Frequentist inference on traffic intensity of M/M/1 queuing system

• Autorzy: Dutta Kaustav , Choudhury Amit

Identyfikatory

DOI

10.37190/ord230102

• Języki publikacji: EN

Abstrakty

EN

When we study any queuing system, the performance measures reflect different features of the system. In the classical M/M/1 queuing system, traffic intensity is perhaps the most important performance measure. We propose a fresh and simple estimator for the same and show that it has nice properties. Our approach is frequentist. This approach has the dual advantage of practical usability and familiarity. Our proposed estimator is attractive as it possesses desirable properties. We have shown how our estimator lends itself to testing of hypothesis. Confidence intervals are constructed. Sample size determination is also discussed. A comparison with a few similar estimators is also performed.

Słowa kluczowe

EN

confidence interval; estimation; hypothesis testing; performance measures; single server Markovian model; traffic intensity

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2023
• Tom: Vol. 33, No. 1
• Strony: 21--34
• Opis fizyczny: Bibliogr. 38 poz., rys.

Twórcy

autor

Dutta Kaustav

• Department of Statistics, Gauhati University, Guwahati, Assam, India

• https://orcid.org/0000-0001-6928-3481

autor

Choudhury Amit

• Department of Statistics, Gauhati University, Guwahati, Assam, India

• https://orcid.org/0000-0001-8777-8883

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).