Mathematical theory of teletraffic and its application to the analysis of multiservice communication of next generation networks

This paper presents a survey of the authors results to discuss the model of a multiservice network with “triple play” (unicast, multicast, and elastic) traffic. The main results are given for the model with multicast traffic. Two service disciplines for multicast traffic are considered in the form o...

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Published inAutomatic control and computer sciences Vol. 47; no. 2; pp. 62 - 69
Main Authors Basharin, G. P., Gaidamaka, Yu. V., Samouylov, K. E.
Format Journal Article
LanguageEnglish
Published Heidelberg Allerton Press, Inc 01.03.2013
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ISSN0146-4116
1558-108X
DOI10.3103/S0146411613020028

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Abstract This paper presents a survey of the authors results to discuss the model of a multiservice network with “triple play” (unicast, multicast, and elastic) traffic. The main results are given for the model with multicast traffic. Two service disciplines for multicast traffic are considered in the form of systems with transparent requests. An algorithm for the calculation of the blocking probabilities for models involving both unicast and multicast traffic is proposed. In conclusion, the lines of further research are outlined: the analysis of models of the session initiation protocol (SIP), including design problems to control overloads in SIP server networks, the planning of cross-layer interfaces for orthogonal frequency division multiplexing in mobile networks long term evolution (LTE), and the design of methods for the analysis of the quality factors of the file exchange and streaming in peer-to-peer (P2P) networks.
AbstractList This paper presents a survey of the authors results to discuss the model of a multiservice network with “triple play” (unicast, multicast, and elastic) traffic. The main results are given for the model with multicast traffic. Two service disciplines for multicast traffic are considered in the form of systems with transparent requests. An algorithm for the calculation of the blocking probabilities for models involving both unicast and multicast traffic is proposed. In conclusion, the lines of further research are outlined: the analysis of models of the session initiation protocol (SIP), including design problems to control overloads in SIP server networks, the planning of cross-layer interfaces for orthogonal frequency division multiplexing in mobile networks long term evolution (LTE), and the design of methods for the analysis of the quality factors of the file exchange and streaming in peer-to-peer (P2P) networks.
Author Gaidamaka, Yu. V.
Basharin, G. P.
Samouylov, K. E.
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Issue 2
Keywords blocking probability
elastic traffic
unicast connections
multicast connections
mathematical theory of teletraffic
triple play
multiservice network
streaming traffic
Language English
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References KarvoJMartikainenOVirtamoJTAaltoSBlocking of dynamic multicast connectionsTelecomm. Syst.2001467481
AbaevPGaidamakaYuSamouylovKQueuing model for loss-based overload control in a SIP server using a hysteretic techniqueLecture Notes in Computer Science2012HeidelbergSpringer-Verlag371378
ButurlinIAGaidamakaYuVSamuylovAKUtility function maximization problems for two crosslayer optimization algorithms in OFDM wireless networksProc. 4th Int. Congr. on Ultra Modern Telecommunications and Control Systems (IEEE ICUMT 2012)20127072
GudkovaIASamouylovKEApproximating performance measures of a triple play loss network modelLecture Notes in Computer Science2011HeidelbergSpringer-Verlag
IversenVBTeletraffic engineering handbookTelecommunication Network and Teletraffic Theory20022330
AdamuAGaidamakaYuSamuylovADiscrete Markov chain model for analyzing probability measures of P2P streaming networkLecture Notes in Computer Science2011HeidelbergSpringer-Verlag428439
SamuilovKEGaidamakaYuVShchukinaONSome warnings on inadmissibility of Erlang loss model to compute blocking probabilities in multiservice networks with multicast connectionsT-Comm - Telekommunications and Transport20114548
BasharinGPSamuilovKEYarkinaNVGudkovaIAA new stage in mathematical teletraffic theoryAutom. Remote Cont.20091628
GaidamakaYSamouylovKAnalytical model of multicast network and single link performance analysisProc. 6th Int. Conf. Telecommunicat2001169175
RossKWMultiservice Loss Models for Broadband Telecommunication Networks1995LondonSpringer-Verlag1094.9051410.1007/978-1-4471-2126-8
NaumovVASamuilovKEYarkinaNVTeoriya teletrafika mul’tiservisnykh setei2007MoscowRUDN(Theory of Teletraffic of Multiservice Networks)
BasharinGPLektsii po matematicheskoi teorii teletrafika. Uch. posobie2009MoscowRUDN(Lectures on Mathematical Theory of Teletraffic. A Tutorial)
KellyFPMathematical Models of Multiservice Networks. Complex Stochastic Systems and Engineering1995OxfordOxford University Press
VB Iversen (6237_CR8) 2002
P Abaev (6237_CR11) 2012
VA Naumov (6237_CR7) 2007
KE Samuilov (6237_CR5) 2011
GP Basharin (6237_CR3) 2009
Y Gaidamaka (6237_CR9) 2001
A Adamu (6237_CR13) 2011
FP Kelly (6237_CR1) 1995
IA Gudkova (6237_CR4) 2011
IA Buturlin (6237_CR12) 2012
KW Ross (6237_CR2) 1995
GP Basharin (6237_CR6) 2009
J Karvo (6237_CR10) 2001
References_xml – reference: RossKWMultiservice Loss Models for Broadband Telecommunication Networks1995LondonSpringer-Verlag1094.9051410.1007/978-1-4471-2126-8
– reference: BasharinGPLektsii po matematicheskoi teorii teletrafika. Uch. posobie2009MoscowRUDN(Lectures on Mathematical Theory of Teletraffic. A Tutorial)
– reference: KarvoJMartikainenOVirtamoJTAaltoSBlocking of dynamic multicast connectionsTelecomm. Syst.2001467481
– reference: ButurlinIAGaidamakaYuVSamuylovAKUtility function maximization problems for two crosslayer optimization algorithms in OFDM wireless networksProc. 4th Int. Congr. on Ultra Modern Telecommunications and Control Systems (IEEE ICUMT 2012)20127072
– reference: GudkovaIASamouylovKEApproximating performance measures of a triple play loss network modelLecture Notes in Computer Science2011HeidelbergSpringer-Verlag
– reference: NaumovVASamuilovKEYarkinaNVTeoriya teletrafika mul’tiservisnykh setei2007MoscowRUDN(Theory of Teletraffic of Multiservice Networks)
– reference: AbaevPGaidamakaYuSamouylovKQueuing model for loss-based overload control in a SIP server using a hysteretic techniqueLecture Notes in Computer Science2012HeidelbergSpringer-Verlag371378
– reference: KellyFPMathematical Models of Multiservice Networks. Complex Stochastic Systems and Engineering1995OxfordOxford University Press
– reference: IversenVBTeletraffic engineering handbookTelecommunication Network and Teletraffic Theory20022330
– reference: BasharinGPSamuilovKEYarkinaNVGudkovaIAA new stage in mathematical teletraffic theoryAutom. Remote Cont.20091628
– reference: AdamuAGaidamakaYuSamuylovADiscrete Markov chain model for analyzing probability measures of P2P streaming networkLecture Notes in Computer Science2011HeidelbergSpringer-Verlag428439
– reference: GaidamakaYSamouylovKAnalytical model of multicast network and single link performance analysisProc. 6th Int. Conf. Telecommunicat2001169175
– reference: SamuilovKEGaidamakaYuVShchukinaONSome warnings on inadmissibility of Erlang loss model to compute blocking probabilities in multiservice networks with multicast connectionsT-Comm - Telekommunications and Transport20114548
– start-page: 16
  volume-title: Autom. Remote Cont.
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– start-page: 467
  volume-title: Telecomm. Syst.
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  volume-title: Telecommunication Network and Teletraffic Theory
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  doi: 10.1007/978-1-4471-2126-8
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SubjectTerms Computer Science
Control Structures and Microprogramming
International Seminar “Probabilistic Models and Statistical Inference”
Title Mathematical theory of teletraffic and its application to the analysis of multiservice communication of next generation networks
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