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On Sharp Bounds on the Rate of Convergence for Finite Continuous-Time Markovian Queueing Models

  • Alexander ZeifmanEmail author
  • Alexander Sipin
  • Victor Korolev
  • Galina Shilova
  • Ksenia Kiseleva
  • Anna Korotysheva
  • Yacov Satin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10672)

Abstract

Finite inhomogeneous continuous-time Markov chains are studied. For a wide class of such processes an approach is proposed for obtaining sharp bounds on the rate of convergence to the limiting characteristics. Queueing examples are considered.

Notes

Acknowledgments

The work was supported by the Ministry of Education of the Russian Federation (the Agreement number 02.a03.21.0008 of 24 June 2016), by the Russian Foundation for Basic Research, projects no. 15-01-01698, 15-07-05316.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Alexander Zeifman
    • 1
    • 2
    • 3
    Email author
  • Alexander Sipin
    • 1
  • Victor Korolev
    • 2
    • 4
    • 5
  • Galina Shilova
    • 1
  • Ksenia Kiseleva
    • 1
    • 6
  • Anna Korotysheva
    • 1
  • Yacov Satin
    • 1
  1. 1.Vologda State UniversityVologdaRussia
  2. 2.Institute of Informatics Problems FRC CSC RASMoscowRussia
  3. 3.ISEDT RASVologdaRussia
  4. 4.Faculty of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia
  5. 5.Hangzhou Dianzi UniversityHangzhouChina
  6. 6.RUDN UniversityMoscowRussia

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