Title: On the multiserver retrial queues with negative arrivals

Authors: Zidani Nesrine; Djellab Natalia

Addresses: Department of Mathematics, University of Annaba, BP.12, Annaba, 23000, Algeria ' Department of Mathematics, University of Annaba, BP.12, Annaba, 23000, Algeria

Abstract: The paper deals with an M/M/C/K retrial queue with exponential abandonment at which positive and negative customers arrive according to Poisson processes. This model is of practical interest: it can be used for analysing the performance in call centres and e-mail contact systems. For the model under investigation, we find the ergodicity conditions and also the approximate solution by using finite truncation and value extrapolation methods. We present some numerical results to examine the performance of the value extrapolation method as well as the system performance.

Keywords: abandonment; truncation; ergodicity condition; extrapolation; negative arrivals.

DOI: 10.1504/IJMOR.2018.094056

International Journal of Mathematics in Operational Research, 2018 Vol.13 No.2, pp.219 - 242

Received: 16 Feb 2016
Accepted: 16 Dec 2016
Published online: 14 Aug 2018 *

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