On the efficiency of fluid simulation of networks
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Network modelling and simulation
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We propose traffic flow models of multithread systems. This can be straighforwardly extended to a network of such components. The leading equations form a system of hyperbolic equations coupled by a nonlocal term of current total load. PDEs are also used for the computation of the service times. A numerical stable and efficient method of discretization is then proposed. To illustrate the usefulness of such models, we numerically solve a problem of optimal control of quality of service (QoS) management and demonstrate the efficiency of the method.