Title: Analysis of network of biserial queues linked with a common server

Authors: Seema Sharma; Deepak Gupta; Sameer Sharma

Addresses: Department of Mathematics, D.A.V. College, Jalandhar City, 144008 Punjab, India ' Department of Mathematics, M.M. University, Mullana, Ambala, 133207 Haryana, India ' Department of Mathematics, D.A.V. College, Jalandhar City, 144008 Punjab, India

Abstract: This paper is an attempt to study the steady state analysis of a complex network of queues in which a common server is linked in series with each of two parallel biserial servers. The arrival and service pattern follows Poisson law. The generating function technique, law of calculus and statistical tools have been used to find the various queue characteristics. The model finds its application in decision making, in process industry, in banking system, in communication networking, in supermarkets, in healthcare centre and in many administrative setups. An algorithm is proposed to find the mean queue length of customers/jobs, variance of queues and average waiting time of customers/jobs. The performance of algorithm is assessed by a numerical illustration.

Keywords: biserial servers; steady state behaviour; mean queue length; average waiting time; parallel servers; queuing variance.

DOI: 10.1504/IJCSM.2014.064856

International Journal of Computing Science and Mathematics, 2014 Vol.5 No.3, pp.293 - 324

Received: 05 Nov 2012
Accepted: 23 Mar 2013

Published online: 27 Sep 2014 *

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