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Genetic Algorithm for Multiuser Discrete Network Design Problem under Demand Uncertainty

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  • Wu Juan
  • Lu Huapu
  • Yu Xinxin
  • Bian Changzhi

Abstract

Discrete network design is an important part of urban transportation planning. The purpose of this paper is to present a bilevel model for discrete network design. The upper-level model aims to minimize the total travel time under a stochastic demand to design a discrete network. In the lower-level model, demands are assigned to the network through a multiuser traffic equilibrium assignment. Generally, discrete network could affect path selections of demands, while the results of the multiuser traffic equilibrium assignment need to reconstruct a new discrete network. An iterative approach including an improved genetic algorithm and Frank-Wolfe algorithm is used to solve the bi-level model. The numerical results on Nguyen Dupuis network show that the model and the related algorithms were effective for discrete network design.

Suggested Citation

  • Wu Juan & Lu Huapu & Yu Xinxin & Bian Changzhi, 2012. "Genetic Algorithm for Multiuser Discrete Network Design Problem under Demand Uncertainty," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-17, December.
    • Handle: RePEc:hin:jnlmpe:686272
    DOI: 10.1155/2012/686272
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