Queuing Systems for the Internet

SUMMARY This article proposes a versatile model of a multiservice queueing system with elastic traffic. The model can provide a basis for an analysis of telecommunications and computer network systems, internet network systems in particular. The advantage of the proposed approach is a possibility of a determination of delays in network nodes for a number of

[1]  L. Gimpelson.  Analysis of Mixtures of Wide- and Narrow-Band Traffic , 1965 .

[2]  Frank Kelly,et al.  Notes on effective bandwidths , 1994 .

[3]  Frank Kelly,et al.  Mathematical Modelling of the Internet , 2001 .

[4]  Michel Mandjes,et al.  Dimensioning network links: a new look at equivalent bandwidth , 2009, IEEE Network.

[5]  J. W. Cohen,et al.  The multiple phase service network with generalized processor sharing , 1979, Acta Informatica.

[6]  Jorma T. Virtamo,et al.  A recursive formula for multirate systems with elastic traffic , 2005, IEEE Communications Letters.

[7]  Erik A. van Doorn,et al.  Blocking probabilities in a loss system with arrivals in geometrically distributed batches and heterogeneous service requirements , 1993, TNET.

[8]  Jorma Virtamo,et al.  Broadband Network Traffic , 1996, Lecture Notes in Computer Science.

[9]  Thomas Bonald,et al.  Internet and the Erlang formula , 2012, CCRV.

[10]  L. Delbrouck.  On the Steady-State Distribution in a Service Facility Carrying Mixtures of Traffic with Different Peakedness Factors and Capacity Requirements , 1983, IEEE Trans. Commun..

[11]  Hamid Ahmadi,et al.  Equivalent Capacity and Its Application to Bandwidth Allocation in High-Speed Networks , 1991, IEEE J. Sel. Areas Commun..

[12]  Dimitri P. Bertsekas,et al.  Data Networks , 1986 .

[13]  Ugo Mocci,et al.  Broadband Network Teletraffic: Final Report of Action COST 242 , 1996 .

[14]  J. Kaufman,et al.  Blocking in a Shared Resource Environment , 1981, IEEE Trans. Commun..

[15]  Mariusz Glabowski,et al.  Modelling of state-dependent multirate systems carrying BPP traffic , 2008, Ann. des Télécommunications.

[16]  Gábor Fodor,et al.  Flow level performance analysis of a multi-service system supporting elastic and adaptive services , 2002, Perform. Evaluation.

[17]  Anthony C. Boucouvalas,et al.  Congestion probabilities in a batched Poisson multirate loss model supporting elastic and adaptive traffic , 2013, Ann. des Télécommunications.

[18]  Maciej Stasiak,et al.  Properties of Recurrent Equations for the Full-Availability Group with BPP Traffic , 2012 .

[19]  Nick McKeown,et al.  Processor Sharing Flows in the Internet , 2005, IWQoS.

[20]  Laurent Massoulié,et al.  A queueing analysis of max-min fairness, proportional fairness and balanced fairness , 2006, Queueing Syst. Theory Appl..

[21]  Maciej Stasiak,et al.  A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls , 2014, IEICE Trans. Commun..

[22]  George M. Stamatelos,et al.  Reservation-based bandwidth allocation in a radio ATM network , 1997, TNET.

[23]  L. Tu.  The Life and Works of , 2006 .

[24]  J. S. Kaufman,et al.  Blocking in a Shared Resource Environment with Batched Poisson Arrival Processes , 1996, Perform. Evaluation.

[25]  Maciej Stasiak,et al.  The Queueing Model of a Multiservice System with Dynamic Resource Sharing for Each Class of Calls , 2013, CN.

[26]  Maciej Stasiak,et al.  Analytical Model of Traffic Compression in the UMTS Network , 2009, EPEW.

[27]  Maciej Stasiak,et al.  Analytical Model of the Iub Interface Carrying HSDPA Traffic in the UMTS Network , 2009, APNOMS.

[28]  Keith W. Ross,et al.  Multiservice Loss Models for Broadband Telecommunication Networks , 1997 .

[29]  Arne Jensen,et al.  The life and works of A. K. Erlang , 1960 .

[30]  Maciej Stasiak,et al.  Modelling of the LTE radio interface for NRT traffic , 2014, 2014 16th International Telecommunications Network Strategy and Planning Symposium (Networks).

[31]  Hiroshi Inose.  An introduction to digital integrated communications systems , 1979 .

[32]  J. Aein.  A Multi-User-Class, Blocked-Calls-Cleared, Demand Access Model , 1978, IEEE Trans. Commun..

[33]  A.E. Joel.  Introduction to digital integrated communications systems , 1981, Proceedings of the IEEE.

[34]  Ilkka Norros,et al.  On the Use of Fractional Brownian Motion in the Theory of Connectionless Networks , 1995, IEEE J. Sel. Areas Commun..

[35]  Vassilios G. Vassilakis,et al.  Call-Level Performance Modelling of Elastic and Adaptive Service-Classes with Finite Population , 2008, IEICE Trans. Commun..

[36]  Sally Floyd,et al.  Wide-area traffic: the failure of Poisson modeling , 1994 .

[37]  Maciej Stasiak,et al.  Multiservice Queuing System with Elastic Traffic , 2016 .

[38]  Maciej Stasiak,et al.  Modelling and dimensioning of mobile networks : from GSM to LTE , 2011 .

[39]  Ravi Mazumdar,et al.  Congestion in large balanced multirate networks , 2013, Queueing Syst. Theory Appl..

[40]  Joseph Y. Hui.  Resource allocation for broadband networks , 1988, IEEE J. Sel. Areas Commun..

[41]  Miklós Telek,et al.  Bounding the Blocking Probabilities in Multirate CDMA Networks Supporting Elastic Services , 2007, IEEE/ACM Transactions on Networking.