Analysis of finite MAP|PH|1 queue with hysteretic control of arrivals

SIP-server overload in next generation networks is a well-known issue, which motivates new research activities and gives rise to new models and designs of overload control mechanisms. In a number of recent papers in has been shown that the SIP overload problem can be addressed from queueing-theoretic point of view. This paper provides a numerical algorithm for performance analysis of queue-related stationary characteristics of finite-capacity MAP|PH|1 queueing system with bi-level hysteretic control of arrivals. This system models a SIP server with loss-based overload scheme, which implies the use of bi-level hysteretic control of arrivals to regulate the message arrival rate. Simple numerical example illustrating the performance of hysteretic control is given.

[1]  Henning Schulzrinne,et al.  A Session Initiation Protocol (SIP) Load-Control Event Package , 2014 .

[2]  Vaidyanathan Ramaswami,et al.  Introduction to Matrix Analytic Methods in Stochastic Modeling , 1999, ASA-SIAM Series on Statistics and Applied Mathematics.

[3]  Volker Hilt,et al.  Controlling overload in networks of SIP servers , 2008, 2008 IEEE International Conference on Network Protocols.

[4]  Rostislav Razumchik,et al.  Simulation Of Overload Control In SIP Server Networks , 2012, ECMS.

[5]  Richard F. Gebhard.  A queuing process with bilevel hysteretic service‐rate control , 1967 .

[6]  San-qi Li,et al.  Analysis of multi-media traffic queues with finite buffer and overload control. I. Algorithm , 1991, IEEE INFCOM '91. The conference on Computer Communications. Tenth Annual Joint Comference of the IEEE Computer and Communications Societies Proceedings.

[7]  Konstantin E. Samouylov,et al.  Modeling of Hysteretic Signaling Load Control in Next Generation Networks , 2012, NEW2AN.

[8]  Stefano Giordano,et al.  Queueing Strategies for Local Overload Control in SIP Server , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[9]  Rostislav Razumchik,et al.  Hysteretic Control Technique for Overload Problem Solution in Network of SIP Servers , 2014, Comput. Informatics.

[10]  Yang Hong,et al.  Applying control theoretic approach to mitigate SIP overload , 2013, Telecommunication Systems.

[11]  R. Razumchik,et al.  Statistical Analysis and Modeling of SIP Traffic for Parameter Estimation of Server Hysteretic Overload Control , 2013, Journal of Telecommunications and Information Technology.

[12]  Konstantin E. Samouylov,et al.  Queuing Model for Loss-Based Overload Control in a SIP Server Using a Hysteretic Technique , 2012, NEW2AN.

[13]  Sergio Montagna,et al.  Load control techniques in SIP signaling servers using multiple thresholds , 2008, Networks 2008 - The 13th International Telecommunications Network Strategy and Planning Symposium.

[14]  Konstantin E. Samouylov,et al.  FSM Based Simulation For Performance Evaluation Of SIP Server Loss-Based Overload Control , 2015, ECMS.

[15]  Eric Noël,et al.  Session Initiation Protocol (SIP) Rate Control , 2015, RFC.

[16]  Luca De Cicco,et al.  Local SIP Overload Control: Controller Design and Optimization by Extremum Seeking , 2015, IEEE Trans. Control. Netw. Syst..

[17]  Seyed Vahid Azhari,et al.  Stability analysis of tandem SIP proxies , 2012, 2012 IEEE International Conference on Communications (ICC).

[18]  Ahmed Abdelal,et al.  Engineering Task Force (IETF) , 2022 .

[19]  Ahmed Abdelal,et al.  Signal-Based Overload Control for SIP Servers , 2010, 2010 7th IEEE Consumer Communications and Networking Conference.

[20]  R. Razumchik,et al.  Statistical Analysis of Message Delay in SIP Proxy Server , 2014 .

[21]  Stefano Giordano,et al.  A Prediction-Based Overload Control Algorithm for SIP Servers , 2011, IEEE Transactions on Network and Service Management.

[22]  Jonathan D. Rosenberg,et al.  Network Working Group Requirements for Management of Overload in the Session Initiation Protocol , 2008 .

[23]  Xiaomin Zhu,et al.  A distributed end-to-end overload control mechanism for networks of SIP servers , 2012, Comput. Networks.