Optimal networks for mass transportation problems

Alessio Brancolini; Giuseppe Buttazzo

ESAIM: Control, Optimisation and Calculus of Variations (2005)

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

Abstract

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In the framework of transport theory, we are interested in the following optimization problem: given the distributions of working people and 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 from with respect to a metric which depends on the transportation network.

How to cite

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Brancolini, Alessio, and Buttazzo, Giuseppe. "Optimal networks for mass transportation problems." ESAIM: Control, Optimisation and Calculus of Variations 11.1 (2005): 88-101. <http://eudml.org/doc/245494>.

@article{Brancolini2005,
abstract = {In the framework of transport theory, we are interested in the following optimization problem: given the distributions $\mu ^+$ of working people and $\mu ^-$ 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 $\mu ^+$ from $\mu ^-$ 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},
number = {1},
pages = {88-101},
publisher = {EDP-Sciences},
title = {Optimal networks for mass transportation problems},
url = {http://eudml.org/doc/245494},
volume = {11},
year = {2005},
}

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
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 $\mu ^+$ of working people and $\mu ^-$ 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 $\mu ^+$ from $\mu ^-$ 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/245494
ER -

References

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