Several problems in transportation and communication networks lead to the notion of Wardrop equilibrium. There exists a large number of algorithms to find Wardrop equilibria, both centralized and distributed. This paper presents a distributed control algorithm, which converges to a Wardrop equilibrium, derived from the algorithm presented in Fischer and Vöcking (2009). The innovation lies in the fact that convergence results are obtained considering that communications occur over time-varying communication graphs, with mild assumptions on the graph connectivity in time (uniform connectivity). © 2017 Elsevier Ltd
Wardrop equilibrium on time-varying graphs / Pietrabissa, Antonio; Suraci, Vincenzo. - In: AUTOMATICA. - ISSN 0005-1098. - STAMPA. - 84:(2017), pp. 159-165. [10.1016/j.automatica.2017.07.021]
Wardrop equilibrium on time-varying graphs
PIETRABISSA, Antonio
;
2017
Abstract
Several problems in transportation and communication networks lead to the notion of Wardrop equilibrium. There exists a large number of algorithms to find Wardrop equilibria, both centralized and distributed. This paper presents a distributed control algorithm, which converges to a Wardrop equilibrium, derived from the algorithm presented in Fischer and Vöcking (2009). The innovation lies in the fact that convergence results are obtained considering that communications occur over time-varying communication graphs, with mild assumptions on the graph connectivity in time (uniform connectivity). © 2017 Elsevier LtdFile | Dimensione | Formato | |
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