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Stationary time characteristics of the GI/M/n/∞ system with some variants of the generalized renovation discipline

  • Non-Classical Models of the Queuing Theory
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Abstract

Consideration was given to the queuing system with recurrent arrivals, exponential distribution of the service time, infinite buffers, and the following variants of the discipline of generalized renovation and service: inversive order of renovation with direct order of customer service and direct and inversive orders of renovation with inversive order of customer service. For the serviced and lost customers, the stationary time characteristics of sojourn in the buffer were determined

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References

  1. Kreinin, A., Queueing Systems with Renovation, J. Appl. Math. Stochast. Anal., 1997, vol. 10, no. 4, pp. 431–443.

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  2. Zaryadov, I.S., Stationary Characteristics of the G/M/n/r System with Some Variants of the Generalized Renovation Discipline, Inform. Protsessy, 2008, vol. 8, no. 2, pp. 108–124.

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Authors and Affiliations

  1. Peoples’ Friendship University, Moscow, Russia

    I. S. Zaryadov

  2. Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia

    A. V. Pechinkin

Authors
  1. I. S. Zaryadov
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  2. A. V. Pechinkin
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Original Russian Text © I.S. Zaryadov, A.V. Pechinkin, 2009, published in Avtomatika i Telemekhanika, 2009, No. 12, pp. 161–174.

This work was supported by the Russian Foundation for Basic Research, projects nos. 08-07-00152 and 09-07-12032.

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Zaryadov, I.S., Pechinkin, A.V. Stationary time characteristics of the GI/M/n/∞ system with some variants of the generalized renovation discipline. Autom Remote Control 70, 2085–2097 (2009). https://doi.org/10.1134/S0005117909120157

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  • DOI: https://doi.org/10.1134/S0005117909120157

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