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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 832814, 11 pages
Research Article

Model and Method for Multiobjective Time-Dependent Hazardous Material Transportation

1School of Management, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China
2Laboratoire d’Informatique, Biologie Intégrative et Systèmes Complexes, Université d’Evry Val d’Essonne, 91020 Evry Cedex, France
3Laboratoire Génie Industriel, Ecole Centrale Paris, 92295 Châtenay-Malabry Cedex, France

Received 10 July 2014; Accepted 27 October 2014; Published 14 December 2014

Academic Editor: Yi-Kuei Lin

Copyright © 2014 Zhen Zhou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In most of the hazardous material transportation problems, risk factors are assumed to be constant, which ignores the fact that they can vary with time throughout the day. In this paper, we deal with a novel time-dependent hazardous material transportation problem via lane reservation, in which the dynamic nature of transportation risk in the real-life traffic environment is taken into account. We first develop a multiobjective mixed integer programming (MIP) model with two conflicting objectives: minimizing the impact on the normal traffic resulting from lane reservation and minimizing the total transportation risk. We then present a cut-and-solve based -constraint method to solve this model. Computational results indicate that our method outperforms the -constraint method based on optimization software package CPLEX.