Abstract
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 λ E , is obtained in the transient case. The criteria for the λ E -recurrence are also obtained. Finally, the corresponding λ E -invariant vector/measure is considered.
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Li, J., Huang, X., Wang, J. et al. Recurrence and decay properties of a star-typed queueing model with refusal. Front. Math. China 10, 917–932 (2015). https://doi.org/10.1007/s11464-015-0444-4
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DOI: https://doi.org/10.1007/s11464-015-0444-4