Telecommunication networks: protocols, modeling and analysis
Telecommunication networks: protocols, modeling and analysis
Data networks
SIGCOMM '88 Symposium proceedings on Communications architectures and protocols
Congestion avoidance and control
SIGCOMM '88 Symposium proceedings on Communications architectures and protocols
Analysis of a rate-based feedback control strategy for long haul data transport
Performance Evaluation - Special issue on performance modeling of high speed telecommunication systems
Parallel methods for initial value problems
Applied Numerical Mathematics - Special issue: parallel methods for ordinary differential equations
A parallel direct method for solving initial value problems for ordinary differential equations
Applied Numerical Mathematics - Special issue: parallel methods for ordinary differential equations
Dynamic adaptive windows for high speed data networks with multiple paths and propagation delays
Computer Networks and ISDN Systems - Special issue on high speed networks
Dynamical behavior of rate-based flow control mechanisms
ACM SIGCOMM Computer Communication Review
Parallel Solution of Ordinary Differential Equations
IEEE Transactions on Computers
Some computer organizations and their effectiveness
IEEE Transactions on Computers
Flow enforcement algorithms for ATM networks
IEEE Journal on Selected Areas in Communications
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In this work we propose a general method for the solution of some basic delayed feedback schemes used in long haul, high speed data transport. In such cases, simple batch Poisson models do not describe packet delays well, while the propagation delay is now becoming a major factor. Two basic virtual circuit networks of balanced form are examined; the single-hop network which aggregates many virtual circuits in parallel, and the multi-hop virtual circuit network having M nodes in tandem. Using well known adaptive algorithms to dynamically adjust the window size, the above networks are presented as linear systems of some delay differential equations in which the rate of transmission and the queue occupancy are modelled as fluids. Although these systems are locally unstable (in a Liapounov sense), we identify the appropriate scale for the parameters so that the systems will perform near their optimal theoretical values for a wide range of speeds. In addition, we propose a general method for their numerical solution which in reality are large and complex. The approach is based on parallel block methods that are used to solve the systems of the ordinary differential equations in which the original systems of the delay differential equations have been transformed. The basic theory underlying the parallel block methods is developed and numerical stability of low order is deduced.