The busy period for the \(\mathrm{M}^{\theta}/\mathrm{G}/1/m\) system with service time dependent of the queue length

DOI10.17512/JAMCM.2013.4.16zbMath1364.60127OpenAlexW2128264997MaRDI QIDQ530190

Yuriy Zhernovyi, Bohdan Kopytko, Kostyantyn Zhernovyi

Publication date: 9 June 2017

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2013.4.16

zbMATH Keywords

queueing systemgroup arrival of customersservice time dependent on the queue length

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (1)

Asymptotic dissipativity of the diffusion process in the asymptotic small diffusion scheme

Cites Work

• Potentials method for \(M/G/1/m\) systems with threshold operating strategies
• The \(\mathrm{M}^\theta/\mathrm{G}/1/m\) queues with the time of service, depending on the length of the queue
• Optimal Control for an M^x/G/1 Queue with Two Operation Modes
• The \(\text{M}^{\text{X}}/\text{G}/1\) queue with queue length dependent service times

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