# Optimal networks for mass transportation problems

Alessio Brancolini; Giuseppe Buttazzo

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 11, Issue: 1, page 88-101
- ISSN: 1292-8119

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topBrancolini, Alessio, and Buttazzo, Giuseppe. "Optimal networks for mass transportation problems." ESAIM: Control, Optimisation and Calculus of Variations 11.1 (2010): 88-101. <http://eudml.org/doc/90758>.

@article{Brancolini2010,

abstract = {
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.
},

author = {Brancolini, Alessio, Buttazzo, Giuseppe},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Optimal networks; mass transportation problems.; Monge-Kantorovich problem; optimal transportation; optimal transportation networks; mass transfer},

language = {eng},

month = {3},

number = {1},

pages = {88-101},

publisher = {EDP Sciences},

title = {Optimal networks for mass transportation problems},

url = {http://eudml.org/doc/90758},

volume = {11},

year = {2010},

}

TY - JOUR

AU - Brancolini, Alessio

AU - Buttazzo, Giuseppe

TI - Optimal networks for mass transportation problems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 11

IS - 1

SP - 88

EP - 101

AB -
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.

LA - eng

KW - Optimal networks; mass transportation problems.; Monge-Kantorovich problem; optimal transportation; optimal transportation networks; mass transfer

UR - http://eudml.org/doc/90758

ER -

## References

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