Performance Analysis of Preemptive Priority Multi-queue Systems and Poisson Arrivals by Means of Power Series Algorithm

Document Type : Original Article

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Abstract

Priority queueing systems are widely used to model communication networks with several classes of messages, and a single transmission channel. An iterative numerical technique for the evaluation of queue length distributions is applied to multi-queue systems with one server and multi-priority queue discipline. The technique is based on power series expansions of the state probabilities, as a function of the load of the system. The convergence of the series is accelerated by applying an adopted form of the bilinear mapping, introduced by Blanc.
 

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