Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials
A multi-server queueing system with two types of requests and preemptive priority of one type is considered as a model of a cell of a cognitive radio system under practical suggestions about the arrival flows. A hysteresis type strategy for server reservation is suggested to mitigate the effect of i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/20/3747 |
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| author | Alexander Dudin Sergey Dudin Rosanna Manzo Luigi Rarità |
| author_facet | Alexander Dudin Sergey Dudin Rosanna Manzo Luigi Rarità |
| author_sort | Alexander Dudin |
| collection | DOAJ |
| description | A multi-server queueing system with two types of requests and preemptive priority of one type is considered as a model of a cell of a cognitive radio system under practical suggestions about the arrival flows. A hysteresis type strategy for server reservation is suggested to mitigate the effect of interruption of service of low priority requests. Under the arbitrarily fixed values of the sets of the thresholds defining this strategy, the behavior of the system is described by a level-dependent multi-dimensional Markov chain. Formulas for computation of values of performance characteristics of the system are derived. Numerical examples illustrating the dependence of the main performance characteristics on the thresholds defining the strategy of control and the numerical solution of the problem of the optimal choice of the thresholds are reported. |
| first_indexed | 2024-03-09T09:45:40Z |
| format | Article |
| id | doaj.art-492e40ac2f3946d5806d02609179073b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:45:40Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-492e40ac2f3946d5806d02609179073b2023-12-02T00:35:56ZengMDPI AGMathematics2227-73902022-10-011020374710.3390/math10203747Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and RetrialsAlexander Dudin0Sergey Dudin1Rosanna Manzo2Luigi Rarità3Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., 220030 Minsk, BelarusDepartment of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., 220030 Minsk, BelarusDepartment of Information and Electrical Engineering and Applied Mathematics, University of Salerno, Via Giovanni Paolo II, 132, Fisciano, 84084 Salerno, ItalyDipartimento di Scienze Aziendali—Management and Innovation Systems, University of Salerno, Via Giovanni Paolo II, 132, Fisciano, 84084 Salerno, ItalyA multi-server queueing system with two types of requests and preemptive priority of one type is considered as a model of a cell of a cognitive radio system under practical suggestions about the arrival flows. A hysteresis type strategy for server reservation is suggested to mitigate the effect of interruption of service of low priority requests. Under the arbitrarily fixed values of the sets of the thresholds defining this strategy, the behavior of the system is described by a level-dependent multi-dimensional Markov chain. Formulas for computation of values of performance characteristics of the system are derived. Numerical examples illustrating the dependence of the main performance characteristics on the thresholds defining the strategy of control and the numerical solution of the problem of the optimal choice of the thresholds are reported.https://www.mdpi.com/2227-7390/10/20/3747cognitive radiomulti-server queueing systempriorityretrialsserver reservationhysteresis strategy |
| spellingShingle | Alexander Dudin Sergey Dudin Rosanna Manzo Luigi Rarità Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials Mathematics cognitive radio multi-server queueing system priority retrials server reservation hysteresis strategy |
| title | Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials |
| title_full | Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials |
| title_fullStr | Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials |
| title_full_unstemmed | Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials |
| title_short | Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials |
| title_sort | analysis of multi server priority queueing system with hysteresis strategy of server reservation and retrials |
| topic | cognitive radio multi-server queueing system priority retrials server reservation hysteresis strategy |
| url | https://www.mdpi.com/2227-7390/10/20/3747 |
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