Bayesian Estimation of the Parameters in a Bulk Service Queuing Model with Poisson Arrival and Exponential Service Time Distribution

Kuntal Bakuli ()
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Kuntal Bakuli: Banwarilal Bhalotia College

Chapter Chapter 15 in Applications of Operational Research in Business and Industries, 2023, pp 217-232 from Springer

Abstract: Abstract In this paper, a Bayesian approach has been used to estimate the system parameters of the queuing system M/M(a, b)/1, when the system is in steady state. Data has been collected after each service completion. Two different joint prior distributions have been suggested. A method based on MCMC algorithm has been used to generate sample from posterior distributions. Further, 95% credible region in the restricted parameter space has been derived using genetic algorithm.

Keywords: Bayesian estimation; Bulk service queue; MCMC algorithm; Credible region (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnopch:978-981-19-8012-1_15

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DOI: 10.1007/978-981-19-8012-1_15

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