Analysis of bulk retrial queue using maximum entropy principle

Analysis of bulk retrial queue using maximum entropy principle

0.00 Avg rating0 Votes
Article ID: iaor201526846
Volume: 23
Issue: 4
Start Page Number: 477
End Page Number: 496
Publication Date: Jun 2015
Journal: International Journal of Operational Research
Authors: ,
Keywords: markov processes, simulation
Abstract:

In the present investigation, we study the maximum entropy principle (MEP) for the Mx/G/1 retrial queue with general retrial times and unreliable server. The customers arrive in bulk in Poisson fashion and are served if they find the server idle otherwise join the virtual pool of customers called orbit. By using maximum entropy principle, approximate results for the queue length as well as waiting time are obtained. We construct the maximum entropy function by using several known constraints so as to determine the probability distributions. Moreover, a comparative study has been done between the exact analytic expressions obtained by the supplementary variable technique and approximate results obtained by MEP.

Reviews

Required fields are marked *. Your email address will not be published.