Stability of a priority queueing system with customer transfers

Authors:
Jingui Xie;Qi-Ming He;Xiaobo Zhao
Affiliations:
Department of Industrial Engineering, Tsinghua University, Beijing 100084, PR China;Department of Industrial Engineering, Dalhousie University, Halifax, N.S., Canada B3J 2X4;Department of Industrial Engineering, Tsinghua University, Beijing 100084, PR China
Venue:
Operations Research Letters
Year:
2008

Citing 2
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Non-ergodicity criteria for denumerable continuous time Markov processes

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On the stationary distribution of queue lengths in a multi-class priority queueing system with customer transfers

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Abstract

This paper is concerned with the stability of a preemptive priority queueing system with customer transfers. Conditions for the queueing system to be stable/unstable are found. An interesting result is that the stability/instability conditions are independent of the service rates of lower priority customers and the transfer rates.