Queueing models with optional cooperative services

Document Type

Article

Publication Date

2-2016

Publication Title

European Journal of Operational Research

Abstract

In this paper we consider a single-server queueing model in which the customers arrive according to a versatile point process that includes correlated arrivals. An arriving customer can either request for an individual service or for a cooperative service (to be offered along with other customers with similar requests) with some pre-specified probabilities. There is a limit placed on the number of customers requiring cooperative services at any given time. Assuming the service times to be exponentially distributed with possibly different parameters depending on individual or cooperative services, we analyze this model using matrix-analytic method. Second, we simulate this model to obtain a couple of key performance measures which are difficult to compute analytically as well as numerically to show the benefit of cooperative services in queueing. Interesting numerical examples from both analytical and simulated models are discussed. We believe this type of queueing model, which is very much applicable in service areas, has not been studied in the literature.

Volume

248

Issue

3

First Page

997

Last Page

1008

DOI

10.1016/j.ejor.2015.08.015

ISSN

0377-2217

Rights

© 2016 Elsevier B.V. and Association of European Operational Research Societies (EURO) within the International Federation of Operational Research Societies (IFORS). All rights reserved.

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