Статья: ИССЛЕДОВАНИЕ МНОГОФАЗНЫХ СИСТЕМ МАССОВОГО ОБСЛУЖИВАНИЯ С ПОМОЩЬЮ МЕТОДОВ МАШИННОГО ОБУЧЕНИЯ (2024)

1. Khayyati, S., Tan, B. Supervised-Learning-Based Approximation Method for Multi-server Queueing Networks under Different Service Disciplines with Correlated Interarrival and Service Times // International Journal of Production Research. - 2022. - Vol. 60, no. 17. - P. 5176-5200. -. DOI: 10.1080/00207543.2021.1951448 EDN: KDGKXE

2. Kumar, B.K., Sankar, R., Krishnan, R.N., Rukmani, R. Performance Analysis of Multi-processor Two-Stage Tandem Call Center Retrial Queues with Non-Reliable Processors // Methodology and Computing in Applied Probability. - 2022. - Vol. 24, no. 1. - P. 95-142. -. DOI: 10.1007/s11009-020-09842-6 EDN: YPMHRC

3. Oblakova, A., Al Hanbali, A., Boucherie, R.J., et al. An Analytical Model for a Tandem of Two Traffic-Light Intersections under Semi-actuated and Fixed Control // Transportation Research Interdisciplinary Perspectives. - 2022. - Vol. 16, no. 3. - Art. no. 100715. -. DOI: 10.1016/j.trip.2022.100715 EDN: BSMXTA

4. Rovetto, C., Cruz, E., Nuñez, I., et al. Minimizing Intersection Waiting Time: Proposal of a Queue Network Model Using Kendall’s Notation in Panama City // Applied Sciences. - 2023. - Vol. 13, no. 18. - Art. no. 10030. - DOI: https://doi.org/3390/app131810030.
5. Pershin, O.Y., Mukhtarov, A.A., Vishnevsky, V.M., Larionov, A.A. Optimal Placement of Base Stations in Integrated Design of Wireless Networks // Programming and Computer Software. - 2023. - Vol. 49, suppl. 2. - P. S82-S90. -. DOI: 10.1134/S0361768823100055 EDN: KJBSYB

6. Vishnevsky, V., Krishnamoorthy, A., Kozyrev, D., Larionov, A. Review of Methodology and Design of Broadband Wireless Networks with Linear Topology // Indian Journal of Pure and Applied Mathematics. - 2016. - Vol. 47, no. 2. - P. 329-342. -. DOI: 10.1007/s13226-016-0190-7 EDN: WPIDCT

7. Gnedenko, B.W., König, D. Handbuch der Bedienungstheorie II. - Berlin: De Gruyter, 1984. - 608 p. - DOI: https://doi.org/1515/9783112614747.
8. Neuts, M.F. Two Queues in Series with a Finite, Intermediate Waitingroom // Journal of Applied Probability. - 1968. - Vol. 5, no. 1. - P. 123-142. -. DOI: 10.2307/3212081

9. Dieleman, N.A., Berkhout, J., and Heidergott, B. A Neural Network Approach to Performance Analysis of Tandem Lines: The Value of Analytical Knowledge // Computers and Operations Research. - 2023. - Vol. 152, no. 3. - Art. no. 106124. -. DOI: 10.1016/j.cor.2022.106124 EDN: MOASSD

10. Dudin, S.A., Dudin, A.N., Dudina, O.S., Chakravarthy, S.R. Analysis of a Tandem Queuing System with Blocking and Group Service in the Second Node // International Journal of Systems Science: Operations and Logistics. - 2023. - Vol. 10, no. 1. - Art. no. 2235270. -. DOI: 10.1080/23302674.2023.2235270 EDN: HVVAEG

11. Dudin, S.A., Dudina, O.S., Dudin, A.N. Analysis of Tandem Queue with Multi-Server Stages and Group Service at the Second Stage // Axioms. - 2024. - Vol. 13, no. 4. - art. no. 214. -. DOI: 10.3390/axioms13040214 EDN: ODFLQX

12. Bocharov, P.P., Manzo, R., Pechinkin, A.V. Analysis of a Two-Phase Queueing System with a Markov Arrival Process and Losses // Journal of Mathematical Sciences. - 2005. - Vol. 131, no. 3. - Р. 5606-5613. -. DOI: 10.1007/s10958-005-0432-4 EDN: LJEBTP

13. Kim, C.S., Klimenok, V., Taramin, O. A Tandem Retrial Queueing System with Two Markovian Flows and Reservation of Channels // Computers and Operations Research. - 2010. - Vol. 37, no. 7. - P. 1238-1246. -. DOI: 10.1016/j.cor.2009.03.030 EDN: XKJABL

14. Kim, C., Klimenok, V.I., Dudin, A.N. Priority Tandem Aueueing System with Retrials and Reservation of Channels as a Model of Call Center // Computers and Industrial Engineering. - 2016. - Vol. 96. - P. 61-71. -. DOI: 10.1016/j.cie.2016.03.012 EDN: WPQWEF

15. Klimenok, V., Breuer, L., Tsarenkov, G., Dudin, A. The BMAP/G/1/->·/PH/1/M Tandem Queue with Losses // Performance Evaluation. - 2005. - Vol. 61, no. 1. - P. 17-40. -. DOI: 10.1016/j.peva.2004.09.001 EDN: XJTBTN

16. Lian, Z., Liu, L. A Tandem Network with MAP Inputs // Operations Research Letters. - 2008. - Vol. 36, no. 2. - P. 189-195. -. DOI: 10.1016/j.orl.2007.04.004

17. Vishnevskii, V.M., Dudin, A.N. Queueing Systems with Correlated Arrival Flows and Their Applications to Modeling Telecommunication Networks // Automation and Remote Control. - 2017. - Vol. 78, no. 8. - P. 1361-1403. -. DOI: 10.1134/S000511791708001X EDN: XNTWBH

18. Dudin, A.N., Klimenok, V.I., Vishnevsky, V.M. The Theory of Queuing Systems with Correlated Flows // Cham: Springer, 2020. - 410 p.

19. Bruell, S.C., Balbo, G., Afshari, P.V. Mean Value Analysis of Mixed, Multiple Class BCMP Networks with Load Dependent Service Stations // Performance Evaluation. - 1984. - Vol. 4, iss. 4. - P. 241-260. -. DOI: 10.1016/0166-5316(84)90010-5

20. Vishnevsky, V., Klimenok, V., Sokolov, A., Larionov, A. Performance Evaluation of the Priority Multi-server System MMAP/PH/M/N Using Machine Learning Mmethods // Mathematics. - 2021. - Vol. 9, no. 24. - Art. no. 3236. -. DOI: 10.3390/math9243236 EDN: XBJENK

21. Klimenok, V., Dudin, A., Vishnevsky, V. On the Stationary Distribution of Tandem Queue Consisting of a Finite Number of Stations // Communications in Computer and Information Science. - 2012. - Vol. 291. - P. 383-392. -. DOI: 10.1007/978-3-642-31217-5_40 EDN: RGCUIV

22. Palomo, S., Pender, J. Learning the Tandem Network Lindley Recursion // Proceedings of 2021 Winter Simulation Conference (WSC). - Phoenix, 2021. - P. 1-12. DOI: 10.1109/WSC52266.2021.9715530

23. Rabta, B. A Review of Decomposition Methods for Open Queueing Networks // Rapid Modelling for Increasing Competitiveness. Ed. by G. Reiner - London: Springer2009. - P. 25-42. -. DOI: 10.1007/978-1-84882-748-6_3

24. Vishnevsky, V., Larionov, A., Roman, I., Semenova, O. Estimation of IEEE 802.11 DCF Access Performance in Wireless Networks with Linear Topology Using PH Service Time Approximations and MAP Input // Proceedings of 11th IEEE International Conference on Application of Information and Communication Technologies. - Moscow, 2017. - P. 1-5. DOI: 10.1109/ICAICT.2017.8687247

25. Gorbunova, A.V., Vishnevsky, V.M., Larionov, A.A. Evaluation of the End-to-End Delay of a Multiphase Queuing System Using Artificial Neural Networks // Lecture Notes in Computer Science. - Cham: Springer, 2021. - Vol. 12563. - P 631-642. -. DOI: 10.1007/978-3-030-66471-8_48

26. Kudou, T., Nii, S., Okuda, T. A Performance Evaluation of Tandem Queueing Systems by Machine Learning // Proceedings of 2022 IEEE International Conference on Consumer Electronics. - Taiwan, 2022. - P. 389-390. -. DOI: 10.1109/ICCE-Taiwan55306.2022.9869030

27. Kudou, T., Okuda, T. A Time Series Analysis of Single Server Queueing Systems by Using Machine Learning // Proceedings of 2023 International Conference on Consumer Electronics. - Taiwan, 2023. - P. 327-328. -. DOI: 10.1109/ICCE-Taiwan58799.2023.10226861

28. Вишневский В.М. Теоретические основы проектирования компьютерных сетей. - М: Техносфера, 2003. - 512 с.

29. Vishnevsky, V.M., Klimenok, V.I., Sokolov, A.M., Larionov, A.A. Investigation of the Fork-Join System with Markovian Arrival Process Arrivals and Phase-Type Service Time Distribution Using Machine Learning Methods // Mathematics. -2024. - Vol. 12, no. 5. - Art. no. 659. -. DOI: 10.3390/math12050659 EDN: CWSYOV

30. Efrosinin, D., Vishnevsky, V., Stepanova, N. Optimal Scheduling in General Multi-Queue System by Combining Simulation and Neural Network Techniques // Sensors. - 2023. - Vol. 23, no. 12. - Art. no. 5479. - DOI: https://doi.org/3390/s23125479. EDN: DXEMSP

31. Telek, M., Heindl, A. Matching Moments For Acyclic Discrete And Continuous Phase-Type Distributions Of Second Order // International Journal of Simulation Systems, Science and Technology. - 2002. - Vol. 3, no. 3. - P. 47-57.

32. Johnson, M.A., Taaffe, M.R. Matching Moments to Phase Distributions: Mixtures of Erlang Distributions of Common Order // Communications in Statistics. Stochastic Models. - 1989. - Vol. 5, no. 4. - P. 711-743. - DOI: https://doi.org/1080/15326348908807131.

33. Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J. Classification and Regression Trees. - New York: Chapman and Hall, 1984. - 368 p. - DOI: https://doi.org/10.1201.

34. Demidova, L.A., Usachev, P.O. Development and Approbation of the Improved CART Algorithm Version // Journal of Phy-sics: Conference Series. - 2020. - Vol. 1479. - Art. no. 012085. -. DOI: 10.1088/1742-6596/1479/1/012085 EDN: KEBDEP

35. Gordon, A.D., Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J. Classification and Regression Trees // Biometrics. - 1984. - Vol. 40, no. 3. - P. 874. -. DOI: 10.2307/2530946

36. Loh, W.Y. Classification and Regression Trees // Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery. - 2011. - Vol. 1, no. 1. - P. 14-23. -. DOI: 10.1002/widm.8

37. Friedman, J.H. Stochastic Gradient Boosting // Computational Statistics and Data Analysis. - 2002. - Vol. 38, no. 4. - P. 367-378. -. DOI: 10.1016/S0167-9473(01)00065-2

38. Kingma, D.P., Ba, J.L. Adam: A Method for Stochastic Pptimization // arXiv:1412.6980. - 2014. - URL: http://arxiv.org/abs/1412.6980.