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Pareto Neural Model for Finding Task Allocation

In this paper, the Hopfield model of artificial neural networks called HANNs for finding some task allocations in multiple computer systems have been proposed. A multiobjective optimisation problem with two criteria has been considered. Resource constraints have been assumed, too. Both the cost of parallel program execution and the cost of computers have been minimised. Two models of neural networks for minimisation of the computer cost and for minimisation of the cost of parallel program execution have been designed. Moreover, HANN for finding local Paretooptimal solutions has been considered. Finally, some simulation results related to minimisation of the energy function for constructed neural networks have been included. Especially, a trajectory of energy function obtained during finding Pareto-optimal task allocation has been presented.