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JOURNALS // Avtomatika i Telemekhanika

Avtomat. i Telemekh., 2017, Issue 8, Pages 3–59 (Mi at14562)

Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks
V. M. Vishnevskii, A. N. Dudin

This publication is cited in the following articles:
  1. Alexander N. Dudin, Olga S. Dudina, Sergei A. Dudin, Agassi Melikov, “A Dual Tandem Queue as a Model of a Pick-Up Point with Batch Receipt and Issue of Parcels”, Mathematics, 13:3 (2025), 488  crossref
  2. Alexander Dudin, Olga Dudina, Communications in Computer and Information Science, 2472, Information Technologies and Mathematical Modelling. Queueing Theory and Related Fields, 2025, 54  crossref
  3. A. N. Dudin, “Upravlenie priemom zakazov v sisteme dostavki tovarov s uchetom konechnoi vmestimosti sklada v punkte vydachi posylok”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 1 (2025), 68–78  mathnet
  4. Tatiana Rusilko, Dmitry Salnikov, “Asymptotic Analysis of a Closed Queueing Network in a Markov Random Environment”, Oper. Res. Forum, 6:4 (2025)  crossref
  5. Andrzej Chydzinski, Blazej Adamczyk, “Response Time of Queueing Mechanisms”, Symmetry, 16:3 (2024), 271  crossref
  6. Andrzej Chydzinski, “Output Stream from the AQM Queue with BMAP Arrivals”, JSAN, 13:1 (2024), 4  crossref
  7. Seokjun Lee, Alexander Dudin, Olga Dudina, Chesoong Kim, “Analysis of a priority queueing system with the enhanced fairness of servers scheduling”, J Ambient Intell Human Comput, 15:1 (2024), 465  crossref
  8. Naima Hamadouche, “The M/M/S/M+ Queuing System with Clients Abandonment”, J Indian Soc Probab Stat, 2024  crossref
  9. Naiyu Wang, Xuan Li, Zhitao Guan, Shuai Yuan, “FedStream: A Federated Learning Framework on Heterogeneous Streaming Data for Next-Generation Traffic Analysis”, IEEE Trans. Netw. Sci. Eng., 11:3 (2024), 2485  crossref
  10. Raghavendran. R, V. Vidhya, “Single server queuing model of Markov modulated bursty arrival with service following phase type distributions for underlay and overlay customers”, Ain Shams Engineering Journal, 15:8 (2024), 102825  crossref
  11. Alexander Dudin, Olga Dudina, Communications in Computer and Information Science, 2163, Information Technologies and Mathematical Modelling. Queueing Theory and Applications, 2024, 257  crossref
  12. V. M. Vishnevsky, A. A. Larionov, A. A. Mukhtarov, A. M. Sokolov, “Investigation of tandem queuing systems using machine learning methods”, Control Sciences, 2024, no. 4, 10–21  mathnet  crossref  crossref
  13. R. V. Razumchik, A. S. Rumyantsev, R. M. Garimella, “Veroyatnostnaya model dlya otsenki kharakteristik proizvoditelnosti markovskoi modeli superkompyutera”, Inform. i ee primen., 17:2 (2023), 62–70  mathnet  crossref
  14. K. A. Vytovtov, E. A. Barabanova, G. K. Vytovtov, N. A. Antonov, “Matematicheskaya model rascheta i analiza kharakteristik opticheskogo kommutatora v perekhodnom rezhime”, Vestn. Astrakhan. gos. tekhn. un-ta. Ser. upravlenie, vychisl. tekhn. inform., 2023, no. 3, 116–125  mathnet  crossref
  15. I. A. Usov, Ya. A. Satin, A. I. Zeifman, “O skorosti skhodimosti i predelnykh kharakteristikakh dlya odnogo obobschennogo protsessa rozhdeniya i gibeli”, Inform. i ee primen., 17:3 (2023), 49–57  mathnet  crossref
  16. Konstantin Samouylov, Olga Dudina, Alexander Dudin, “Analysis of Multi-Server Queueing System with Flexible Priorities”, Mathematics, 11:4 (2023), 1040  crossref
  17. S. V. Rozhkova, E. Yu. Titarenko, Communications in Computer and Information Science, 1803, Information Technologies and Mathematical Modelling. Queueing Theory and Applications, 2023, 162  crossref
  18. Gang Chen, Li Xia, Zhaoyu Jiang, Xi Peng, Huiying Xu, “A two-class MAP/PH/1 weighted fair queueing system and its application to telecommunications”, J Ambient Intell Human Comput, 14:12 (2023), 16361  crossref
  19. A. N. Dudin, S. A. Dudin, O. S. Dudina, “Randomized Threshold Strategy for Providing Flexible Priority in Multi-Server Queueing System with a Marked Markov Arrival Process and Phase-Type Distribution of Service Time”, Mathematics, 11:12 (2023), 2669  crossref
  20. Sergei A. Dudin, Olga S. Dudina, Olga I. Kostyukova, “Analysis of a Queuing System with Possibility of Waiting Customers Jockeying between Two Groups of Servers”, Mathematics, 11:6 (2023), 1475  crossref
  21. Ciro D'apice, Maria Pia D'arienzo, Alexander Dudin, Rosanna Manzo, “Admission Control in Priority Queueing System With Servers Reservation and Temporal Blocking Admission of Low Priority Users”, IEEE Access, 11 (2023), 44425  crossref
  22. Anatoly Nazarov, Alexander Moiseev, Ivan Lapatin, Svetlana Paul, Olga Lizyura, Pavel Pristupa, Xi Peng, Li Chen, Bo Bai, Communications in Computer and Information Science, 1803, Information Technologies and Mathematical Modelling. Queueing Theory and Applications, 2023, 116  crossref
  23. B. Ya. Lichtzinder, A. Yu. Privalov, V. I. Moiseev, “Batch poissonian arrival models of multiservice network traffic”, Problems Inform. Transmission, 59:1 (2023), 63–70  mathnet  crossref  crossref
  24. Yuting Wang, Xiaofan Han, Shunfu Jin, “MAP based modeling method and performance study of a task offloading scheme with time-correlated traffic and VM repair in MEC systems”, Wireless Netw, 29:1 (2023), 47  crossref
  25. Sergei Dudin, Olga Dudina, “Analysis of a Multi-Server Queue with Group Service and Service Time Dependent on the Size of a Group as a Model of a Delivery System”, Mathematics, 11:22 (2023), 4587  crossref
  26. Alexander Dudin, Valentina Klimenok, “Analysis of MAP/G/1 queue with inventory as the model of the node of wireless sensor network with energy harvesting”, Ann Oper Res, 331:2 (2023), 839  crossref
  27. B. Ya. Lichtzinder, A. Yu. Privalov, “Generalization of formulas for queue length moments under nonordinary Poissonian arrivals for batch queues in telecommunication systems”, Problems Inform. Transmission, 59:4 (2023), 243–248  mathnet  crossref  crossref
  28. P. V. Antonova, “The development of a multi-channel mass service system with limited queuing using the parallel library of the .NET platform”, Comp. nanotechnol., 10:3 (2023), 44–50  mathnet  mathnet  crossref
  29. Dudin A., Dudina O., Dudin S., Gaidamaka Yu., “Self-Service System With Rating Dependent Arrivals”, Mathematics, 10:3 (2022), 297  crossref  isi
  30. B.J. Likhttsinder, I. A. Blatov, E. V. Kitaeva, “On estimates of the mean queue length for single-channel queuing systems in terms of statistical unconditional second-order moments of the modified arrival flow”, Autom. Remote Control, 83:1 (2022), 92–105  mathnet  crossref  crossref  mathscinet  isi
  31. Gabriel Bahia De Sousa, Bruna Stamer Janikian, Olivia O'Hearn, Saachi Mehrotra, 2022 Systems and Information Engineering Design Symposium (SIEDS), 2022, 43  crossref
  32. Bin Sun, S. A. Dudin, O. S. Dudina, A. N. Dudin, “A customer service model in an adaptive-modulation mobile communication cell with allowance for random environment”, Autom. Remote Control, 82:5 (2021), 812–826  mathnet  crossref  crossref  isi  elib
  33. A. E. Mandel, V. A. Laptin, “Optimal control of queuing systems with channel switching”, Autom. Remote Control, 82:10 (2021), 1720–1729  mathnet  crossref  crossref  isi
  34. O. V. Chernoyarov, S. Dachian, Yu. A. Kutoyants, A. V. Zyulkov, “On estimation errors in optical communication and location”, Autom. Remote Control, 82:12 (2021), 2041–2075  mathnet  crossref  crossref  isi
  35. Kumar N. Gupta U.C., “Analysis of Bmap/Msp/1 Queue With Map Generated Negative Customers and Disasters”, Commun. Stat.-Theory Methods, 2021  crossref  isi  scopus
  36. B. Ya. Likhttsinder, Yu. O. Bakai, V. A. Larina, “Interval analysis of group Poisson models of video traffic streams”, 2021 Systems of Signal Synchronization, Generating and Processing in Telecommunications, Synchroinfo, IEEE, 2021  crossref  isi
  37. A. Krishnamoorthy, A. N. Joshua, “A BMAP/BMSP/1 queue with Markov dependent arrival and Markov dependent service batches”, J. Ind. Manag. Optim., 17:5 (2021), 2925–2941  crossref  isi  scopus
  38. A. Krishnamoorthy, A. N. Joshua, D. Kozyrev, “Analysis of a batch arrival, batch service queuing-inventory system with processing of inventory while on vacation”, Mathematics, 9:4 (2021), 419  crossref  isi
  39. S. McClean, “Using Markov models to characterize and predict process target compliance”, Mathematics, 9:11 (2021), 1187  crossref  isi
  40. A. Dudin, S. Dudin, V. Klimenok, Yu. Gaidamaka, “Vacation queueing model for performance evaluation of multiple access information transmission systems without transmission interruption”, Mathematics, 9:13 (2021), 1508  crossref  isi
  41. Chesoong Kim, Alexander Dudin, Sergey Dudin, Olga Dudina, Lecture Notes in Computer Science, 13144, Distributed Computer and Communication Networks: Control, Computation, Communications, 2021, 182  crossref
  42. M. Buranova, I Kartashevskiy, “Application of EM-Algorithm for Approximation of Correlated Traffic Probabilities Density by Hyperexponents”, jour, 7:4 (2021), 10  crossref
  43. M. L. Zharkov, M. M. Pavidis, “Simulation of railway marshalling yards using the methods of the queueing theory”, Nadežnostʹ, 21:3 (2021), 27  crossref
  44. Alexander Dudin, Olga Dudina, Sergey Dudin, Communications in Computer and Information Science, 1391, Information Technologies and Mathematical Modelling. Queueing Theory and Applications, 2021, 16  crossref
  45. J. H. Dshalalow, A. Merie, R. T. White, “Fluctuation analysis in parallel queues with hysteretic control”, Methodol. Comput. Appl. Probab., 22:1 (2020), 295–327  crossref  mathscinet  isi  scopus
  46. Ch. Kim, A. Dudin, O. Dudina, V. Klimenok, “Analysis of queueing system with non-preemptive time limited service and impatient customers”, Methodol. Comput. Appl. Probab., 22:2 (2020), 401–432  crossref  mathscinet  isi
  47. R. Kumar, B. S. Soodan, “Transient solution of a single server queuing model with correlated reneging using runge-kutta method”, Int. J. Math. Eng. Manag. Sci., 5:5 (2020), 886–896  crossref  isi
  48. S. Dudin, O. Dudina, K. Samouylov, A. Dudin, “Improvement of the fairness of non-preemptive priorities in the transmission of heterogeneous traffic”, Mathematics, 8:6 (2020), 929  crossref  isi  scopus
  49. V. A. Naumov, K. E. Samuilov, “O markovskikh i ratsionalnykh potokakh sluchainykh sobytii. II”, Inform. i ee primen., 14:4 (2020), 37–46  mathnet  crossref
  50. Baybulatov A.A., Promyslov V.G., 2020 IEEE 14Th International Conference on Application of Information and Communication Technologies (Aict2020), International Conference on Application of Information and Communication Technologies, IEEE, 2020  crossref  isi  scopus
  51. Blatov I. Likhttsinder B. Kitaeva E., 2020 Vi International Conference on Information Technology and Nanotechnology (IEEE Itnt-2020), ed. Kudryashov D., IEEE, 2020  crossref  isi
  52. Dudin A. Klimenok V. Vishnevsky V., “Theory of Queuing Systems With Correlated Flows”, Theory of Queuing Systems With Correlated Flows, Springer International Publishing Ag, 2020, 1–410  crossref  isi
  53. Chakravarthy S.R., “The Theory of Queuing Systems With Correlated Flows Foreword”: Dudin, AN Klimenok, VI Vishnevsky, VM, Theory of Queuing Systems With Correlated Flows, Springer International Publishing Ag, 2020, V+  isi
  54. Vyacheslav Kartashevskiy, Marina Buranova, Dinara Ergasheva, 2020 IEEE International Conference on Problems of Infocommunications. Science and Technology (PIC S&T), 2020, 845  crossref
  55. Mei Liu, “Analysis of retrial queue with heterogeneous servers and Markovian arrival process”, Informatika (Minsk), 17:1 (2020), 29  crossref
  56. Liu Mei, Alexander Dudin, Infosys Science Foundation Series, Applied Probability and Stochastic Processes, 2020, 29  crossref
  57. S. Dudin, O. Dudina, “Retrial multi-server queuing system with phf service time distribution as a model of a channel with unreliable transmission of information”, Appl. Math. Model., 65 (2019), 676–695  crossref  mathscinet  isi  scopus
  58. Ch. Kim, S. Dudin, A. Dudin, K. Samouylov, “Analysis of a semi-open queuing network with a state dependent marked Markovian arrival process, customers retrials and impatience”, Mathematics, 7:8 (2019), 715  crossref  isi  scopus
  59. O. Dudina, A. Dudin, “Optimization of queueing model with server heating and cooling”, Mathematics, 7:9 (2019), 768  crossref  isi  scopus
  60. I. Kartashevskiy, M. Buranova, “Calculation of packet jitter for correlated traffic”, Internet of Things, Smart Spaces, and Next Generation Networks and Systems, New2An 2019, Rusmart 2019, Lecture Notes in Computer Science, 11660, eds. O. Galinina, S. Andreev, S. Balandin, Y. Koucheryavy, Springer, 2019, 610–620  crossref  isi
  61. Valentina Klimenok, Chesoong Kim, V. M. Vishnevsky, Alexander Dudin, Lecture Notes in Computer Science, 11965, Distributed Computer and Communication Networks, 2019, 249  crossref
  62. Igor Kartashevskiy, Communications in Computer and Information Science, 1141, Distributed Computer and Communication Networks, 2019, 389  crossref
  63. A. N. Dudin, S. A. Dudin, O. S. Dudina, K. E. Samouylov, “Analysis of queueing model with processor sharing discipline and customers impatience”, Oper. Res. Perspect., 5 (2018), 245–255  crossref  mathscinet  isi  scopus
  64. A. N. Dudin, S. A. Dudin, V. I. Klimenok, O. S. Dudina, “Controlled queues with correlated arrival process and reserve servers for solving energy saving problems in cloud computing systems”, Proceedings of the 6th International Conference on Control and Optimization With Industrial Applications, v. I, eds. A. Fikret, B. Tamer, Baku State Univ., Inst. Applied Mathematics, 2018, 140–142  isi


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