Bayesian estimation of finite buffer size in single server Markovian queuing system

Arpita Basak () and Amit Choudhury ()
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Arpita Basak: Gauhati University
Amit Choudhury: Gauhati University

International Journal of System Assurance Engineering and Management, 2024, vol. 15, issue 6, No 28, 2366-2373

Abstract: Abstract For operating any new finite capacity (say K) queuing system in which customers arrive according to a Poisson process and are served by a single server under exponential service time (in Kendall’s notation M/M/1/K system), the assumption of fixing K and estimating the parameter traffic intensity $$\rho$$ ρ , is quite practical. But in situation of any pre-existing M/M/1/K queuing system, it is essential to determine an estimator of K to increase system efficiency for fixed value of $$\rho$$ ρ . This paper therefore considered the problem of estimating the parameter finite buffer (K). A Bayes estimator of K is proposed and compared it with classical estimator based on maximum likelihood principal, under the assumption that $$\rho$$ ρ is known. A simulation study is carried out to establish the efficacy and effectiveness of the proposed approaches. A real life situation is analyzed to illustrate the applicability of the developed algorithms.

Keywords: M/M/1/K queuing system; Blocking Probability; Bayesian estimation; Finite buffer size; Maximum likelihood estimation (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13198-024-02250-w

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