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Waiting‐time probabilities in the M/G/1 retrial queue

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  • R. D. Nobel
  • H. C. Tijms

Abstract

This paper deals with the difficult problem of calculating the waiting‐time probabilities in the M/G/1 queue with retrials. The waiting‐time distribution is approximated by a gamma distribution by matching the first two moments. Numerical results indicate that this approximation performs satisfactory for practical purposes.

Suggested Citation

  • R. D. Nobel & H. C. Tijms, 2006. "Waiting‐time probabilities in the M/G/1 retrial queue," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(1), pages 73-78, February.
    • Handle: RePEc:bla:stanee:v:60:y:2006:i:1:p:73-78
    DOI: 10.1111/j.1467-9574.2006.00312.x
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    Cited by:

    1. Mu-Song Chen & Hao-Wei Yen, 2016. "A two-stage approach in solving the state probabilities of the multi-queue //1 model," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1230-1244, April.
    2. Avram, F. & Pistorius, M., 2014. "On matrix exponential approximations of ruin probabilities for the classic and Brownian perturbed Cramér–Lundberg processes," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 57-64.

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