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Solving the logit-based stochastic user equilibrium problem with elastic demand based on the extended traffic network model

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  • Yu, Qian
  • Fang, Debin
  • Du, Wei

Abstract

This paper proposes a novel extended traffic network model to solve the logit-based stochastic user equilibrium (SUE) problem with elastic demand. In this model, an extended traffic network is established by properly adding dummy nodes and links to the original traffic network. Based on the extended traffic network, the logit-based SUE problem with elastic demand is transformed to the SUE problem with fixed demand. Such problem is then further converted to a linearly constrained convex programming and addressed by a predictor–corrector interior point algorithm with polynomial complexity. A numerical example is provided to compare the proposed model with the method of successive averages (MSA). The numerical results indicate that the proposed model is more efficient and has a better convergence than the MSA.

Suggested Citation

  • Yu, Qian & Fang, Debin & Du, Wei, 2014. "Solving the logit-based stochastic user equilibrium problem with elastic demand based on the extended traffic network model," European Journal of Operational Research, Elsevier, vol. 239(1), pages 112-118.
    • Handle: RePEc:eee:ejores:v:239:y:2014:i:1:p:112-118
    DOI: 10.1016/j.ejor.2014.04.009
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    References listed on IDEAS

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    Cited by:

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    5. Wang, Guangchao & Chen, Anthony & Kitthamkesorn, Songyot & Ryu, Seungkyu & Qi, Hang & Song, Ziqi & Song, Jianguo, 2020. "A multi-modal network equilibrium model with captive mode choice and path size logit route choice," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 293-317.
    6. Du, Muqing & Tan, Heqing & Chen, Anthony, 2021. "A faster path-based algorithm with Barzilai-Borwein step size for solving stochastic traffic equilibrium models," European Journal of Operational Research, Elsevier, vol. 290(3), pages 982-999.
    7. Li, Guoyuan & Chen, Anthony, 2023. "Strategy-based transit stochastic user equilibrium model with capacity and number-of-transfers constraints," European Journal of Operational Research, Elsevier, vol. 305(1), pages 164-183.
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