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Path Flow Estimator in an Entropy Model Using a Nonlinear L-Shaped Algorithm

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Listed:
  • Maryam Abareshi

    (Semnan University)

  • Mehdi Zaferanieh

    (Hakim Sabzevari University)

  • Bagher Keramati

    (Semnan University)

Abstract

The general problem of estimating origin-destination matrices in congested traffic networks is formulated as a mathematical program with equilibrium constraints. In this paper a path flow entropy model based on an equilibrium assignment approach is presented. It is assumed the flows on links are disaggregated due to some external reasons. Using the L-shaped algorithm the problem is transformed into a problem with less constraints. Then applying the lagrangian dual function the original problem is reduced to a nonlinear convex problem with only one linear constraint.

Suggested Citation

  • Maryam Abareshi & Mehdi Zaferanieh & Bagher Keramati, 2017. "Path Flow Estimator in an Entropy Model Using a Nonlinear L-Shaped Algorithm," Networks and Spatial Economics, Springer, vol. 17(1), pages 293-315, March.
    • Handle: RePEc:kap:netspa:v:17:y:2017:i:1:d:10.1007_s11067-016-9327-9
    DOI: 10.1007/s11067-016-9327-9
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    References listed on IDEAS

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    1. Fisk, C. S. & Boyce, D. E., 1983. "A note on trip matrix estimation from link traffic count data," Transportation Research Part B: Methodological, Elsevier, vol. 17(3), pages 245-250, June.
    2. Maher, M. J., 1983. "Inferences on trip matrices from observations on link volumes: A Bayesian statistical approach," Transportation Research Part B: Methodological, Elsevier, vol. 17(6), pages 435-447, December.
    3. Brenninger-Göthe, Maud & Jörnsten, Kurt O. & Lundgren, Jan T., 1989. "Estimation of origin-destination matrices from traffic counts using multiobjective programming formulations," Transportation Research Part B: Methodological, Elsevier, vol. 23(4), pages 257-269, August.
    4. Cascetta, Ennio, 1984. "Estimation of trip matrices from traffic counts and survey data: A generalized least squares estimator," Transportation Research Part B: Methodological, Elsevier, vol. 18(4-5), pages 289-299.
    5. Hillel Bar-Gera, 2002. "Origin-Based Algorithm for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 36(4), pages 398-417, November.
    6. Spiess, Heinz, 1987. "A maximum likelihood model for estimating origin-destination matrices," Transportation Research Part B: Methodological, Elsevier, vol. 21(5), pages 395-412, October.
    7. Yang, Hai, 1995. "Heuristic algorithms for the bilevel origin-destination matrix estimation problem," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 231-242, August.
    8. Chi Xie & Jennifer Duthie, 2015. "An Excess-Demand Dynamic Traffic Assignment Approach for Inferring Origin-Destination Trip Matrices," Networks and Spatial Economics, Springer, vol. 15(4), pages 947-979, December.
    9. Yu Nie & H. Zhang, 2010. "A Relaxation Approach for Estimating Origin–Destination Trip Tables," Networks and Spatial Economics, Springer, vol. 10(1), pages 147-172, March.
    10. Sue McNeil & Chris Hendrickson, 1985. "A Regression Formulation of the Matrix Estimation Problem," Transportation Science, INFORMS, vol. 19(3), pages 278-292, August.
    11. Fisk, C. S., 1988. "On combining maximum entropy trip matrix estimation with user optimal assignment," Transportation Research Part B: Methodological, Elsevier, vol. 22(1), pages 69-73, February.
    12. Moshe Ben-Akiva & Song Gao & Lu Lu & Yang Wen, 2015. "DTA2012 Symposium: Combining Disaggregate Route Choice Estimation with Aggregate Calibration of a Dynamic Traffic Assignment Model," Networks and Spatial Economics, Springer, vol. 15(3), pages 559-581, September.
    13. Xie, Chi & Kockelman, Kara M. & Waller, S. Travis, 2011. "A maximum entropy-least squares estimator for elastic origin–destination trip matrix estimation," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1465-1482.
    14. Lo, H. P. & Zhang, N. & Lam, W. H. K., 1996. "Estimation of an origin-destination matrix with random link choice proportions: A statistical approach," Transportation Research Part B: Methodological, Elsevier, vol. 30(4), pages 309-324, August.
    15. Nie, Yu & Zhang, H.M. & Recker, W.W., 2005. "Inferring origin-destination trip matrices with a decoupled GLS path flow estimator," Transportation Research Part B: Methodological, Elsevier, vol. 39(6), pages 497-518, July.
    16. José Holguín-Veras & Gopal Patil, 2008. "A Multicommodity Integrated Freight Origin–destination Synthesis Model," Networks and Spatial Economics, Springer, vol. 8(2), pages 309-326, September.
    17. Sherali, Hanif D. & Sivanandan, R. & Hobeika, Antoine G., 1994. "A linear programming approach for synthesizing origin-destination trip tables from link traffic volumes," Transportation Research Part B: Methodological, Elsevier, vol. 28(3), pages 213-233, June.
    18. Chen, Anthony & Chootinan, Piya & Recker, Will, 2009. "Norm approximation method for handling traffic count inconsistencies in path flow estimator," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 852-872, September.
    19. Castillo, Enrique & Menéndez, José María & Jiménez, Pilar, 2008. "Trip matrix and path flow reconstruction and estimation based on plate scanning and link observations," Transportation Research Part B: Methodological, Elsevier, vol. 42(5), pages 455-481, June.
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    Cited by:

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    2. Maryam Abareshi & Mehdi Zaferanieh & Mohammad Reza Safi, 2019. "Origin-Destination Matrix Estimation Problem in a Markov Chain Approach," Networks and Spatial Economics, Springer, vol. 19(4), pages 1069-1096, December.
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