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Estimation of a trip table and the [Theta] parameter in a stochastic network

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  • Shihsien, Liu
  • Fricker, Jon D.

Abstract

An origin-destination (O-D) table that accurately portrays a study area's travel patterns is a valuable element in the modeling and analysis used to support public transportation investment decisions. The probabilistic approach to O-D table estimation involves a heuristic enumeration of link choice probabilities. The parameter [Theta], which reflects the variation in path choices among tripmakers, has not been discussed in the context of O-D table estimation, nor has an efficient way been demonstrated to determine the associated link use probabilities. This paper presents a method for O-D table estimation in a stochastic network. The "OD Theta" method can not only estimate the O-D table, it also estimates the [Theta] parameter in the same process. The proposed method is illustrated using a sample test network. Finally, the method is applied to a real network, with the results compared to those from some well-known O-D estimation software.

Suggested Citation

  • Shihsien, Liu & Fricker, Jon D., 1996. "Estimation of a trip table and the [Theta] parameter in a stochastic network," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(4), pages 287-305, July.
    • Handle: RePEc:eee:transa:v:30:y:1996:i:4:p:287-305
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    1. B. Curtis Eaves, 1971. "The Linear Complementarity Problem," Management Science, INFORMS, vol. 17(9), pages 612-634, May.
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    1. Guarda, Pablo & Qian, Sean, 2024. "Statistical inference of travelers’ route choice preferences with system-level data," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    2. Lo, Hing-Po & Chan, Chi-Pak, 2003. "Simultaneous estimation of an origin-destination matrix and link choice proportions using traffic counts," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(9), pages 771-788, November.
    3. Gutjahr, Walter J. & Dzubur, Nada, 2016. "Bi-objective bilevel optimization of distribution center locations considering user equilibria," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 1-22.
    4. García-Ródenas, Ricardo & Marín, Ángel, 2009. "Simultaneous estimation of the origin-destination matrices and the parameters of a nested logit model in a combined network equilibrium model," European Journal of Operational Research, Elsevier, vol. 197(1), pages 320-331, August.
    5. Simonelli, Fulvio & Marzano, Vittorio & Papola, Andrea & Vitiello, Iolanda, 2012. "A network sensor location procedure accounting for o–d matrix estimate variability," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1624-1638.

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