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The MAP/PH/N multi-server queuing system with broadcasting service discipline and server heating

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Abstract

A multiserver queuing system with an infinite buffer is considered. The incoming customer is described by a Markovian input flow. The heating time of the servers and the time of the customer service have a phase type distribution. The heating of all the free servers starts at the customer’s arrival moment, and the customer receives the service by all these servers after the heating’s termination. The steady state distribution of the customers and their sojourn time in a system are found. The basic performance measures of the system are calculated. The results of the numerical experiments show the potential usability of the proposed service discipline in comparison with the classical one.

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Authors and Affiliations

  1. School of Economics and Management, Inner Mongolian University of Science and Technology, Baotou, 014010, China

    Bin Sun

  2. Department of Applied Mathematics and Computer Science, Belarusian State University, Minsk, 20030, Belarus

    A. N. Dudin

Authors
  1. Bin Sun
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  2. A. N. Dudin
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Correspondence to Bin Sun.

Additional information

Original Russian Text © Bin Sun, A.N. Dudin, 2012, published in Avtomatika i Vychislitel’naya Tekhnika, 2012, No. 4, pp. 13–27.

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Sun, B., Dudin, A.N. The MAP/PH/N multi-server queuing system with broadcasting service discipline and server heating. Aut. Control Comp. Sci. 47, 173–182 (2013). https://doi.org/10.3103/S0146411613040032

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  • DOI: https://doi.org/10.3103/S0146411613040032

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