Geodesic
Optimal networks for mass transportation problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 1, pp. 88-101 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

In the framework of transport theory, we are interested in the following optimization problem: given the distributions μ + of working people and μ - of their working places in an urban area, build a transportation network (such as a railway or an underground system) which minimizes a functional depending on the geometry of the network through a particular cost function. The functional is defined as the Wasserstein distance of μ + from μ - with respect to a metric which depends on the transportation network.

DOI : 10.1051/cocv:2004032
Classification : 49J45, 49Q10, 90B10
Keywords: optimal networks, mass transportation problems 
@article{COCV_2005__11_1_88_0,
     author = {Brancolini, Alessio and Buttazzo, Giuseppe},
     title = {Optimal networks for mass transportation problems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {88--101},
     year = {2005},
     publisher = {EDP-Sciences},
     volume = {11},
     number = {1},
     doi = {10.1051/cocv:2004032},
     mrnumber = {2110615},
     zbl = {1103.49002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004032/}
}
TY  - JOUR
AU  - Brancolini, Alessio
AU  - Buttazzo, Giuseppe
TI  - Optimal networks for mass transportation problems
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2005
SP  - 88
EP  - 101
VL  - 11
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004032/
DO  - 10.1051/cocv:2004032
LA  - en
ID  - COCV_2005__11_1_88_0
ER  - 
%0 Journal Article
%A Brancolini, Alessio
%A Buttazzo, Giuseppe
%T Optimal networks for mass transportation problems
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2005
%P 88-101
%V 11
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004032/
%R 10.1051/cocv:2004032
%G en
%F COCV_2005__11_1_88_0
Brancolini, Alessio; Buttazzo, Giuseppe. Optimal networks for mass transportation problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 1, pp. 88-101. doi: 10.1051/cocv:2004032

Cité par Sources :