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<p>We present a novel empirical method of stochastic stability evaluation of non-Markovian queueing models. We use this method to evaluate the stability of the multiserver job model in which the service distribution is non-memoryless. Benefits and limitations of the approach are evaluated, comparison is done to an alternative statistical stability testing approach.</p>

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Stability by Regenerative Output Rate Estimation Using Saturation Rule: A Case of Multiserver Job Model

  • 期刊论文

  • 发表日期：

    2024年12月31日

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  • Sergey Astafiev,
  • Evsey Morozov,
  • Alexander Rumyantsev

摘要

We present a novel empirical method of stochastic stability evaluation of non-Markovian queueing models. We use this method to evaluate the stability of the multiserver job model in which the service distribution is non-memoryless. Benefits and limitations of the approach are evaluated, comparison is done to an alternative statistical stability testing approach.