Classical and Bayes estimation in the M|D|1 queueing system

P. Chandrasekhar, V. S. Vaidyanathan, T. M. Durairajan and V. S. S. Yadavalli

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 22, 5411-5421

Abstract: By considering an M|D|1 queueing system, the maximum likelihood and consistent estimators of traffic intensity are derived by observing the number of entity arrivals during the service time of an entity. Uniform minimum variance unbiased estimators for the expected waiting times per entity in the system and queue are obtained. Further, Bayes estimators of traffic intensity, measures of system performance, minimum posterior risk, and minimum Bayes risk associated with these estimators are derived. Also, the Bayes estimator of traffic intensity and its risk function are derived under LINEX loss function.

Date: 2021
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DOI: 10.1080/03610926.2020.1734833

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