Using mixture of Gamma distributions for Bayesian analysis in an M/G/1 queue with optional second service

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Authors Abdolreza Mohammadi, M. R. Salehi-Rad, Ernst Wit
Journal/Conference Name Computational Statistics
Paper Category
Paper Abstract The paper proposes Bayesian framework in an M/G/1 queuing system with optional second service. The semi-parametric model based on a finite mixture of Gamma distributions is considered to approximate both the general service and re-service times densities in this queuing system. A Bayesian procedure based on birth-death MCMC methodology is proposed to estimate system parameters, predictive densities and some performance measures related to this queuing system such as stationary system size and waiting time. The approach is illustrated with several numerical examples based on various simulation studies.
Date of publication 2013
Code Programming Language R

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