Equilibrium balking strategies in the single server Markovian queue with catastrophes

Details Equilibrium balking strategies in the single server Markovian queue with catastrophes Equilibrium balking strategies in the single server Markovian queue with catastrophes

2011-07-12

arxiv.org/abs/1107.2219v1

Mathematics

Probability

15 pages, 3 figures

Scientific paper

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 strategies.

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