An innovating PDE model based on fluid flow paradigm for multithread systems
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.
multithread system quality of service buffer system fluid flow modeling genetic algorithms partial differential equation (pde) workload delay system modeling complex system