. Ravi Kumar & Mark E. Lewis & Huseyin Topaloglu, 2013. "Dynamic service rate control for a single‐server queue with Markov‐modulated arrivals," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(8), pages 661-677, December.
    6. Lotfi Tadj & Gautam Choudhury, 2005. "Optimal design and control of queues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(2), pages 359-412, December.
    7. Jennifer M. George & J. Michael Harrison, 2001. "Dynamic Control of a Queue with Adjustable Service Rate," Operations Research, INFORMS, vol. 49(5), pages 720-731, October.
    8. 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.
    9. Barιş Ata & Deishin Lee & Erkut Sönmez, 2019. "Dynamic Volunteer Staffing in Multicrop Gleaning Operations," Operations Research, INFORMS, vol. 67(2), pages 295-314, March.
    10. Boronico, Jess S. & Siegel, Philip H., 1998. "Capacity planning for toll roadways incorporating consumer wait time costs," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 297-310, May.

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