An M/PH/kretrial queue with finite number of sources

Authors:
Attahiru Sule Alfa;K. P. Sapna Isotupa
Affiliations:
Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Man., Canada R3T 5V6;School of Business and Economics, Wilfrid Laurier University, Waterloo, Ont., Canada N2L 3C5
Venue:
Computers and Operations Research
Year:
2004

Citing 5
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Abstract

We study retrial queues with a finite source of customers and identical multiple servers in parallel. Service time requirements in such systems are not of exponential type, yet most of the models assume this service distribution. In this paper, we allow the service times to assume phase type distribution and present two different types of Markov chains based on state space arrangements, for modelling the system. We discuss the special features of the two formulations, show how to obtain some key performance measures and present numerical examples.