Waiting time distribution in the M/M/m retrial queue
Bull. Korean Math. Soc. 2013 Vol. 50, No. 5, 1659-1671
https://doi.org/10.4134/BKMS.2013.50.5.1659
Published online September 1, 2013
Jeongsim Kim and Jerim Kim
Chungbuk National University, Yongin University
Abstract : In this paper, we are concerned with the analysis of the waiting time distribution in the M/M/m retrial queue. We give expressions for the Laplace-Stieltjes transform (LST) of the waiting time distribution and then provide a numerical algorithm for calculating the LST of the waiting time distribution. Numerical inversion of the LSTs is used to calculate the waiting time distribution. Numerical results are presented to illustrate our results.
Keywords : M/M/m retrial queue, waiting time, Laplace-Stieltjes transform, first passage time
MSC numbers : Primary 60K25
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