A multi-server queueing model with server consultations

Document Type

Article

Publication Date

3-16-2014

Publication Title

European Journal of Operational Research

Abstract

We consider a multi-server queueing model in which the arrivals occur according to a Markovian arrival process. One of the servers, henceforth referred to as the main server, offers consultation to fellow servers (referred to as regular servers) apart from serving the customers. A regular server may request a consultation only when serving a customer and is offered consultation on a first-come-first-served basis by the main server. The main server gives a preemptive priority to regular servers (for consulting) over customers. Thus, the main server can undergo interruptions during his/her servicing the customers. Under the assumptions of exponential services and consultations, the model is analyzed in steady-state using the well-known matrix-analytic methods. Illustrative numerical examples to bring out the qualitative nature of the model under study are presented.

Volume

233

Issue

3

First Page

625

Last Page

639

DOI

10.1016/j.ejor.2013.10.008

ISSN

0377-2217

Rights

© 2014 Elsevier B.V. All rights reserved.

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