Dynamic models for computer communication netwoks and their mathematical analysis

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 9, Issue 4, 2002, Pages 507-524

  Ahmed, N U ^a   Teo, K L ^b  

^a UNIVERSITY OF OTTAWA   (Canada)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Buffers; Channel Capacity; Computer Communication Network; Differential Inclusions; Invariance; Mathematical Models; Multiplexor; Token Buckets

Indexed keywords

EID: 0347305911     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. N.U. Ahmed, Q. Wang and L.O. Barbosa, A Systems Approach to Modeling the Token Bucket Algorithm in Computer Networks, International Journal of Communication Systems, (to appear).
2. N.U. Ahmed, Existence of Optimal Controls for a Class of Systems Governed by Differential Inclusions on a Banach Space, J. Opt. Th. and Appl., 50, 2, (1986). 213-237.
3. N.U. Ahmed, (1988), Elements of Finite-Dimensional Systems and Control, Pitman Monograph and Surveys in Pure and Applied Mathematics, 37, Longman Scientific and Technical, Co-Publisher John Wiley, New York.
4. A.W. Berger, Performance Analysis of a Rate-Control Throttle where Tokens and Jobs Queue, IEEE journal on Selected Areas of Communications, 9,2,(1991), 165-170.
5. C. Bruni and C. Scoglio, An Optimal Rate Control Algorithm for Guaranteed Services in Broadband Networks, Computer Networks, 37, (2001), 331-344.
6. M. Butto, E. Cavallero and A. Tonietti. Effectiveness of the Leaky Bucket Policing Mechanism in ATM Networks, IEEE journal on Selected Areas of Communications, 9,3,(1991), 335-350.
7. N. Dunford and J.T. Schwartz , Linear Operators, part 1, Interscience Publishers, Inc., John Wiley and Sons, New York London, 1964.
8. O.C. Imer, S. Companas, T. Basar and R. Srikant, Available Bit Rate Congestion Control in ATM Networks, IEEE Control System Magazine, February 2001, 38-55.
9. K.L. Teo, C.J. Goh, and K.H. Wong, (1991), A Unified Computational Approach to Optimal Control Problems, Pitman Monograph and Surveys in Pure and Applied Mathematics, 55, Longman Scientific and Technical, Co-Publisher John Wiley, New York.
10. X. Xiang and N.U. Ahmed, Necessary Conditions of Optimality for Differential Inclusions on Banach Space, Nonlinear Analysis, 30,8, (1997), 5437-5445.
11. E. Zeidler, Nonlinear Functional Analysis and its Applications, I, Fixed Point Theorems, Springer-Verlag, New York Berlin Heidelberg London Paris Tokyo Hong Kong Barcelona Budapest, 1986.