World Academy of Science, Engineering and Technology
Published November 4, 2014 | Version 9999807
Journal article Open

Method of Parameter Calibration for Error Term in Stochastic User Equilibrium Traffic Assignment Model

Creators

Description

Stochastic User Equilibrium (SUE) model is a widely
used traffic assignment model in transportation planning, which is
regarded more advanced than Deterministic User Equilibrium (DUE)
model. However, a problem exists that the performance of the SUE
model depends on its error term parameter. The objective of this
paper is to propose a systematic method of determining the
appropriate error term parameter value for the SUE model. First, the
significance of the parameter is explored through a numerical
example. Second, the parameter calibration method is developed
based on the Logit-based route choice model. The calibration process
is realized through multiple nonlinear regression, using sequential
quadratic programming combined with least square method. Finally,
case analysis is conducted to demonstrate the application of the
calibration process and validate the better performance of the SUE
model calibrated by the proposed method compared to the SUE
models under other parameter values and the DUE model.

Files

9999807.pdf

Files (233.8 kB)

Name Size Download all
md5:89cd592273957de374c059fb2fab92f8
233.8 kB Preview Download

Additional details

References

  • Ralf Sprenger, Lars Mönch, "A methodology to solve large-scale cooperative transportation planning problems," European Journal of Operational Research, vol. 223, 2012, pp. 626–636.
  • Reza Zanjirani Farahani, Elnaz Miandoabchi, W.Y.Szeto, Hannaneh Rashidi, "A review of urban transportation network design problems," European Journal of Operational Research, Vol.229, 2013, pp. 281– 302.
  • Si, B., Ming, Z., "An improved dial's algorithm for logit-based traffic assignment within directed acyclic network," Transportation Planning and Technology, vol. 33, no. 2, 2010, pp. 123–137.
  • Wardrop, J. G. "Some theoretical aspects of road traffic research," Proceedings of the Institution of Civil Engineers, vol. 1, no. 2, 1952, pp. 325–378.
  • Patriksson M, The Traffic Assignment Problems: Models and Methods. VSP: Utrecht, the Netherlands, 1994, pp.25–71.
  • Sheffi Y, Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Models. Prentice Hall, INC: Englewood Cliffs, New Jersey, 1985, pp. 2-46.
  • Zhou, J, "Stochastic user equilibrium assignment model with its equivalent variational inequality problem," Journal of Systems Science and Mathematical Science, vol. 1, 2003, pp. 120–127.
  • Bekhor, S., Toledo, T., "Investigating path-based solution algorithms to the stochastic user equilibrium problem," Transportation Research Part B, vol. 39, no. 3, 2005, pp. 279–295.
  • Bekhor, S., Toledo, T., Reznikova, L., "A path-based algorithm for the cross-nested logit stochastic user equilibrium," Computer-Aided Civil and Infrastructure Engineering, vol. 24, no. 1, 2008, pp. 15–25. [10] Sheffi, Y., Powell, W., "A comparison of stochastic and deterministic traffic assignment over congested networks," Transportation Research Part B, vol. 15, no. 1, 1981, pp. 53–64. [11] Zhou, Z., Chen, A., Bekhor, S, "C-logit stochastic user equilibrium model: formulations and solution algorithm," Transportmetrica, vol. 8, no. 1, 2012, pp. 17–41. [12] Prashker, J.N., Bekhor, S., "Route choice models used in the stochastic user equilibrium problem: a review," Transport Reviews, vol. 24, 2004, pp. 437–463. [13] Liu, Z., & Meng, Q, "Distributed computing approaches for large-scale probit-based stochastic user equilibrium problems," Journal of Advanced Transportation, vol. 47, no. 6, 2013, pp. 553–571. [14] Joseph N. Prashker, Shlomo Bekhor, "Route Choice Models Used in the Stochastic User Equilibrium Problem: A Review," Transport Reviews, vol. 24, no. 4, July 2004, pp. 437–463. [15] Chen, A., Pravinvongvuth, S., et al. "Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models." Transportation Research Part A, vol. 46, no. 8, 2012, pp. 1343–1358. [16] Anthony Chen, Surachet Pravinvongvuth, Xiangdong Xu, Seungkyu Ryu, Piya Chootinan, "Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models," Transportation Research Part A, vol. 46, 2012, pp. 1343 – 1358. [17] Fisk, C. "Some developments in equilibrium traffic assignment", Transportation Research Part B, vol. 14, no. 3, 1980, pp. 243–255. [18] Roger P. Roess, Elena S. Prassas, and William R. McShane, Traffic Engineering (4th Edition). Pearson Higher Education Inc., Upper Saddle River, New Jersey, United States of America, 2010, pp. 274-315. [19] Thomas R. Currin, Introduction to Traffic Engineering: A Manual for Data Collection and Analysis. Australia: Pacific Grove, Calif.: Brooks/Cole. 2001, pp. 45-128. [20] G.A.F. Seber, and C.J. Wild, Nonlinear Regression, John Wiley & Sons Inc., Hoboken, New Jersey, United States of America, 1989, pp. 21 – 190. [21] Frank E. Curtis, and Michael L. Overton, "A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization," Siam Journal On Optimization, vol.22, no.2, 2012, pp.474-500. [22] Marija J. Norusis, IBM SPSS Statistics 19 Advanced Statistical Procedures Companion, Prentice Hall Inc., Upper Saddle River, New Jersey, United States of America, 2012, pp. 195-340.