On the emergence of oscillations in distributed resource allocation
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Holding, T
Lestas, I
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.
Description
Keywords
Nonlinear systems, Optimization, Stability, Networks, Resource allocation
Journal Title
Automatica
Conference Name
Journal ISSN
0005-1098
1873-2836
1873-2836
Volume Title
85
Publisher
Elsevier
Publisher DOI
Sponsorship
European Research Council (679774)
This work was partly supported by an ERC starting grant 679774.