Frontiers of Mathematics in China >
MX=M=c Queue with catastrophes and state-dependent control at idle time
Received date: 19 Feb 2016
Accepted date: 08 Oct 2016
Published date: 27 Nov 2017
Copyright
We consider an MX=M=c queue with catastrophes and state-dependent control at idle time. Properties of the queues which terminate when the servers become idle are first studied. Recurrence, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no catastrophes. All of these properties and the first effective catastrophe occurrence time are then investigated for the case of resurrection and catastrophes. In particular, we obtain the Laplace transform of the transition probability for the absorbing MX=M=c queue.
Junping LI , Lina ZHANG . MX=M=c Queue with catastrophes and state-dependent control at idle time[J]. Frontiers of Mathematics in China, 2017 , 12(6) : 1427 -1439 . DOI: 10.1007/s11464-017-0674-8
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