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Finite source retrial queues with two phase service

Author

Listed:
  • Jinting Wang
  • Fang Wang
  • Janos Sztrik
  • Attila Kuki

Abstract

This paper is concerned with a single server retrial queue with a finite number of sources with second optional service. This queueing system assumes that each source can generate a primary call to request service when it is free. After the first phase service, the customer will choose the second phase service with probability p. Our analysis extends previous work on this topic and we can use method of discrete transformation to get some more general results on the length of the queue, busy period and waiting time. Numerical examples show the influence of key parameters on the performance of the system.

Suggested Citation

  • Jinting Wang & Fang Wang & Janos Sztrik & Attila Kuki, 2017. "Finite source retrial queues with two phase service," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 30(4), pages 421-440.
    • Handle: RePEc:ids:ijores:v:30:y:2017:i:4:p:421-440
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    Cited by:

    1. Velika I. Dragieva & Tuan Phung-Duc, 2020. "A finite-source M/G/1 retrial queue with outgoing calls," Annals of Operations Research, Springer, vol. 293(1), pages 101-121, October.

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