Title

Maintenance of a deteriorating single server system with Markovian arrivals

Document Type

Article

Publication Date

11-1-2012

Publication Title

European Journal of Operational Research

Abstract

We consider a single server queue in which the arrivals occur according to a Markovian arrival process. The system is subject to external shocks causing the server to deteriorate and possibly fail. The maintenance of the server is provided either as a preventive one or for a complete failure so as to bring back to normal. Under the assumptions of Poisson shocks, exponential services and exponential maintenance with rates depending on the state of the server, and a general (discrete) probability distribution for the intensity of the shocks, the model is analyzed in steady-state. Some interesting theoretical results along with a few illustrative numerical examples are reported. An optimization problem involving various costs is studied numerically.

Volume

222

Issue

3

First Page

508

Last Page

522

DOI

10.1016/j.ejor.2012.05.018

ISSN

0377-2217

Rights

© 2012 Elsevier B.V. All rights reserved.

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