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Title: On the emergence of oscillations in distributed resource allocation
Authors: Holding, Thomas 
Lestas, Ioannis 
Keywords: Nonlinear systems;Optimization;Stability;Networks;Resource allocation
Category: Electrical Engineering - Electronic Engineering - Information Engineering
Field: Engineering and Technology
Issue Date: 1-Nov-2017
Source: AUTOMATICA, Volume: 85, Pages: 22-33, Published: NOV 2017
Journal: Automatica
Abstract: We consider the problem of resource allocation in a decentralised market where users and suppliers trade for a single commodity. Due to the lack of strict concavity, convergence to the optimal solution by means of classical gradient type dynamics for the prices and demands, is not guaranteed. In the paper we explicitly characterise in this case the asymptotic behaviour of trajectories and provide an exact characterisation of the limiting oscillatory solutions. Methods of modifying the dynamics are also given, such that convergence to an optimal solution is guaranteed, without requiring additional information exchange among the users.
ISSN: 0005-1098
Rights: (C) 2017 Elsevier Ltd. All rights reserved.
Type: Article
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