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M/M/c Retrial Queue with Multiclass of Customers

Author

Listed:
  • Yang Woo Shin

    (Changwon National University)

  • Dug Hee Moon

    (Changwon National University)

Abstract

We consider the M/M/c retrial queues with multiclass of customers. We show that the stationary joint distribution for the number of customers in service facility and orbit converges to those of the ordinary M/M/c with discriminatory random order service (DROS) policy as retrial rate tends to infinity. Approximation formulae for the distributions of the number of customers in service facility, the mean number of customers in orbit and the sojourn time distribution of a customer are presented. The approximations are compared with exact and simulation results.

Suggested Citation

  • Yang Woo Shin & Dug Hee Moon, 2014. "M/M/c Retrial Queue with Multiclass of Customers," Methodology and Computing in Applied Probability, Springer, vol. 16(4), pages 931-949, December.
    • Handle: RePEc:spr:metcap:v:16:y:2014:i:4:d:10.1007_s11009-013-9340-0
    DOI: 10.1007/s11009-013-9340-0
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    References listed on IDEAS

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    1. Yang Woo Shin, 2009. "Fundamental Matrix Of Transient Qbd Generator With Finite States And Level Dependent Transitions," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(05), pages 697-714.
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