충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권3호
  • /
  • Pages.405-411
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  • 2014
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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AN APPROXIMATION FOR THE DISTRIBUTION OF THE NUMBER OF RETRYING CUSTOMERS IN AN M/G/1 RETRIAL QUEUE

  • Kim, Jeongsim (Department of Mathematics Education Chungbuk National University) ;
  • Kim, Jerim (Department of Business Administration Yong In University)
  • 투고 : 2014.03.03
  • 심사 : 2014.06.30
  • 발행 : 2014.08.15
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초록

Queueing systems with retrials are widely used to model many problems in call centers, telecommunication networks, and in daily life. We present a very accurate but simple approximate formula for the distribution of the number of retrying customers in the M/G/1 retrial queue.

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참고문헌

  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
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  4. J. R. Artalejo and A. Gomez-Corral, Retrial Queueing Systems, Springer, 2008.
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  8. J. Kim, B. Kim, and S-S Ko, Tail asymptotics for the queue size distribution in an M/G/1 retrial queue, J. Appl. Probab. 44 (2007), 1111-1118. https://doi.org/10.1239/jap/1197908829
  9. V. G. Kulkarni and H. M. Liang, Retrial queues revisited, In: Frontiers in Queueing: Models and Applications in Science and Engineering (J. H. Dsha-lalow, ed.), CRC Press, Boca Raton, 1997, 19-34.
  10. T. Yang and J. G. C. Templeton, A survey on retrial queues, Queueing Syst. 2 (1987), 201-233. https://doi.org/10.1007/BF01158899

피인용 문헌

  1. AN APPROXIMATION FOR THE QUEUE LENGTH DISTRIBUTION IN A MULTI-SERVER RETRIAL QUEUE vol.29, pp.1, 2016, https://doi.org/10.14403/jcms.2016.29.1.95