Title: Finite source retrial queues with two phase service

Authors: Jinting Wang; Fang Wang; Janos Sztrik; Attila Kuki

Addresses: Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China ' Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China ' Department of Informatics Systems and Networks, Faculty of Informatics, University of Debrecen, Debrecen, Hungary ' Department of Informatics Systems and Networks, Faculty of Informatics, University of Debrecen, Debrecen, Hungary

Abstract: This paper is concerned with a single server retrial queue with a finite number of sources with second optional service. This queueing system assumes that each source can generate a primary call to request service when it is free. After the first phase service, the customer will choose the second phase service with probability p. Our analysis extends previous work on this topic and we can use method of discrete transformation to get some more general results on the length of the queue, busy period and waiting time. Numerical examples show the influence of key parameters on the performance of the system.

Keywords: retrial queues; finite source; two phase service; discrete transformation; busy period.

DOI: 10.1504/IJOR.2017.087824

International Journal of Operational Research, 2017 Vol.30 No.4, pp.421 - 440

Received: 14 Jul 2014
Accepted: 23 Mar 2015
Published online: 06 Nov 2017 *

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