Frequentist Inference on Traffic Intensity of M/M/1 Queuing System
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....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wrocław University of Science and Technology
2023-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | https://ord.pwr.edu.pl/assets/papers_archive/ord2023vol33no1_2.pdf |
| _version_ | 1797660413495607296 |
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| author | Kaustav Dutta Amit Choudhury |
| author_facet | Kaustav Dutta Amit Choudhury |
| author_sort | Kaustav Dutta |
| collection | DOAJ |
| description | 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. (original abstract) |
| first_indexed | 2024-03-11T18:30:30Z |
| format | Article |
| id | doaj.art-f3625d85d2c044fdb5e95749343df601 |
| institution | Directory Open Access Journal |
| issn | 2081-8858 2391-6060 |
| language | English |
| last_indexed | 2024-03-11T18:30:30Z |
| publishDate | 2023-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj.art-f3625d85d2c044fdb5e95749343df6012023-10-13T12:11:30ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602023-01-01vol. 33no. 12134171667921Frequentist Inference on Traffic Intensity of M/M/1 Queuing SystemKaustav Dutta0Amit Choudhury1Gauhati University, Guwahati, Assam, IndiaGauhati University, Guwahati, Assam, IndiaWhen 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. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2023vol33no1_2.pdf |
| spellingShingle | Kaustav Dutta Amit Choudhury Frequentist Inference on Traffic Intensity of M/M/1 Queuing System Operations Research and Decisions |
| title | Frequentist Inference on Traffic Intensity of M/M/1 Queuing System |
| title_full | Frequentist Inference on Traffic Intensity of M/M/1 Queuing System |
| title_fullStr | Frequentist Inference on Traffic Intensity of M/M/1 Queuing System |
| title_full_unstemmed | Frequentist Inference on Traffic Intensity of M/M/1 Queuing System |
| title_short | Frequentist Inference on Traffic Intensity of M/M/1 Queuing System |
| title_sort | frequentist inference on traffic intensity of m m 1 queuing system |
| url | https://ord.pwr.edu.pl/assets/papers_archive/ord2023vol33no1_2.pdf |
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