Stability analysis of regenerative queueing systems
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作者:
E. Morozov
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机构:Karelian Research Centre Russian Academy of Sciences,Institute for Applied Mathematical Research
E. Morozov
R. Delgado
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机构:Karelian Research Centre Russian Academy of Sciences,Institute for Applied Mathematical Research
R. Delgado
机构:
[1] Karelian Research Centre Russian Academy of Sciences,Institute for Applied Mathematical Research
[2] University Autonomous of Barcelona,Department of Mathematics
来源:
Automation and Remote Control
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2009年
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70卷
关键词:
Remote Control;
Service Time;
Interarrival Time;
Regeneration Period;
Queueing Network;
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摘要:
This survey paper is devoted to stability analysis of regenerative queueing systems. The method is based on the renewal technique and allows to obtain simple proofs of the sufficient stability conditions which are close to being necessary. The applicability of the method is illustrated by a number of well-known and also less known queueing systems. An extension of the method to the systems under arbitrary initial states is given.
机构:
Russian Acad Sci, Inst Appl Math Res, Karelian Res Ctr, Petrozavodsk, RussiaRussian Acad Sci, Inst Appl Math Res, Karelian Res Ctr, Petrozavodsk, Russia
Morozov, E.
Delgado, R.
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机构:
Autonomous Univ Barcelona, Dept Math, Barcelona, SpainRussian Acad Sci, Inst Appl Math Res, Karelian Res Ctr, Petrozavodsk, Russia
机构:
Petrozavodsk State Univ, Dept Appl Math & Cybernet, Lenin Str 33, Petrozavodsk 185910, RussiaPetrozavodsk State Univ, Dept Appl Math & Cybernet, Lenin Str 33, Petrozavodsk 185910, Russia
Peshkova, Irina
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机构:
Morozov, Evsey
Pagano, Michele
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机构:
Univ Pisa, Dept Informat Engn, Via G Caruso 16, Pisa, ItalyPetrozavodsk State Univ, Dept Appl Math & Cybernet, Lenin Str 33, Petrozavodsk 185910, Russia
机构:
Moscow MV Lomonosov State Univ, Fac Math & Mech, Chair Probabil Theory, Moscow, RussiaMoscow MV Lomonosov State Univ, Fac Math & Mech, Chair Probabil Theory, Moscow, Russia
Afanasyeva, L. G.
Tkachenko, A. V.
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机构:
Natl Res Univ, Higher Sch Econ, Dept Math Econ & Econometr, Moscow, RussiaMoscow MV Lomonosov State Univ, Fac Math & Mech, Chair Probabil Theory, Moscow, Russia
机构:
Dept. of Appl. Math. and Cybernetics, Petrozavodsk State University, Lenin prospect 33, Petrozavodsk 185640, RussiaDept. of Appl. Math. and Cybernetics, Petrozavodsk State University, Lenin prospect 33, Petrozavodsk 185640, Russia