A probabilistic approach for the analysis of the \(M_n/G/1\) queue

DOI10.1007/s10479-015-1943-0zbMath1501.90016OpenAlexW969420153MaRDI QIDQ2095187

Antonis Economou, Athanasia Manou

Publication date: 9 November 2022

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-015-1943-0

zbMATH Keywords

\(M/G/1\) queueequilibrium distributionbalkingsingle server queueconditional sojourn time distributionstate-dependent arrival rate

Mathematics Subject Classification ID

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

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Cites Work

• Equilibrium joining probabilities for an M/G/1 queue
• To queue or not to queue: equilibrium behavior in queueing systems.
• Stationary remaining service time conditional on queue length
• Strategic Customers in a Transportation Station: When Is It Optimal to Wait?
• Strategies for a Centralized Single Product Multiclass M/G/1 Make-to-Stock Queue
• The Conditional Distribution of the Residual Service Time in theM_n/G/1 Queue
• Conditional Ages and Residual Service Times in the M/G/1 Queue
• Optimal Design of Queueing Systems
• Technical Note—The Expected Remaining Service Time in a Single Server Queue
• The Regulation of Queue Size by Levying Tolls

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