Limit non-stationary behavior of large closed queueing networks with bottlenecks

DOI10.1007/BF01153525zbMath0780.60087OpenAlexW2076815187MaRDI QIDQ688645

Robert Sh. Liptser, Yaakov Kogan

Publication date: 4 January 1994

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01153525

zbMATH Keywords

diffusion approximationmartingale methodsstationary distributionJackson queueing networks

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (8)

CONDITIONS FOR RECURRENCE AND TRANSIENCE FOR TIME-INHOMOGENEOUS BIRTH-AND-DEATH PROCESSES ⋮ The Effective Bandwidth Problem Revisited ⋮ Large closed queueing networks in semi-Markov environment and their application ⋮ Analysis of multiserver retrial queueing system: a martingale approach and an algorithm of solution ⋮ Approximation of initial loading of infinite-server systems ⋮ State-dependent stochastic networks. I: Approximation and applications with continuous diffusion limits ⋮ On diffusion approximation with discountinuous coefficients. ⋮ Asymptotic analysis of product-form distributions related to large interconnection networks

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