International Journal of Multidisciplinary Research and Development

International Journal of Multidisciplinary Research and Development


International Journal of Multidisciplinary Research and Development
International Journal of Multidisciplinary Research and Development
Vol. 2, Issue 12 (2015)

Analysis of discrete -time queue of packets with G/G/1 Queueing model


Pukazhenthi N, Ezhilvanan M

In an attempt to provide a simple and computationally efficient method for the analysis of manufacturing systems, we have adopted the discrete-time analysis (DTA) approach to problems arising out of manufacturing. The subject of our study is the discrete -time G/G/1 queuing system with infinite waiting room. The time interval between the consecutive arrivals of customers is described in terms of a discrete probability mass function (p.m.f) a(k): a(k) is the probability of having an interval of an integer number of k time units between the arrival of customer number n and customer number n+1. The service time of customer n is given in terms of a discrete (p.m.f)b(k). The inter-arrival time and the service times are independent and identically distributed (i.i.d) random variables. The customers are served in the order of their arrival First-Come-First Served (FCFS). An explicit formulae are obtained for the distribution of the occupancy, just before and after the departure epoch by using discrete-time analysis. Time is assumption into equal intervals called slots. Further, some special cases of the model, numerical results, have been carried out in the form of a table and graphs.
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How to cite this article:
Pukazhenthi N, Ezhilvanan M. Analysis of discrete -time queue of packets with G/G/1 Queueing model. International Journal of Multidisciplinary Research and Development, Volume 2, Issue 12, 2015, Pages 73-79
International Journal of Multidisciplinary Research and Development International Journal of Multidisciplinary Research and Development