Abstract:
The fundamental results relating to queuing systems with dependencies are presented in condensed form in the present survey. Particular attention is paid to the extension of the results obtained earlier for classical systems to systems with dependencies, and certain early classical results in queuing theory are discussed.
Citation:
D. König, V. V. Rykov, V. Schmidt, “Stationary queuing systems with dependencies”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 18, VINITI, Moscow, 1981, 95–186; J. Soviet Math., 21:6 (1983), 938–994
\Bibitem{KonRykSch81}
\by D.~K\"onig, V.~V.~Rykov, V.~Schmidt
\paper Stationary queuing systems with dependencies
\serial Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern.
\yr 1981
\vol 18
\pages 95--186
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intv47}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=625133}
\zmath{https://zbmath.org/?q=an:0481.60089|0507.60088}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 21
\issue 6
\pages 938--994
\crossref{https://doi.org/10.1007/BF01089194}
Linking options:
https://www.mathnet.ru/eng/intv47
https://www.mathnet.ru/eng/intv/v18/p95
This publication is cited in the following 8 articles:
Anthony Pakes, Wiley StatsRef: Statistics Reference Online, 2014
D. V. Efrosinin, V. V. Rykov, “On performance characteristics for queueing systems with heterogeneous servers”, Autom. Remote Control, 69:1 (2008), 61–75
S. F. Yashkov, A. S. Yashkova, “Processor sharing: A survey of the mathematical theory”, Autom Remote Control, 68:9 (2007), 1662
Anthony G. Pakes, Encyclopedia of Statistical Sciences, 2005
Anthony Pakes, Encyclopedia of Statistical Sciences, 2005, 1
B. N. Dimitrov, V. V. Rykov, Z. L. Krougly, “Periodic poisson processes and almost-lack-of-memory distributions”, Autom. Remote Control, 65:10 (2004), 1597–1610
Anthony G. Pakes, Encyclopedia of Statistical Sciences, 2004
Michail Sverchkov, Vladimir Rykov, “On coupling of stochastic processes with embedded point processes”, Acta Applicandae Mathematicae, 34:1-2 (1994), 71
Citation in format AMSBIB
Contact us: