A continuous theory of traffic congestion and Wardrop equilibria
Santambrogio, Filippo; Carlier, Guillaume (2012), A continuous theory of traffic congestion and Wardrop equilibria, Journal of Mathematical Sciences, 181, 6, p. 792-804. http://dx.doi.org/10.1007/s10958-012-0715-5
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Sciences
MetadataShow full item record
Abstract (EN)In the classical Monge-Kantorovich problem, the transportation cost only depends on the amount of mass sent from sources to destinations and not on the paths followed by each particle forming this mass. Thus, it does not allow for congestion effects, which depend instead on the proportion of mass passing through a same point or following a same path, Usually, the traveling cost (or time) of a path depends on “how crowded” this path is. Starting from a simple network model, we will define equilibria in the presence of congestion. We will then extend this theory to the continuous setting mainly following the recent papers by Brasco, Carlier, and Santambrogio and Carlier, Jimenez, and Santambrogio. After an introduction with almost no mathematical details, we will give a survey of the main features of this theory, Bibliography: 22 titles.
Subjects / Keywordstransportation cost; Traffic congestion
Showing items related by title and author.
Peyré, Gabriel; Carlier, Guillaume; Benmansour, Fethallah; Santambrogio, Filippo (2009) Article accepté pour publication ou publié