Asymptotic behavior of a system of two coupled queues when the content of one queue is very high

DOI10.1007/S11134-023-09894-8OpenAlexW4387707490MaRDI QIDQ6195492

Herwig Bruneel, Arnaud Devos

Publication date: 14 March 2024

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

Full work available at URL: https://doi.org/10.1007/s11134-023-09894-8

zbMATH Keywords

queueingasymptotic behaviordiscrete-timecoupled queuesdominant-pole approximationinterdependent arrivals

Mathematics Subject Classification ID

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

Cites Work

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• A queueing model with two classes of retrial customers and paired services
• Power series approximations for two-class generalized processor sharing systems
• A compensation procedure for multiprogramming queues
• On the asymmetric clocked buffered switch
• Analytic derivation of tail probabilities for queue lengths and waiting times in ATM multiserver queues
• The asymptotic behavior of queueing systems: Large deviations theory and dominant pole approximation
• A tandem queueing model with coupled processors.
• Some thoughts on the analysis of coupled queues
• Analysis of a discrete-time two-class randomly alternating service model with Bernoulli arrivals
• A tandem queue with coupled processors: Computational issues
• Analysis of the symmetric join the shortest orbit queue
• Two Similar Queues in Parallel
• The Equilibrium Distribution for a Clocked Buffered Switch
• Singularity Analysis of Generating Functions
• Power Series for Stationary Distributions of Coupled Processor Models
• Processor-sharing of two parallel lines
• The Power-Series Algorithm Applied to the Shortest-Queue Model
• Two queues in parallel
• A compensation approach for two-dimensional Markov processes
• Two queues with random time-limited polling
• On the convergence of the power series algorithm
• The Compensation Approach for Walks With Small Steps in the Quarter Plane
• A TWO-CLASS RETRIAL SYSTEM WITH COUPLED ORBIT QUEUES
• Queueing models with multiple waiting lines

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