Frontiers of Mathematics in China >
Recurrence and decay properties of a star-typed queueing model with refusal
Received date: 28 Mar 2014
Accepted date: 02 Dec 2014
Published date: 05 Jun 2015
Copyright
We consider a multiclass service system with refusal and bulk-arrival. The properties regarding recurrence, ergodicity, and decay properties of such model are discussed. The explicit criteria regarding recurrence and ergodicity are obtained. The stationary distribution is given in the ergodic case. Then, the exact value of the decay parameter, denoted by λE, is obtained in the transient case. The criteria for the λE-recurrence are also obtained. Finally, the corresponding λE-invariant vector/measure is considered.
Junping LI , Xiangxiang HUANG , Juan WANG , Lina ZHANG . Recurrence and decay properties of a star-typed queueing model with refusal[J]. Frontiers of Mathematics in China, 2015 , 10(4) : 917 -932 . DOI: 10.1007/s11464-015-0444-4
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