Recurrence and decay a star-typed queueing properties of model with refusal  

作　　者：Junping LI Xiangxiang HUANG Juan WANG Lina ZHANG 

机构地区：[1]School of Mathematics and Statistics, Central South University, Changsha 410075, China

出　　处：《Frontiers of Mathematics in China》2015年第4期917-932,共16页中国高等学校学术文摘·数学（英文）

摘　　要：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.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.

关 键 词：Generation function bulk-arrival queue RECURRENCE ergodicity decay parameter invariant measure 

分 类 号：O571.3[理学—粒子物理与原子核物理] S858.291[理学—物理]