Growth conditions for the global stability of high-speed communication networks with a single congested link

IEEE Transactions on Automatic Control

Volumn 53, Issue 7, 2008, Pages 1770-1774

  King, C ^a   Shorten, Robert N ^b   Wirth, F R ^b,c   Akar, Mehmet ^a,d  

^a NORTHEASTERN UNIVERSITY   (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^c UNIVERSITY OF WÜRZBURG   (Germany)

^d BOGAZICI UNIVERSITY   (Turkey)

Author keywords

Asymptotic stability; Congestion control; Discrete time system; Nonlinear additive increase multiplicative decrease (AIMD)

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); LINEAR SYSTEMS; SPEED; STANDARDS; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS; TRANSMISSION CONTROL PROTOCOL;

ASYMPTOTIC STABILITY; CONGESTED LINK; CONGESTION CONTROL; CONGESTION CONTROL PROTOCOLS; DISCRETE-TIME SYSTEM; GLOBAL NETWORKS; GLOBAL STABILITY; GROWTH CONDITIONS; HIGH-SPEED COMMUNICATION NETWORKS; NETWORK BEHAVIORS; NONLINEAR ADDITIVE-INCREASE MULTIPLICATIVE-DECREASE (AIMD); NONLINEAR FEEDBACK; SYNCHRONISATION; TRANSMISSION CONTROL PROTOCOL (TCP);

NETWORK PROTOCOLS;

EID: 52249120352     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.928302     Document Type: Article

References (14)

1. Z. Zhao, S. Darbha, and A. Reddy, "A method for estimating the proportion of nonresponsive traffic at a router," IEEE/ACM Trans. Netw., vol. 12, pp. 708-718, 2004.
2. D. Chiu and R. Jain, "Analysis of the increase/decrease algorithms for congestion avoidance in computer networks," J. Comput. Netw., vol. 17, pp. 1-14, 1989.
3. S. Floyd, HighSpeed TCP for Large Congestion Windows IETF RFC 3649, Experimental, 2003 [Online]. Available: http://www.ietf.org/rfc/ rfc3649.txt
4. S. Jin, L. Guo, I. Matta, and A. Bestavros, A Spectrum of TCP-Friendly Window-Based Congestion Control Algorithms Boston University, 2001, TR-2001-015.
5. F. Kelly, A. Maulloo, and D. Tan, "Rate control in communication networks: Shadow prices, proportional fairness and stability," J. Oper. Res. Soc., vol. 49, pp. 237-252, 1998.
6. T. Kelly, On Engineering a Stable and Scalable TCP Variant Cambridge University Engineering Department, 2002, Tech. Rep. CUED/F-INFENG/TR.435.
7. D. J. Leith and R. N. Shorten, "H-TCP protocol for high-speed longdistance networks," in Proc. 2nd Workshop Protocols Fast Long Distance Netw., Argonne, ON, Canada, 2004.
8. E. Altman, K. Avrachenkov, and B. Prabhu, "Fairness in MIMD congestion control algorithms," Proc. IEEE NFOCOM, 2005.
9. A. Berman, R. Shorten, and D. Leith, "Positive matrices associated with synchronised communication networks," Linear Algebra Applicat., vol. 393, pp. 47-54, 2004.
10. N. R. Sastry and S. Lam, A Framework for Window-Based Unicast Congestion Control [Online]. Available: http://www.cite-seer.ist.psu.edu/ sastry02cyrf.html
11. L. Xu, K. Harfoush, and I. Rhee, "Binary increase congestion control (BIC) for fast long-distance networks," in Proc. IEEE INFOCOM, Hong Kong, China, 2004.
12. R. Shorten, D. J. Leith, J. Foy, and R. Kilduff, "Analysis and design of congestion control in synchronized communication networks," Automatica, 2005.
13. D. Hartfiel, Nonhomogeneous Matrix Products. Singapore: World Scientific, 2002.
14. G. Golub and C. Van Loan, Matrix Computations, 2nd ed. Baltimore, MD: John Hopkins University Press, 1989.