RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENT
The paper is devoted to the mathematical models of retrial queueing systems concerning semi-Markov environment influence on the repeated calls source and services. The asymptotical average characteristics of the considered systems and deviation numbers of applications in the repeated calls source de...
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Kemerovo State University
2014-09-01
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| Series: | Вестник Кемеровского государственного университета |
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| Online Access: | https://vestnik.kemsu.ru/jour/article/view/1189 |
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doaj-2c9283002ae0461aa9050d6644c064da2020-11-25T01:32:12ZengKemerovo State UniversityВестник Кемеровского государственного университета2078-89752078-89832014-09-0103-3991061188RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENTV. A. Vavilov0Anzhero-Sudjensk Branch of Kemerovo State UniversityThe paper is devoted to the mathematical models of retrial queueing systems concerning semi-Markov environment influence on the repeated calls source and services. The asymptotical average characteristics of the considered systems and deviation numbers of applications in the repeated calls source depending on their asymptotical average are investigated. The author provides the global approximationof the process of changing applications number in the repeated calls source, and investigates the density of distribution of the probabilities of the process values.https://vestnik.kemsu.ru/jour/article/view/1189retrial queueing systemsrandom environmentsource of repeated callsprobability characteristics of mass service systemmethod of asymptotic analysis |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
V. A. Vavilov |
| spellingShingle |
V. A. Vavilov RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENT Вестник Кемеровского государственного университета retrial queueing systems random environment source of repeated calls probability characteristics of mass service system method of asymptotic analysis |
| author_facet |
V. A. Vavilov |
| author_sort |
V. A. Vavilov |
| title |
RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENT |
| title_short |
RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENT |
| title_full |
RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENT |
| title_fullStr |
RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENT |
| title_full_unstemmed |
RESEARCH OF THE RETRIAL QUEUEING SYSTEMS OPERATING IN SEMI-MARKOV ENVIRONMENT |
| title_sort |
research of the retrial queueing systems operating in semi-markov environment |
| publisher |
Kemerovo State University |
| series |
Вестник Кемеровского государственного университета |
| issn |
2078-8975 2078-8983 |
| publishDate |
2014-09-01 |
| description |
The paper is devoted to the mathematical models of retrial queueing systems concerning semi-Markov environment influence on the repeated calls source and services. The asymptotical average characteristics of the considered systems and deviation numbers of applications in the repeated calls source depending on their asymptotical average are investigated. The author provides the global approximationof the process of changing applications number in the repeated calls source, and investigates the density of distribution of the probabilities of the process values. |
| topic |
retrial queueing systems random environment source of repeated calls probability characteristics of mass service system method of asymptotic analysis |
| url |
https://vestnik.kemsu.ru/jour/article/view/1189 |
| work_keys_str_mv |
AT vavavilov researchoftheretrialqueueingsystemsoperatinginsemimarkovenvironment |
| _version_ |
1725082601120595968 |