Bayesian Inference and Prediction in an M/G/1 with Optional Second Service |
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Authors: | A Mohammadi M R Salehi-Rad |
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Institution: | 1. Johann Bernoulli Institute , University of Groningen , Groningen, Netherlands a.mohammadi@rug.nl;3. Department of Statistics , Allameh Tabataba&4. lsquo;5. i University , Tehran, Iran |
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Abstract: | In this article, we exploit the Bayesian inference and prediction for an M/G/1 queuing model with optional second re-service. In this model, a service unit attends customers arriving following a Poisson process and demanding service according to a general distribution and some of customers need to re-service with probability “p”. First, we introduce a mixture of truncated Normal distributions on interval (? ∞, 0) to approximate the service and re-service time densities. Then, given observations of the system, we propose a Bayesian procedure based on birth-death MCMC methodology to estimate some performance measures. Finally, we apply the theories in practice by providing a numerical example based on real data which have been obtained from a hospital. |
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Keywords: | Birth-death MCMC M/G/1 queue Optional service Truncated normal mixture |
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