Analyticity of single-server queues in light traffic

DOI10.1007/BF01148940zbMath0820.60075OpenAlexW2037709348MaRDI QIDQ1892643

Yanyan Li

Publication date: 19 June 1995

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

Full work available at URL: https://doi.org/10.1007/bf01148940

zbMATH Keywords

approximationsMacLaurin serieslight traffic derivativesperformance measures of queueing systems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (5)

Correlated queues with service times depending on inter-arrival times ⋮ Taylor series expansions for Poisson-driven (max,+)-linear systems ⋮ The MacLaurin expansion for a \(G/G/1\) queue with Markov-modulated arrivals and services ⋮ Taylor series expansions for stationary Markov chains ⋮ Higher order approximations for tandem queueing networks

Cites Work

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• The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence
• Light traffic equivalence in single-server queues
• Light traffic for workload in queues
• Technical Note—A Note on Waiting Times in Single Server Queues
• Conditions for Finite Ladder Height and Delay Moments
• Light Traffic Approximations in Queues
• An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals
• An Interpolation Approximation for Queueing Systems with Poisson Input
• Open Queueing Systems in Light Traffic
• The MacLaurin series for the GI/G/1 queue
• Analyticity of Poisson-driven stochastic systems
• The Departure Process of the GI/G/1 Queue and Its MacLaurin Series
• A Light-Traffic Theorem for Multi-Server Queues
• Pade approximation for stochastic discrete-event systems
• A Combinatorial Method in the Theory of Queues

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