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Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers

Author

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  • Bara Kim

    (Korea University)

  • Jeongsim Kim

    (Chungbuk National University)

Abstract

We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach.

Suggested Citation

  • Bara Kim & Jeongsim Kim, 2020. "Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers," Queueing Systems: Theory and Applications, Springer, vol. 94(1), pages 129-146, February.
    • Handle: RePEc:spr:queues:v:94:y:2020:i:1:d:10.1007_s11134-019-09634-x
    DOI: 10.1007/s11134-019-09634-x
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    References listed on IDEAS

    as
    1. Jeongsim Kim & Bara Kim, 2016. "A survey of retrial queueing systems," Annals of Operations Research, Springer, vol. 247(1), pages 3-36, December.
    2. J. Artalejo, 1999. "A classified bibliography of research on retrial queues: Progress in 1990–1999," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 187-211, December.
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    Cited by:

    1. Bara Kim & Jeongsim Kim, 2023. "Proof of the conjecture on the stability of a multi-class retrial queue with constant retrial rates," Queueing Systems: Theory and Applications, Springer, vol. 104(3), pages 175-185, August.

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