Perturbation bounds and truncations for a class of Markovian queues View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2014-02

AUTHORS

Alexander Zeifman, Victor Korolev, Yacov Satin, Anna Korotysheva, Vladimir Bening

ABSTRACT

We consider time-inhomogeneous Markovian queueing models with batch arrivals and group services. We study the mathematical expectation of the respective queue-length process and obtain the bounds on the rate of convergence and error of truncation of the process. Specific queueing models are shown as examples.

PAGES

205-221

References to SciGraph publications

  • 1991-12. Qualitative properties of inhomogeneous birth and death processes in JOURNAL OF SOVIET MATHEMATICS
  • 1998-09. Stability of birth-and-death processes in JOURNAL OF MATHEMATICAL SCIENCES
  • 1985. Stability for continuous-time nonhomogeneous Markov chains in STABILITY PROBLEMS FOR STOCHASTIC MODELS
  • 2004-03. Nonstationary Queues: Estimation of the Rate of Convergence in QUEUEING SYSTEMS
  • 2013. On a Queueing Model with Group Services in MODERN PROBABILISTIC METHODS FOR ANALYSIS OF TELECOMMUNICATION NETWORKS
  • 2009-12. On the nonstationary Erlang loss model in AUTOMATION AND REMOTE CONTROL
  • 2006-02. Some universal limits for nonhomogeneous birth and death processes in QUEUEING SYSTEMS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11134-013-9388-0

    DOI

    http://dx.doi.org/10.1007/s11134-013-9388-0

    DIMENSIONS

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