Polling Systems and Their Application to Telecommunication Networks
The paper presents a review of papers on stochastic polling systems published in 2007–2020. Due to the applicability of stochastic polling models, the researchers face new and more complicated polling models. Stochastic polling models are effectively used for performance evaluation, design and optim...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/2/117 |
| _version_ | 1797415511923884032 |
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| author | Vladimir Vishnevsky Olga Semenova |
| author_facet | Vladimir Vishnevsky Olga Semenova |
| author_sort | Vladimir Vishnevsky |
| collection | DOAJ |
| description | The paper presents a review of papers on stochastic polling systems published in 2007–2020. Due to the applicability of stochastic polling models, the researchers face new and more complicated polling models. Stochastic polling models are effectively used for performance evaluation, design and optimization of telecommunication systems and networks, transport systems and road management systems, traffic, production systems and inventory management systems. In the review, we separately discuss the results for two-queue systems as a special case of polling systems. Then we discuss new and already known methods for polling system analysis including the mean value analysis and its application to systems with heavy load to approximate the performance characteristics. We also present the results concerning the specifics in polling models: a polling order, service disciplines, methods to queue or to group arriving customers, and a feedback in polling systems. The new direction in the polling system models is an investigation of how the customer service order within a queue affects the performance characteristics. The results on polling systems with correlated arrivals (MAP, BMAP, and the group Poisson arrivals simultaneously to all queues) are also considered. We briefly discuss the results on multi-server, non-discrete polling systems and application of polling models in various fields. |
| first_indexed | 2024-03-09T05:49:44Z |
| format | Article |
| id | doaj.art-eeb3a3130a814341a28f3ea77e61a605 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T05:49:44Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-eeb3a3130a814341a28f3ea77e61a6052023-12-03T12:18:36ZengMDPI AGMathematics2227-73902021-01-019211710.3390/math9020117Polling Systems and Their Application to Telecommunication NetworksVladimir Vishnevsky0Olga Semenova1Institute of Control Sciences of Russian Academy of Sciences, 117997 Moscow, RussiaInstitute of Control Sciences of Russian Academy of Sciences, 117997 Moscow, RussiaThe paper presents a review of papers on stochastic polling systems published in 2007–2020. Due to the applicability of stochastic polling models, the researchers face new and more complicated polling models. Stochastic polling models are effectively used for performance evaluation, design and optimization of telecommunication systems and networks, transport systems and road management systems, traffic, production systems and inventory management systems. In the review, we separately discuss the results for two-queue systems as a special case of polling systems. Then we discuss new and already known methods for polling system analysis including the mean value analysis and its application to systems with heavy load to approximate the performance characteristics. We also present the results concerning the specifics in polling models: a polling order, service disciplines, methods to queue or to group arriving customers, and a feedback in polling systems. The new direction in the polling system models is an investigation of how the customer service order within a queue affects the performance characteristics. The results on polling systems with correlated arrivals (MAP, BMAP, and the group Poisson arrivals simultaneously to all queues) are also considered. We briefly discuss the results on multi-server, non-discrete polling systems and application of polling models in various fields.https://www.mdpi.com/2227-7390/9/2/117polling systemspolling orderqueue service disciplinemean value analysisprobability-generating function methodbroadband wireless network |
| spellingShingle | Vladimir Vishnevsky Olga Semenova Polling Systems and Their Application to Telecommunication Networks Mathematics polling systems polling order queue service discipline mean value analysis probability-generating function method broadband wireless network |
| title | Polling Systems and Their Application to Telecommunication Networks |
| title_full | Polling Systems and Their Application to Telecommunication Networks |
| title_fullStr | Polling Systems and Their Application to Telecommunication Networks |
| title_full_unstemmed | Polling Systems and Their Application to Telecommunication Networks |
| title_short | Polling Systems and Their Application to Telecommunication Networks |
| title_sort | polling systems and their application to telecommunication networks |
| topic | polling systems polling order queue service discipline mean value analysis probability-generating function method broadband wireless network |
| url | https://www.mdpi.com/2227-7390/9/2/117 |
| work_keys_str_mv | AT vladimirvishnevsky pollingsystemsandtheirapplicationtotelecommunicationnetworks AT olgasemenova pollingsystemsandtheirapplicationtotelecommunicationnetworks |