Browse > Article
http://dx.doi.org/10.14403/jcms.2014.27.3.405

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)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.3, 2014 , pp. 405-411 More about this Journal
Abstract
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.
Keywords
M/G/1 retrial queue; tail asymptotics; Lerch transcendent;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. R. Artalejo, Accessible bibliography on retrial queues, Math. Comput. Model. 30 (1999), 1-6.
2 J. R. Artalejo, Accessible bibliography on retrial queues: Progress in 2000-2009, Math. Comput. Model. 51 (2010), 1071-1081.   DOI   ScienceOn
3 J. R. Artalejo and A. Gomez-Corral, Retrial Queueing Systems, Springer, 2008.
4 A. Erdelyi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York, 1953.
5 G. I. Falin, A survey of retrial queues, Queueing Syst. 7 (1990), 127-168.   DOI   ScienceOn
6 G. I. Falin and J. G. C. Templeton, Retrial Queues, Chapman & Hall, London, 1997.
7 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.   DOI   ScienceOn
8 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.
9 T. Yang and J. G. C. Templeton, A survey on retrial queues, Queueing Syst. 2 (1987), 201-233.   DOI
10 J. R. Artalejo, A classified bibliography of research on retrial queues: Progress in 1990-1999, Top 7 (1999), 187-211.   DOI   ScienceOn