Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes
AbstractWe 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.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 218 (2012)
Issue (Month): 3 ()
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Web page: http://www.elsevier.com/locate/eor
Queueing; Catastrophes; Balking; Nash equilibrium strategies; Social optimization;
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