On designing connected rapid transit networks reducing the number of transfers

Laureano Fernando Escudero; Susana Muñoz

RAIRO - Operations Research - Recherche Opérationnelle (2011)

  • Volume: 45, Issue: 4, page 315-338
  • ISSN: 0399-0559

Abstract

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In this paper we introduce some improvements on an approach that we described elsewhere for solving a modification of the well-known extended rapid transit network design problem. Firstly, we propose an integer programming model for selecting the stations to be constructed and the links between them, in such a way that a connected rapid transit network is obtained. Secondly, we consider a linear 0-1 programming model for determining a route of minimum length in the rapid transit network between certain pairs of locations, and present a greedy heuristic procedure which attempts to minimize an estimation of the total number of transfers that should be made by the users to arrive at their destinations. We also report several computational experiments that show that this procedure can significantly reduce the estimated total number of transfers required for the solutions obtained using our previous approach.

How to cite

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Escudero, Laureano Fernando, and Muñoz, Susana. "On designing connected rapid transit networks reducing the number of transfers." RAIRO - Operations Research - Recherche Opérationnelle 45.4 (2011): 315-338. <http://eudml.org/doc/275076>.

@article{Escudero2011,
abstract = {In this paper we introduce some improvements on an approach that we described elsewhere for solving a modification of the well-known extended rapid transit network design problem. Firstly, we propose an integer programming model for selecting the stations to be constructed and the links between them, in such a way that a connected rapid transit network is obtained. Secondly, we consider a linear 0-1 programming model for determining a route of minimum length in the rapid transit network between certain pairs of locations, and present a greedy heuristic procedure which attempts to minimize an estimation of the total number of transfers that should be made by the users to arrive at their destinations. We also report several computational experiments that show that this procedure can significantly reduce the estimated total number of transfers required for the solutions obtained using our previous approach.},
author = {Escudero, Laureano Fernando, Muñoz, Susana},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {station and link location; line designing; degree of a node; transfer; greedy heuristic procedure},
language = {eng},
number = {4},
pages = {315-338},
publisher = {EDP-Sciences},
title = {On designing connected rapid transit networks reducing the number of transfers},
url = {http://eudml.org/doc/275076},
volume = {45},
year = {2011},
}

TY - JOUR
AU - Escudero, Laureano Fernando
AU - Muñoz, Susana
TI - On designing connected rapid transit networks reducing the number of transfers
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2011
PB - EDP-Sciences
VL - 45
IS - 4
SP - 315
EP - 338
AB - In this paper we introduce some improvements on an approach that we described elsewhere for solving a modification of the well-known extended rapid transit network design problem. Firstly, we propose an integer programming model for selecting the stations to be constructed and the links between them, in such a way that a connected rapid transit network is obtained. Secondly, we consider a linear 0-1 programming model for determining a route of minimum length in the rapid transit network between certain pairs of locations, and present a greedy heuristic procedure which attempts to minimize an estimation of the total number of transfers that should be made by the users to arrive at their destinations. We also report several computational experiments that show that this procedure can significantly reduce the estimated total number of transfers required for the solutions obtained using our previous approach.
LA - eng
KW - station and link location; line designing; degree of a node; transfer; greedy heuristic procedure
UR - http://eudml.org/doc/275076
ER -

References

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