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Approximation of M/M/c retrial queue with PH-retrial times

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  • Shin, Yang Woo
  • Moon, Dug Hee

Abstract

We consider the M/M/c retrial queues with PH-retrial times. Approximation formulae for the distribution of the number of customers in service facility and the mean number of customers in orbit are presented. Some numerical results are presented.

Suggested Citation

  • Shin, Yang Woo & Moon, Dug Hee, 2011. "Approximation of M/M/c retrial queue with PH-retrial times," European Journal of Operational Research, Elsevier, vol. 213(1), pages 205-209, August.
    • Handle: RePEc:eee:ejores:v:213:y:2011:i:1:p:205-209
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    References listed on IDEAS

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    1. Ward Whitt, 1982. "Approximating a Point Process by a Renewal Process, I: Two Basic Methods," Operations Research, INFORMS, vol. 30(1), pages 125-147, February.
    2. Yang, T. & Posner, M. J. M. & Templeton, J. G. C. & Li, H., 1994. "An approximation method for the M/G/1 retrial queue with general retrial times," European Journal of Operational Research, Elsevier, vol. 76(3), pages 552-562, August.
    3. Diamond, Jeffrey E. & Alfa, Attahiru Sule, 1999. "Approximation method for M/PH/1 retrial queues with phase type inter-retrial times," European Journal of Operational Research, Elsevier, vol. 113(3), pages 620-631, March.
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    Cited by:

    1. Shweta Upadhyaya, 2020. "Investigating a general service retrial queue with damaging and licensed units: an application in local area networks," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 716-745, September.
    2. Dieter Fiems, 2022. "Retrial queues with generally distributed retrial times," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 189-191, April.
    3. Dieter Fiems, 2023. "Retrial queues with constant retrial times," Queueing Systems: Theory and Applications, Springer, vol. 103(3), pages 347-365, April.

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