On the M/G/1 retrial queue subjected to breakdowns

Natalia V. Djellab

RAIRO - Operations Research (2010)

  • Volume: 36, Issue: 4, page 299-310
  • ISSN: 0399-0559

Abstract

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Retrial queueing systems are characterized by the requirement that customers finding the service area busy must join the retrial group and reapply for service at random intervals. This paper deals with the M/G/1 retrial queue subjected to breakdowns. We use its stochastic decomposition property to approximate the model performance in the case of general retrial times.

How to cite

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Djellab, Natalia V.. "On the M/G/1 retrial queue subjected to breakdowns." RAIRO - Operations Research 36.4 (2010): 299-310. <http://eudml.org/doc/105275>.

@article{Djellab2010,
abstract = { Retrial queueing systems are characterized by the requirement that customers finding the service area busy must join the retrial group and reapply for service at random intervals. This paper deals with the M/G/1 retrial queue subjected to breakdowns. We use its stochastic decomposition property to approximate the model performance in the case of general retrial times. },
author = {Djellab, Natalia V.},
journal = {RAIRO - Operations Research},
keywords = {Retrial queue; breakdown; stochastic decomposition approximation.; stochastic decomposition; approximation},
language = {eng},
month = {3},
number = {4},
pages = {299-310},
publisher = {EDP Sciences},
title = {On the M/G/1 retrial queue subjected to breakdowns},
url = {http://eudml.org/doc/105275},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Djellab, Natalia V.
TI - On the M/G/1 retrial queue subjected to breakdowns
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 4
SP - 299
EP - 310
AB - Retrial queueing systems are characterized by the requirement that customers finding the service area busy must join the retrial group and reapply for service at random intervals. This paper deals with the M/G/1 retrial queue subjected to breakdowns. We use its stochastic decomposition property to approximate the model performance in the case of general retrial times.
LA - eng
KW - Retrial queue; breakdown; stochastic decomposition approximation.; stochastic decomposition; approximation
UR - http://eudml.org/doc/105275
ER -

References

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  12. A. Krishnamoorthy and P.V. Ushakumari, Reliability of a k-out-of-nsystem with repair and retrial of failed units. Top7 (1999) 293-304.  Zbl0951.60087
  13. V.G. Kulkarni and B.D. Choi, Retrial queue with server subject to breakdowns and repairs. Queueing Systems7 (1990) 191-208.  Zbl0727.60110
  14. J.G.C. Templeton, Retrial queues. Top7 (1999) 351-353.  Zbl0949.90022
  15. T. Yanget al., An approximation method for the M/G/1 retrial queue with general retrial times. Eur. J. Oper. Res.76 (1994) 552-562.  Zbl0802.60089
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