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DOI: 10.4230/OASIcs.ATMOS.2007.1177

01. A new concept of robustness

Authors: Ricardo García, Ángel Marín, Juan A. Mesa, Federico Perea, and Doroteo Verastegui

Published in: OASIcs, Volume 7, 7th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'07) (2007)

Abstract

In this paper a new concept of robustness is introduced and the corresponding optimization problem is stated. This new concept is applied to transportation network designs in which the set of scenarios arising from the uncertainty of the parameters follows a probability distribution. The $p$-robustness concept is aimed to problems where the feasibility of the solutions is not affected by the uncertainty of the parameters. In order to compare the solution with those of other already known concepts of robustness, some computational experiments with real data are included.

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Ricardo García, Ángel Marín, Juan A. Mesa, Federico Perea, and Doroteo Verastegui. 01. A new concept of robustness. In 7th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'07). Open Access Series in Informatics (OASIcs), Volume 7, pp. 1-14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{garcia_et_al:OASIcs.ATMOS.2007.1177,
  author =	{Garc{\'\i}a, Ricardo and Mar{\'\i}n, \'{A}ngel and Mesa, Juan A. and Perea, Federico and Verastegui, Doroteo},
  title =	{{01. A new concept of robustness}},
  booktitle =	{7th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'07)},
  pages =	{1--14},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-04-0},
  ISSN =	{2190-6807},
  year =	{2007},
  volume =	{7},
  editor =	{Ahuja, Ravindra K. and Liebchen, Christian and Mesa, Juan A.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2007.1177},
  URN =		{urn:nbn:de:0030-drops-11779},
  doi =		{10.4230/OASIcs.ATMOS.2007.1177},
  annote =	{Keywords: }
}

Document

DOI: 10.4230/OASIcs.ATMOS.2005.658

Analysis of the Parameters of Transfers in Rapid Transit Network Design

Authors: Ricardo García, Armando Garzón-Astolfi, Angel Marín, Juan A. Mesa, and Francisco A. Ortega

Published in: OASIcs, Volume 2, 5th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'05) (2006)

Abstract

The rapid transit network design problem consists of the location of train alignments and stations in an urban traffic context. The originality of our study is to incorporate into the location model the decisions about the transportation mode and the route, to be chosen for urban trips. This paper proposes a new design model which includes transfers between train lines. The objective of the model is to maximize the number of expected users in the transit network taking limited budgets into consideration, in addition to location and allocation constraints. Furthermore, the transfer costs are considered in the generalized public costs when the users change lines. Waiting time to take the metro and walking time to transfer is included in the formulation of the costs. The analysis of transfer parameters is carried out using a test network. Some computational experience is included in the paper.

Cite as

Ricardo García, Armando Garzón-Astolfi, Angel Marín, Juan A. Mesa, and Francisco A. Ortega. Analysis of the Parameters of Transfers in Rapid Transit Network Design. In 5th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'05). Open Access Series in Informatics (OASIcs), Volume 2, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{garcia_et_al:OASIcs.ATMOS.2005.658,
  author =	{Garc{\'\i}a, Ricardo and Garz\'{o}n-Astolfi, Armando and Mar{\'\i}n, Angel and Mesa, Juan A. and Ortega, Francisco A.},
  title =	{{Analysis of the Parameters of Transfers in Rapid Transit Network Design}},
  booktitle =	{5th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'05)},
  pages =	{1--15},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-00-2},
  ISSN =	{2190-6807},
  year =	{2006},
  volume =	{2},
  editor =	{Kroon, Leo G. and M\"{o}hring, Rolf H.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2005.658},
  URN =		{urn:nbn:de:0030-drops-6583},
  doi =		{10.4230/OASIcs.ATMOS.2005.658},
  annote =	{Keywords: Parameter analysis, rapid transit network design, trip choice in urban traffic}
}

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Documents authored by García, Ricardo

01. A new concept of robustness

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Analysis of the Parameters of Transfers in Rapid Transit Network Design

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