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By Pravin Bhagwat, Satish K. Tripathi (auth.), S. V. Raghavan, Bijendra N. Jain (eds.)

Computer Networks, structure and purposes covers many facets of analysis in sleek communications networks for computing purposes.

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Extra resources for Computer Networks, Architecture and Applications: Proceedings of the IFIP TC6 conference 1994

Example text

A similar proof to that of Fendick et al [Fendick et al, 1992] shows that the system is unstable in the vicinity of the equilibrium point (p, 1) for example, and the interested reader is referred to [fendick et al, 1992]. Although the system is locally unstable, it can be proved that it exhibits a stable limit cycle behaviour for a range of parameter values of a (see Appendix). We have found that there exists a critical convergence rate Oc such that for 0 < a < oc, there is a stable limit cycle surrounding the unstable equilibrium point and, for a > oc, the system exhibits asymptotic stability.

Visual communications Systems. IEEE Press, 1985. K. Ramakrishnan and R. Jain. A binary feedback scheme for congestion avoidance in computer networks. ACM Transactions on Computer Systems, 8(2):158-181, May 1990. [Zha91] L. Zhang. Virtual clock: A new traffic control algorithm for packet switching networks. ACM Transactions on Computer Systems, 9(2):101-125, May 1991. N. A. Gray, Department of Computing Mathematics, University of Wales College of Cardiff, United Kingdom. M. Davidson, Department of Applied Mathematics, University of Wales College of Cardiff, United Kingdom.

Sanghi. Design and Evaluation of an Adaptive Flow Control Scheme. IEEE INFOCOM, pp. 7, 1992. (Beltrami 1987) E. Beltrami Mathematics for Dynamic Modelling Academic Press, 1987. C. U. Shankar. Dynamical Behaviour of Rate Based Flow Control Mechanisms. 35-90, April 1990. -C. Shankar. Analysis of a Fluid Approximation to Flow Control Dynamics. 10, 1992. Jain. Analysis of the Increased and Decrease Algorithms for Congestion Avoidance in Computer Networks. l-14, June 1989. Rodrigues, A. Weiss. Analysis of a Rate Based Control with Delayed Feedback.

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