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

DOI10.1080/03610926.2020.1734833OpenAlexW3009556358MaRDI QIDQ5079142

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

Publication date: 25 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1734833

zbMATH Keywords

Bayes estimatorconsistent estimatoruniform minimum variance unbiased estimator\(M|D|1\) queueing systemminimum posterior risk

Mathematics Subject Classification ID

Statistics (62-XX) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (4)

Probability thermodynamics and probability quantum field ⋮ Bayesian inference and prediction in an M/D/1 queueing system ⋮ Nonparametric estimation for multi-server queues based on the number of clients in the system ⋮ UMVUEs and Bayes estimators for various performance measures on a Poisson queue with discouraged arrivals

Cites Work

• Unnamed Item
• A subjective Bayesian approach to the theory of queues. I: Modeling
• Parametric estimation of an \(M| Er| 1\) queue
• Analytical solution of finite capacity M/D/1 queues
• ML and UMVU estimation in the M/D/1 queuing system
• Bayesian Estimation and Prediction Using Asymmetric Loss Functions
• Transient analytical solution of M/D/1/N queues
• Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain

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