Stability Conditions of a Preemptive Repeat Priority Queue with Customer Transfers
نویسندگان
چکیده
This paper is concerned with the stability of a preemptive repeat priority queueing system with multiple types of customers and customer transfers between queues. Using the mean-drift method and matrix-analytic methods, simple conditions for the queueing system to be stable or instable are found. The conditions indicate that system stability depends only on the service rate of customers of the highest priority and arrival rates of individual types of customers. That implies that the service rates and the transfer rates of all lower priority customers have no impact on system stability a result that can be useful in the design of such queueing systems.
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