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

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 lambda (E) , is obtained in the transient case. The criteria for the lambda (E) -recurrence are also obtained. Finally, the corresponding lambda (E) -invariant vector/measure is considered.