Maintenance of a deteriorating single server system with Markovian arrivals and random shocks
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.
Recommended Citation
Chakravarthy, Srinivas R., "Maintenance of a deteriorating single server system with Markovian arrivals and random shocks" (2012). Industrial & Manufacturing Engineering Publications. 51.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/51
