A Scatter Search Algorithm for Solving a Bilevel Optimization Model for Determining Highway Tolls

Authors

  • José Luis González Velarde Centro de Calidad y Manufactura, ITESM, Campus Monterrey
  • José Fernando Camacho Vallejo Universidad Autónoma de Nuevo León, Facultad de Ciencias Físico-Matemáticas
  • Gabriel Pinto Serrano Centro de Calidad y Manufactura, ITESM, Campus Monterrey

DOI:

https://doi.org/10.13053/cys-19-1-1916

Keywords:

bilevel programming, scatter search, toll optimization problem

Abstract

The problem of determining the optimal tolls established on a subset of the arcs in a multicommodity capacitated transportation network is presented. The problem is formulated as a bilevel optimization problem where the upper level consists of an administrator who establishes the tolls in some arcs of the network, while the lower level is represented by a group of users who travel along the shortest paths with respect to a travel cost. The objective is not only to increase the tolls, but also to maintain an optimal flow on the arcs of the network in order to maximize the leader’s profit. If the leader sets very high toll values, the followers will be discouraged from using the tolled arcs, so the profit obtained from that decision is not going to be convenient for the leader. A methodology to solve this problem using an optimization software at the lower level and the metaheuristic Scatter Search at the upper level is proposed.

Author Biography

José Fernando Camacho Vallejo, Universidad Autónoma de Nuevo León, Facultad de Ciencias Físico-Matemáticas

El Dr. Camacho tiene licenciatura en matemáticas por la Facultad de Ciencias Físico-Matemáticas de la Universidad Autónoma de Nuevo León, maestría en Ciencias en Ingeniería con especialidad en ingeniería industrial por Arizona State University y doctorado en Ciencias de la Ingeniería con especialidad en Ingeniería Industrial otorgado por el ITESM campus Monterrey. Actualmente se encuentra laborando como profesor-investigador exclusivo y de tiempo completo en CICFIM y es coordinador del Posgrado en Ciencias con Orientación en Matemáticas de la FCFM en la UANL. Además es el Responsable del Cuerpo Académico UANL-307 Programación Binivel y Estadística Aplicada. Las líneas de investigación de interés son resolución de problemas de investigación de operaciones, en particular sobre teoría y aplicaciones de programación binivel, diseño de métodos numéricos y técnicas heurísticas para resolver problemas de programación binivel.

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Published

2015-03-27

Issue

Vol. 19 No. 1 (2015): 19(1) January-March 2015

Section

Articles

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