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Traffic assignment: Methods and simulations for an alternative formulation of the fixed demand problem

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  • Bagdasar, Ovidiu
  • Berry, Stuart
  • O’Neill, Sam
  • Popovici, Nicolae
  • Raja, Ramachandran

Abstract

Motorists often face the dilemma of choosing the route enabling them to realise the fastest (i.e., shortest) journey time. In this paper we examine discrete and continuous optimisation and equilibrium-type problems for a simplified parallel link traffic model using a variance based approach. Various methodologies used for solving these problems (brute force, dynamic programming, tabu search, steepest descent) are explored and comparison is made with the Beckmann cost function employed in transport modelling.

Suggested Citation

  • Bagdasar, Ovidiu & Berry, Stuart & O’Neill, Sam & Popovici, Nicolae & Raja, Ramachandran, 2019. "Traffic assignment: Methods and simulations for an alternative formulation of the fixed demand problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 360-373.
    • Handle: RePEc:eee:matcom:v:155:y:2019:i:c:p:360-373
    DOI: 10.1016/j.matcom.2018.08.004
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    References listed on IDEAS

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    1. Bar-Gera, Hillel & Hellman, Fredrik & Patriksson, Michael, 2013. "Computational precision of traffic equilibria sensitivities in automatic network design and road pricing," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 485-500.
    2. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.
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    Cited by:

    1. De Santos-Berbel, César & Castro, Maria, 2020. "Effect of vehicle swiveling headlamps and highway geometric design on nighttime sight distance," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 32-50.
    2. Marta Rojo, 2020. "Evaluation of Traffic Assignment Models through Simulation," Sustainability, MDPI, vol. 12(14), pages 1-19, July.
    3. O’Neill, Sam & Bagdasar, Ovidiu & Berry, Stuart & Popovici, Nicolae & Raja, Ramachandran, 2022. "Modelling equilibrium for a multi-criteria selfish routing network equilibrium flow problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 658-669.

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