Title: Analysis of MAP/PH/1 retrial queue with constant retrial rate, working vacations, abandonment, flush out, search of customers, breakdown and repair

Authors: G. Ayyappan; R. Gowthami

Addresses: Department of Mathematics, Pondicherry Engineering College, Pillaichavady, Puducherry – 605014, India ' Department of Mathematics, Pondicherry Engineering College, Pillaichavady, Puducherry – 605014, India

Abstract: A retrial queueing model in which the inter arrival times follow Markovian arrival process (MAP), the service times follow phase type distribution and the remaining random variables follow exponential distribution is studied in this paper. We use the matrix analytic method to study the resulting GI/M/1-type queueing model in the steady state. Some performance measures are enumerated. The analysis of the model has been done numerically and graphically.

Keywords: Markovian arrival process? MAP? phase type distribution? retrial queues? orbital search? working vacation? breakdown and repair.

DOI: 10.1504/IJOR.2021.119409

International Journal of Operational Research, 2021 Vol.42 No.3, pp.310 - 331

Received: 15 Feb 2019
Accepted: 20 May 2019
Published online: 03 Dec 2021 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article