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In the paper, a single-server retrial queueing system M/M/1 with non-persistent customers and feedback is considered. Customers arrive to the system according Poisson stationary process. Service times and delay times have exponential distributions. There is classical policy of retrials (i.e. multiple access). The asymptotic stationary probability distribution of the number of customers in the orbit and sojourn time of a marked customer in the system are derived by the asymptotic analysis method under a long delay condition.

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Asymptotic Analysis of Sojourn Time in Retrial Queueing System with Non-persistent Customers and Feedback

  • 会议论文

  • 发表日期：

    2025年

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  • Ekaterina Fedorova,
  • Anatoly Nazarov,
  • Daria Nikolaeva

摘要

In the paper, a single-server retrial queueing system M/M/1 with non-persistent customers and feedback is considered. Customers arrive to the system according Poisson stationary process. Service times and delay times have exponential distributions. There is classical policy of retrials (i.e. multiple access). The asymptotic stationary probability distribution of the number of customers in the orbit and sojourn time of a marked customer in the system are derived by the asymptotic analysis method under a long delay condition.