An approximation of general multi-server queues with bulk arrivals and batch service

DOI10.1016/J.ORL.2021.12.006OpenAlexW4200399591MaRDI QIDQ2670473

Horst Zisgen

Publication date: 11 March 2022

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2021.12.006

zbMATH Keywords

multi-server queuesbulk arrivals and batch servicetwo moment approximation

Mathematics Subject Classification ID

Operations research, mathematical programming (90-XX)

Related Items (1)

Numerical analysis of shortest queue problem for time-scale queueing system with a small parameter

Cites Work

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• Analytically elegant and computationally efficient results in terms of roots for the \(\mathrm{GI}^X/\mathrm{M}/c\) queueing system
• Some results for the queues \(M^ X/M/c\) and \(GI^ X/G/c\)
• Analysis of the \(GI^ X/M/c\) model
• Approximations for Product Departures from a Single-Server Station with Batch Processing in Multi-Product Queues
• A Diffusion Approximation for Bulk Queues
• Fundamentals of Queueing Theory
• Queueing Networks and Markov Chains
• A Simple and Complete Solution to the Stationary Queue-Length Probabilities of a Bulk-Arrival Bulk-Service Queue

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