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Queuing with Breakdowns

Author

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  • K. Thiruvengadam

    (Defence Science Laboratory, Delhi, India)

Abstract

A single-server queuing process in which the service facility is subject to breakdowns, is considered in this paper as a “preemptive resume priority” queuing process. The restrictions imposed on arrival process of breakdowns give rise to several breakdown models with different operational parameters. The time-dependent and the steady-state queue-length generating functions of two breakdown models are given in this paper, when the service time process and repair time process are general distributions. The results of White and Christie and Heathcote are obtained as particular cases.

Suggested Citation

  • K. Thiruvengadam, 1963. "Queuing with Breakdowns," Operations Research, INFORMS, vol. 11(1), pages 62-71, February.
    • Handle: RePEc:inm:oropre:v:11:y:1963:i:1:p:62-71
    DOI: 10.1287/opre.11.1.62
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    Cited by:

    1. Hauser, Matthias & Flath, Christoph M. & Thiesse, Frédéric, 2021. "Catch me if you scan: Data-driven prescriptive modeling for smart store environments," European Journal of Operational Research, Elsevier, vol. 294(3), pages 860-873.
    2. Herwig Bruneel & Dieter Fiems & Joris Walraevens & Sabine Wittevrongel, 2014. "Queueing models for the analysis of communication systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 421-448, July.
    3. Sauer Cornelia & Daduna Hans, 2003. "Availability Formulas and Performance Measures for Separable Degradable Networks," Stochastics and Quality Control, De Gruyter, vol. 18(2), pages 165-194, January.
    4. B. Krishna Kumar & R. Rukmani & A. Thanikachalam & V. Kanakasabapathi, 2018. "Performance analysis of retrial queue with server subject to two types of breakdowns and repairs," Operational Research, Springer, vol. 18(2), pages 521-559, July.
    5. Fiems, Dieter & Maertens, Tom & Bruneel, Herwig, 2008. "Queueing systems with different types of server interruptions," European Journal of Operational Research, Elsevier, vol. 188(3), pages 838-845, August.
    6. Miaomiao Yu & Yinghui Tang, 2022. "Analysis of a renewal batch arrival queue with a fault-tolerant server using shift operator method," Operational Research, Springer, vol. 22(3), pages 2831-2858, July.
    7. Hoseinpour, Pooya & Ahmadi-Javid, Amir, 2016. "A profit-maximization location-capacity model for designing a service system with risk of service interruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 113-134.

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