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Pricing Toll Roads under Uncertainty

Authors Trivikram Dokka, Alain Zemkoho, Sonali Sen Gupta, Fabrice Talla Nobibon

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Trivikram Dokka
Alain Zemkoho
Sonali Sen Gupta
Fabrice Talla Nobibon

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Trivikram Dokka, Alain Zemkoho, Sonali Sen Gupta, and Fabrice Talla Nobibon. Pricing Toll Roads under Uncertainty. In 16th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2016). Open Access Series in Informatics (OASIcs), Volume 54, pp. 4:1-4:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)
https://doi.org/10.4230/OASIcs.ATMOS.2016.4

Abstract

We study the toll pricing problem when the non-toll costs on the network are not fixed and can vary over time. We assume that users who take their decisions, after the tolls are fixed, have full information of all costs before making their decision. Toll-setter, on the other hand, do not have any information of the future costs on the network. The only information toll-setter have is historical information (sample) of the network costs. In this work we study this problem on parallel networks and networks with few number of paths in single origin-destination setting. We formulate toll-setting problem in this setting as a distributionally robust optimization problem and propose a method to solve to it. We illustrate the usefulness of our approach by doing numerical experiments using a parallel network.
Keywords
  • Conditional value at risk
  • robust optimization
  • toll pricing

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