Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes
نویسندگان
چکیده
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.
منابع مشابه
Equilibrium balking strategies in the single server Markovian queue with catastrophes
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 customer...
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ورودعنوان ژورنال:
- European Journal of Operational Research
دوره 218 شماره
صفحات -
تاریخ انتشار 2012