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Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes

Olga Boudali and Antonis Economou

European Journal of Operational Research, 2012, vol. 218, issue 3, 708-715

Abstract: We consider a Markovian queue subject to Poisson generated catastrophes. Whenever a catastrophe occurs, all customers are forced to abandon the system, the server is rendered inoperative and an exponential repair time is set on. We assume that the arriving customers decide whether to join the system or balk, based on a natural reward-cost structure. We study the balking behavior of the customers and derive the corresponding Nash equilibrium and social optimal strategies.

Keywords: Queueing; Catastrophes; Balking; Nash equilibrium strategies; Social optimization (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:218:y:2012:i:3:p:708-715

DOI: 10.1016/j.ejor.2011.11.043

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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