Title: Transient analysis of multi-server Markovian queueing system with synchronous multiple working vacations and impatience of customers

Authors: P. Vijaya Laxmi; T. Wondewosen Kassahun

Addresses: Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam – 530 003, India ' Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam – 530 003, India

Abstract: In this paper, we study an infinite capacity multi-server Markovian queue with synchronous multiple working vacations, balking and reneging. It is assumed that customers may balk and/or renege with some probability if all the c servers are busy serving customers either during the regular busy period or working vacation period. The reneging times follow an exponential distribution. The system is modeled by a quasi-birth-death process and the transient-state probabilities of the model are obtained in the Laplace domain using matrix geometric method.

Keywords: multiple working vacations; balking; reneging; transient-state probabilities; matrix geometric method; Laplace transform.

DOI: 10.1504/IJMOR.2020.105880

International Journal of Mathematics in Operational Research, 2020 Vol.16 No.2, pp.217 - 237

Received: 14 Mar 2018
Accepted: 20 Nov 2018
Published online: 16 Mar 2020 *

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