STOCHASTIC COMPARISON OF THE FIRST PASSAGE TIME DISTRIBUTIONS IN THE M/G/1 RETRIAL QUEUE

  • Kim, Jeongsim (Department of Mathematics Education Chungbuk National University)
  • Received : 2011.04.10
  • Accepted : 2011.11.18
  • Published : 2011.12.30

Abstract

This paper gives the stochastic comparison results for the first passage time distributions in the M/G/1 retial queue.

Acknowledgement

Supported by : Chungbuk National University

References

  1. J. R. Artalejo, A classified bibliography of research on retrial queues: Progress in 1990-1999, Top 7 (1999), 187-211. https://doi.org/10.1007/BF02564721
  2. J. R. Artalejo, Accessible bibliography on retrial queues, Math. Comput. Model. 30 (1999), 1-6.
  3. J. R. Artalejo, Accessible bibliography on retrial queues: Progress in 2000-2009, Math. Comput. Model. 51 (2010), 1071-1081. https://doi.org/10.1016/j.mcm.2009.12.011
  4. J. R. Artalejo and A. Gomez-Corral, Retrial Queueing Systems, Springer, 2008.
  5. G. I. Falin, A survey of retrial queues, Queueing Systems 7 (1990), 127-168. https://doi.org/10.1007/BF01158472
  6. G. I. Falin and J. G. C. Templeton, Retrial Queues, Chapman & Hall, London, 1997.
  7. T. Yang and J. G. C. Templeton, A survey on retrial queues, Queueing Systems 2 (1982), 201-233.