Title: Optimisation problems for control of distributed resources

Authors: Igor V. Konnov, Olga A. Kashina, Erkki Laitinen

Addresses: Department of System Analysis and Information Technologies, Kazan University, ul. Kremlevskaya, 18, Kazan 420008, Russia. ' Department of Economic Cybernetics, Kazan University, ul. Kremlevskaya, 18, Kazan 420008, Kazan, Russia. ' Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 University of Oulu, Finland

Abstract: We consider a two-level optimisation problem of resource allocation in communication networks, which is based on profit maximisation of the network subject to capacity constraints. The cost function of the upper level problem involves a sum of non-differentiable functions whose values are computed algorithmically. The corresponding solution methods utilise duality theory and decomposition technique for optimisation problems.

Keywords: resource allocation; optimisation; non-differentiable functions; decomposition; duality theory; distributed resources; communication networks; profit maximisation; capacity constraints; optimal control; wireless networks.

DOI: 10.1504/IJMIC.2011.042341

International Journal of Modelling, Identification and Control, 2011 Vol.14 No.1/2, pp.65 - 72

Published online: 21 Mar 2015 *

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