Analysis of the Polling System with Two Markovian Arrival Flows, Finite Buffers, Gated Service and Phase-Type Distribution of Service and Switching Times

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Information Technologies and Mathematical Modelling: Queueing Theory and Applications: 20th International Conference, ITMM 2021, Named after A.F. Terpugov: Revised Selected Papers. 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Vishnevsky, V., Semenova, O.: Polling systems and their application to telecommunication networks. Mathematics 9(117) (2021). https://doi.org/10.3390/math9020117, DOI: 10.3390/math9020117 1 10.3390/math9020117 false true Reference 38587272 /api/reference/38587272 2. Takagi, H.: Queuing analysis of polling models: progress in 1990–1994. In: Dshalalow, J.H. (ed.) Frontiers in Queueing: Models, Methods and Problems, pp. 119–146. CRC Press, Boca Raton (1997) 2 false true Reference 38587273 /api/reference/38587273 3. Perel, E., Yechiali, U.: Two-queue polling systems with switching policy based on the queue that is not being served. Stoch. Model. 33(3), 430–450 (2017), DOI: 10.1080/15326349.2017.1312446 3 10.1080/15326349.2017.1312446 false true Reference 38587274 /api/reference/38587274 4. Vishnevsky, V.M., Dudin, A.N., Semenova, O.V., Klimenok, V.I.: Performance analysis of the BMAP/G/1 queue with gated servicing and adaptive vacations. Perform. Eval. 68, 446–462 (2011), DOI: 10.1016/j.peva.2011.02.003 4 10.1016/j.peva.2011.02.003 false true Reference 38587275 /api/reference/38587275 5. Vishnevsky, V., Dudin, A.N., Klimenok, V.I., Semenova, O.: Approximate method to study M/G/1-type polling system with adaptive polling mechanism. Qual. Technol. Quant. Manag. 9(2), 211–228 (2012), DOI: 10.1080/16843703.2012.11673287 5 10.1080/16843703.2012.11673287 false true Reference 38587276 /api/reference/38587276 6. Levy, H.: Analysis of cyclic polling systems with binomial gated service. In: Hasegawa, T., Takagi, H., Takahashi, Y. (eds.) Performance of Distributed and Parallel Systems, pp. 127–139. North-Holland, Amsterdam (1989) 6 false true Reference 38587277 /api/reference/38587277 7. Altman, E., Konstantopoulos, P., Liu, Z.: Stability, monotonicity and invariant quantities in general polling systems. Queueing Syst. 11, 35–57 (1992), DOI: 10.1007/BF01159286 7 10.1007/BF01159286 false true Reference 38587278 /api/reference/38587278 8. Altman, E.: Gated polling with stationary ergodic walking times, Markovian routing and random feedback. Ann. Oper. Res. 198, 145–164 (2012), DOI: 10.1007/s10479-012-1093-6 8 10.1007/s10479-012-1093-6 false true Reference 38587279 /api/reference/38587279 9. Weiss, T., Hillenbrand, J., Krohn, A., Jondral, F.K.: Mutual interference in OFDM-based spectrum pooling systems. IEEE (2004) 9 false true Reference 38587280 /api/reference/38587280 10. Ohanissian, A.: Systems and methods for dynamic currency pooling interfaces. IEEE (2018) 10 false true Reference 38587281 /api/reference/38587281 11. Albrecht, F.: Resource pooling and sharing using distributed ledger systems. IEEE (2017) 11 false true Reference 38587282 /api/reference/38587282 12. Chakravarthy, S.R.: Analysis of a priority polling system with group services. Stoch. Model. 14, 25–49 (1998) 12 false true Reference 38587283 /api/reference/38587283 13. Almasi, B., Sztrik, J.: A queueing model for a nonreliable multiterminal system with polling scheduling. J. Math. Sci. 92, 3974–3981 (1998), DOI: 10.1007/BF02432330 13 10.1007/BF02432330 false true Reference 38587284 /api/reference/38587284 14. Lucantoni, D.M.: New results on the single server queue with a batch Markovian arrival process. Commun. Stat. Stoch. Models 7(1), 1–46 (1991), DOI: 10.1080/15326349108807174 14 10.1080/15326349108807174 false true Reference 38587285 /api/reference/38587285 15. Chakravarthy, S.: The batch Markovian arrival process: a review and future work. Adv. Probab. Theory Stoch. Process. 1, 21–39 (2001) 15 false true Reference 38587286 /api/reference/38587286 16. Dudin, A.N., Klimenok, V.I., Vishnevsky, V.M.: The Theory of Queuing Systems with Correlated Flows. Springer, Heidelberg (2020). ISBN 978-3-030-32072-0, DOI: 10.1007/978-3-030-32072-0 16 10.1007/978-3-030-32072-0 false true Reference 38587287 /api/reference/38587287 17. Neuts, M.F.: Matrix-Geometric Solutions in Stochastic Models. The Johns Hopkins University Press, Baltimore (1981) 17 false true Reference 38587288 /api/reference/38587288 18. Graham, A.: Kronecker Products and Matrix Calculus with Applications. Ellis Horwood, Cichester (1981) 18 false true Reference 38587289 /api/reference/38587289 19. Dudin, S.A., Dudina, O.S.: Call center operation model as a MAP/PH/N/R-N system with impatient customers. Probl. Inf. Transm. 47(4), 364–377 (2011), DOI: 10.1134/S0032946011040053 19 10.1134/S0032946011040053 false true /api/publication/33652125 Dudin Alexander et al. Analysis of the Polling System with Two Markovian Arrival Flows, Finite Buffers, Gated Service and Phase-Type Distribution of Service and Switching Times. (2022) Megjelent: Information Technologies and Mathematical Modelling: Queueing Theory and Applications pp. 1-15<div class="BookChapter Publication long-list"> <div class="authors"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" >Dudin Alexander </span> ;    <span class="author-name" >Sinyugina Yuliya </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;33652125" target="_blank">Analysis of the Polling System with Two Markovian Arrival Flows, Finite Buffers, Gated Service and Phase-Type Distribution of Service and Switching Times</a></div> <div class="InBook"><div class="chapter-in">In:</div> <div class="authors"> <div class="autype autype-1"> <span class="author-name" >Moiseev Alexander </span> ;    <span class="author-name" >Nazarov Anatoly </span> ;    <span class="author-name" >Dudin Alexander </span> (szerk.) </div> </div> <div class="booktitle"><a href="/gui2/?mode=browse&params=publication;33024088" target="_blank">Information Technologies and Mathematical Modelling: Queueing Theory and Applications : 20th International Conference, ITMM 2021, Named after A.F. Terpugov: Revised Selected Papers </a></div> <div class="conference"> Konferencia helye, ideje: <span class="location">Tomsk, Oroszország <span class="conference-date">2021.12.01. - 2021.12.05.</span> </div> <span class="publishedAt">Cham: <span class="publishers">Springer Switzerland</span>, <span class="page"> pp 1-15 Paper Chapter 1. </span> <span class="year">(2022)</span> ( <span class="seriesTitle">Communications in Computer and Information Science</span> <span class="issn">1865-0929</span> <span class="issn">1865-0937</span> <span class="seriesVolume">; 1605</span>) </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1007/978-3-031-09331-9_1" target="_blank" href="https://doi.org/10.1007/978-3-031-09331-9_1"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="https://link.springer.com/10.1007/978-3-031-09331-9_1" target="_blank" href="https://link.springer.com/10.1007/978-3-031-09331-9_1"> Egyéb URL </a> </span> </span> <span class="bookchapter-ids">Befoglaló link(ek):</span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1007/978-3-031-09331-9" target="_blank" href="https://doi.org/10.1007/978-3-031-09331-9"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <span class="isbnOrIssn"> ISBN: </span> <a style="color:black" title="9783031093302" target="_blank" href="https://www.worldcat.org/search?q=isbn%3A9783031093302"> 9783031093302 </a> </span> <span class="id identifier oa_none" title="none"> <span class="isbnOrIssn"> ISBN: </span> <a style="color:black" title="9783031093319" target="_blank" href="https://www.worldcat.org/search?q=isbn%3A9783031093319"> 9783031093319 </a> </span> </span> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;33652125&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 1 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 33652125</span> | <span class="status-data status-APPROVED"> Nyilvános </span> <span class="long-book-mtid">Befoglaló: 33024088</span> Idéző | <span class="type-subtype">Könyvrészlet ( Könyvfejezet ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Utolsó módosítás: 2023.02.21. 23:28 Sztrik János (Sorbanállási elmélet) </div> </div> </div>