Evaluation of steady state probabilities of the \(\bullet/\mathrm{G}/\infty\) queuing system for different input flow models

DOI10.1007/S10559-017-9927-5zbMath1390.60329OpenAlexW2602129059MaRDI QIDQ681907

A. A. Shumskaya, I. N. Kuznetsov

Publication date: 13 February 2018

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-017-9927-5

zbMATH Keywords

regenerative processrelative errorsemi-Markov processunbiased estimatequeuing systemcluster processnonstationary Poisson flowsteady state probability

Mathematics Subject Classification ID

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

Cites Work

• Rare events in queueing systems -- A survey
• Ergodic and light traffic properties of a complex repairable system
• Three cases of light-traffic insensitivity of the loss probability in a \(GI/G/m/0\) loss system to the shape of the service time distribution
• Estimation of stationary loss probability in a queueing system with recurrent input flows
• Limit theorem for multichannel networks in heavy traffic
• Multilevel Splitting for Estimating Rare Event Probabilities
• Performance Analysis and Optimization of Multi-Traffic on Communication Networks
• On Erlang's Formula
• Gaussian Approximation of Multi-channel Networks in Heavy Traffic
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Evaluation of steady state probabilities of the \(\bullet/\mathrm{G}/\infty\) queuing system for different input flow models