Statistical mechanics approach for steady-state analysis in \(M/M/s\) queueing system with balking

DOI10.3934/jimo.2020141zbMath1499.60314OpenAlexW3087341319MaRDI QIDQ2076412

Ikuo Arizono, Yasuhiko Takemoto

Publication date: 16 February 2022

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2020141

zbMATH Keywords

entropystatistical mechanicspotential energysteady-state analysisbalking\(M/M/s\) queueing system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Unnamed Item
• On a multiserver Markovian queueing system with balking and reneging
• The \(M/M/c/N\) queue with balking and reneging
• On the transient state probabilities for a queueing model where potential customers are discouraged by queue length
• An Analysis of M/M/s Queueing Systems Based on the Maximum Entropy Principle

This page was built for publication: Statistical mechanics approach for steady-state analysis in \(M/M/s\) queueing system with balking