M/M/1 retrial queueing model with variable service rate

Authors

  • M. S. Bratiichuk Silez. University of Technology, Poland
  • A. A. Chechelnitsky Kiev National University. Taras Shevchenko
  • I. Ya. Usar Kiev National University. Taras Shevchenko

DOI:

https://doi.org/10.37863/umzh.v72i3.813

Abstract

UDC 519.21<br>

The paper deals with queueing system of the type M/M/1 with repeated claims in the case where the service intensitydepends on the loading of the system, i.e., on the number of claims in the line to be served. We establish the existenceconditions and the formulas for ergodic distribution of the number of claims in the system with bounded and unboundedlines of repeated claims.

Author Biography

  • M. S. Bratiichuk, Silez. University of Technology, Poland

     

     

References

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Zhang, Xuelu; Wang, Jinting; Ma, Qing. Optimal design for a retrial queueing system with state-dependent service rate. J. Syst. Sci. Complex. 30 (2017), no. 4, 883--900. doi: 10.1007/s11424-017-5097-9

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Published

28.03.2020

Issue

Section

Research articles

How to Cite

Bratiichuk, M. S., et al. “M/M/1//Retrial/Queueing/Model/With/Variable/Service/Rate”. Ukrains’kyi Matematychnyi Zhurnal, vol. 72, no. 3, Mar. 2020, pp. 355-6, https://doi.org/10.37863/umzh.v72i3.813.