01. A new concept of robustness

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

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Ricardo García
Ángel Marín
Juan A. Mesa
Federico Perea
Doroteo Verastegui

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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)


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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