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Equilibrium balking strategies in the single server Markovian queue with catastrophes
Queueing, Catastrophes Balking Nash equilibrium strategies Social optimization
2011/9/2
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...
Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
Convexity of Workload Autocorrelation Independent Increment Input Probability
2011/8/26
Abstract: We propose a method based on probabilistic arguments to study the convexity of the autocorrelation function of processes associated with a single server queue. To illustrate the power of the...
A single server queue with additional optional service in batches and server vacation
Optional batch service steady state equations queue length
2010/9/14
A single server infinite capacity queueing system with Poisson arrival and exponential service time distribution along with second optional service in batches is considered. As soon as the server beco...