Queueing Systems

, Volume 7, Issue 2, pp 219–227 | Cite as

The M/G/1 retrial queue with bernoulli schedule

  • Bong Dae Choi
  • Kwang Kyu Park
Invited Paper

Abstract

We consider anM/G/1 retrial queue with infinite waiting space in which arriving customers who find the server busy join either (a) the retrial group with probabilityp in order to seek service again after a random amount of time, or (b) the infinite waiting space with probabilityq(=1−p) where they wait to be served. The joint generating function of the numbers of customers in the two groups is derived by using the supplementary variable method. It is shown that our results are consistent with known results whenp=0 orp=1.

Keywords

Retrial queues supplementary variable method 

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Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1990

Authors and Affiliations

  • Bong Dae Choi
    • 1
  • Kwang Kyu Park
    • 1
  1. 1.Department of Applied MathematicsKorea Advanced Institute of Science and TechnologySeoulKorea

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