Approximations for the departure process of the G/G/1 queue with Markov-modulated arrivals

DOI10.1016/S0377-2217(00)00276-9zbMath0989.60094WikidataQ127248920 ScholiaQ127248920MaRDI QIDQ5952505

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Publication date: 29 July 2002

Published in: European Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

queueing networksautocorrelationG/G/1 queueMacLaurin seriesMarkov-modulated arrivalsMarkov-modulated process

Mathematics Subject Classification ID

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

Related Items (5)

The Departure Process for Queueing Systems with Batch Arrival of Customers ⋮ Weibull and Gamma Renewal Approximation Using Generalized Exponential Functions ⋮ Estimation of the generalized exponential renewal function ⋮ Characterization of the departure process from anME/ME/1queue ⋮ Higher order approximations for tandem queueing networks

Cites Work

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• The MacLaurin expansion for a \(G/G/1\) queue with Markov-modulated arrivals and services
• Markov-modulated queueing systems
• On performance comparison of \(MR/GI/1\) queues
• An interpolation approximation for the \(GI/G/1\) queue based on multipoint Padé approximation
• Higher order approximations for tandem queueing networks
• Approximations for departure processes and queues in series
• A queueing system with Markov-dependent arrivals
• The MacLaurin series for the GI/G/1 queue
• TES: A Class of Methods for Generating Autocorrelated Uniform Variates
• MR/GI/1 queues by positively correlated arrival stream
• The Departure Process of the GI/G/1 Queue and Its MacLaurin Series
• Pade approximation for stochastic discrete-event systems
• The Impact of Autocorrelation on Queuing Systems

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