Fast simulation of steady-state call blocking probability in a two-channel system with threshold service strategies

DOI10.1007/s10559-023-00615-wzbMath1524.60236OpenAlexW4387428195MaRDI QIDQ6066039

M. Yu. Kuznetsov, A. A. Shumska

Publication date: 15 November 2023

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

Full work available at URL: https://doi.org/10.1007/s10559-023-00615-w

zbMATH Keywords

Monte Carlo methodstratified samplingqueueing systemresourcestationary probabilityfast simulationvariance of estimateblocking state

Mathematics Subject Classification ID

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

Cites Work

• Estimating the deviation of steady-state probabilities of system \(\mathrm{GI}/\mathrm{G}/m/r\) from state probabilities of system \(\mathrm{M}/\mathrm{M}/m/r\) by analytical-statistical method
• Fast simulation of the customer blocking probability in queueing networks with multicast access
• Determining the stationary probabilities of states of the system GI|G|n|O with an almost-poisson input
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