Maintenance of a deteriorating single server system with Markovian arrivals and random shocks

Srinivas R. Chakravarthy

European Journal of Operational Research, 2012, vol. 222, issue 3, 508-522

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.

Keywords: Markovian arrival process; Maintenance; Shocks; Optimization; Algorithmic probability (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:222:y:2012:i:3:p:508-522

DOI: 10.1016/j.ejor.2012.05.018

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