Abstract
The familiar results on ergodicity of priority queueing systems were obtained under the assumption that the input streams of requests of all priorities are Poisson. This assumption is weakened by finding the sufficient conditions of ergodicity of queueing systems with two classes of priorities, where the stream of requests of higher priority is hyperexponential, and the one of lower priority is reccurent. Systems with different types of absolute priority are investigated. To obtain the sought ergodicity conditions, relations are determined that link the sequential values of waiting times of each priority.
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Translated by E. Oborin
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Mistryukov, A.V., Ushakov, V.G. Sufficient Conditions of the Ergodicity of Queueing Systems with Absolute Priority . MoscowUniv.Comput.Math.Cybern. 44, 37–43 (2020). https://doi.org/10.3103/S0278641920010082
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DOI: https://doi.org/10.3103/S0278641920010082