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An improved Dial's algorithm for logit-based traffic assignment within a directed acyclic network

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  • Bing-Feng Si
  • Ming Zhong
  • Hao-Zhi Zhang
  • Wen-Long Jin

Abstract

Dial's algorithm is one of the most effective and popular procedures for a logit-type stochastic traffic assignment, as it does not require path enumeration over a network. However, a fundamental problem associated with the algorithm is its simple definition of ‘efficient paths’, which sometimes produces unrealistic flow patterns. In this paper, an improved algorithm based on the route extension coefficient is proposed in order to circumvent this problem, in which ‘efficient paths’ simultaneously consider link travel cost and minimum travel cost. Path enumeration is still not required and a similar computing efficiency with the original algorithm is guaranteed. A limitation of the algorithm is that it can only be applied to a directed acyclic network because a topological sorting algorithm is used to decide the order of the sequential calculation. A numerical example based on the Beijing subway network illustrates the effectiveness of the proposed algorithm. It is found that it is able to exclude most unrealistic paths, but include all reasonable paths when compared with path enumeration and the original Dial's algorithm.

Suggested Citation

  • Bing-Feng Si & Ming Zhong & Hao-Zhi Zhang & Wen-Long Jin, 2010. "An improved Dial's algorithm for logit-based traffic assignment within a directed acyclic network," Transportation Planning and Technology, Taylor & Francis Journals, vol. 33(2), pages 123-137, January.
    • Handle: RePEc:taf:transp:v:33:y:2010:i:2:p:123-137
    DOI: 10.1080/03081061003643705
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    Cited by:

    1. Selin Damla Ahipaşaoğlu & Uğur Arıkan & Karthik Natarajan, 2019. "Distributionally Robust Markovian Traffic Equilibrium," Transportation Science, INFORMS, vol. 53(6), pages 1546-1562, November.
    2. Li, Jin-Yang & Teng, Jing & Wang, Hui, 2024. "Measuring route diversity in spatial and spatial-temporal public transport networks," Transport Policy, Elsevier, vol. 146(C), pages 42-58.
    3. 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.
    4. Yi-Wen Kuo & Cheng-Hsien Hsieh & Cheng-Min Feng & Wen-Ya Yeh, 2013. "Effects of price promotions on potential consumers of high-speed rail," Transportation Planning and Technology, Taylor & Francis Journals, vol. 36(8), pages 722-738, December.

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