Bayesian Inference and Prediction in an M/G/1 with Optional Second Service

DOI10.1080/03610918.2011.588358zbMath1296.62059OpenAlexW2162164166MaRDI QIDQ4906424

Reza Mohammadi, M. R. Salehi-Rad

Publication date: 11 February 2013

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2011.588358

zbMATH Keywords

optional servicebirth-death MCMC\(\mathrm{M}/\mathrm{G}/1\) queuetruncated normal mixture

Mathematics Subject Classification ID

Bayesian inference (62F15) Queueing theory (aspects of probability theory) (60K25)

Related Items (max. 100)

M/PH/1 queueing model with re-servicing ⋮ Using mixture of gamma distributions for Bayesian analysis in an M/G/1 queue with optional second service

Cites Work

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• Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
• Bayesian control of the number of servers in a \(\mathrm{GI}/\mathrm{M}/c\) queueing system
• Bayesian prediction of the transient behaviour and busy period in short- and long-tailed GI/G/1 queueing systems
• Bayesian analysis of \(M/Er/1\) and \(M/H_k/1\) queues
• Bayesian prediction in \(M/M/1\) queues
• Bayesian estimation for the \(M\)/\(G\)/1 queue using a phase-type approximation
• Reservicing some customers in M/G/1 queues under three disciplines
• Bayesian analysis of mixture models with an unknown number of components\,--\,an alternative to reversible jump methods.
• Markov chains for exploring posterior distributions. (With discussion)
• Dealing With Label Switching in Mixture Models
• Reversible Jump, Birth-and-Death and More General Continuous Time Markov Chain Monte Carlo Samplers

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