Analysis of \(\text{GI}/\text{M}/s/c\) queues using uniformisation

DOI10.1016/J.CAMWA.2005.11.015zbMath1091.60028OpenAlexW1964877747WikidataQ59323911 ScholiaQ59323911MaRDI QIDQ2494793

António Pacheco, Fátima Ferreira

Publication date: 30 June 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.11.015

zbMATH Keywords

Markov chainsPareto distributionLoss probabilityMixed-Poisson probabilitiesGI/M/\(s/c\) queuesStochastically monotone matricesUniformisation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (5)

Four Canadian Contributions to Stochastic Modeling ⋮ Efficient Methods to find the Equilibrium Distribution of the Number of Customers inGI/M/cQueues ⋮ Consecutive customer losses in oscillating \(GI^X/M//n\) systems with state dependent services rates ⋮ Analysis of \(GI^{X}/ M(n)// N\) systems with stochastic customer acceptance policy ⋮ A BAYESIAN APPROACH TO FIND RANDOM-TIME PROBABILITIES FROM EMBEDDED MARKOV CHAIN PROBABILITIES

Cites Work

• Some properties of the delay probability in \(M/M/s/s+c\) systems
• The Randomization Technique as a Modeling Tool and Solution Procedure for Transient Markov Processes
• Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain
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