Quality Measures of Origin-Destination Trip Table Estimated from Traffic Counts: Review and New Generalized Demand Scale Measure
Publication: Journal of Transportation Engineering
Volume 138, Issue 11
Abstract
The goals of this paper are to (1) provide a review of the recently developed measures for assessing the quality of origin-destination (O-D) trip tables estimated from traffic counts and (2) propose a new generalized demand scale (GDS) measure. This GDS quality measure generalizes the total demand scale (TDS) quality measure by allowing the assessment of the intrinsic underdeterminant problem of O-D estimation from traffic counts at various spatial levels. Numerical examples are provided to compare the proposed GDS measure with the TDS measure, the maximal possible relative error, and the expected relative error and to illustrate the features of the GDS measure.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to thank three anonymous referees for their constructive comments to improve the quality and clarity the paper. The work of the first author was supported by the California Partners for Advanced Transit and Highways (PATH) Program and a William Mong Visiting Fellowship and that of the fourth author by an Outstanding Researcher Award from the University of Hong Kong. The contents of this paper reflect the views of the authors who are responsible for the facts and the accuracy of the data presented herein and do not necessarily reflect the views of our sponsors.
References
Bekhor, S., Toledo, T., and Prashker, J. N. (2008). “Effects of choice set size and route choice models on path-based traffic assignment.” Transportmetrica, 4(2), 117–133.
Bell, M. G. H., and Iida, Y. (1997). Transportation network analysis, Wiley, New York.
Bell, M. G. H., and Shield, C. M. (1995). “A log-linear model for path flow estimation.” Proc., 4th Int. Conf. on the Applications of Advanced Technologies in Transportation Engineering, ASCE, New York, 695–699.
Bell, M. G. H., Shield, C. M., Busch, F., and Kruse, G. (1997). “A stochastic user equilibrium path flow estimator.” Transp. Res., Part C: Emerg. Technol., 5(3–4), 197–210.
Bierlaire, M. (2002). “The total demand scale: A new measure of quality for static and dynamic origin-destination trip tables.” Transp. Res., Part B: Methodol., 36(9), 837–850.
Cascetta, E. (2001). Transportation systems engineering: Theory and methods, Kluwer Academic Publishers, Dordrecht, The Netherlands.
Cascetta, E., Russo, F., and Vitetta, A. (1997). “Stochastic user equilibrium assignment with explicit path enumeration: Comparison of models and algorithms.” Proc., Int. Federation of Automatic Control: Transportation Systems, International Federation of Automatic Control, UK, 1078–1084.
Castillo, E., Cobo, A., Jubete, F., and Pruneda, R. E. (1999). Orthogonal sets and polar methods in linear algebra: Applications to matrix calculations, systems of equations, inequalities, and linear programming, Wiley, New York.
Chen, A., Chootinan, P., and Recker, W. (2005). “Examining the quality of synthetic origin-destination trip table estimated by path flow estimator.” J. Transp. Eng., 131(7), 506–513.
Chen, A., Chootinan, P., and Recker, W. (2009). “Norm approximation method for handling traffic count inconsistencies in path flow estimator.” Transp. Res., Part B: Methodol., 43(8), 852–872.
Chen, A., Pravinvongvuth, S., Chootinan, P., Lee, M., and Recker, W. (2007). “Strategies for selecting additional traffic counts for improving O-D trip table estimation.” Transportmetrica, 3(3), 191–211.
Chen, A., Ryu, S., and Chootinan, P. (2010). “L-infinity norm for handling traffic count inconsistencies in path flow estimator: Formulation and solution algorithm.” J. Transp. Eng., 136(6), 565–575.
Chootinan, P. (2006). “A framework for estimating origin-destination trip tables from observed traffic data: A quality assessment methodology.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Utah State Univ., Logan, UT.
Chootinan, P., and Chen, A. (2011). “Confidence interval estimation for path flow estimator.” Transp. Res., Part B: Methodol., 45(10), 1680–1698.
Chootinan, P., Chen, A., and Recker, W. (2005a). “Improved path flow estimator for estimating origin-destination trip tables.”, Transportation Research Board, Washington, DC, 9–17.
Chootinan, P., Chen, A., and Yang, H. (2005b). “A bi-objective traffic counting location problem for origin-destination trip table estimation.” Transportmetrica, 1(1), 65–80.
Chvatal, V. (1983). Linear programming, W.H. Freeman, New York.
Fisk, C. (1980). “Some developments in equilibrium traffic assignment.” Transp. Res. Part B: Methodol., 14(3), 243–255.
Gan, L., Yang, H., and Wong, S. C. (2005). “Traffic counting location and error bound in origin-destination matrix estimation problems.” J. Transp. Eng., 131(7), 524–534.
Lam, W. H. K., and Lo, H. P. (1990). “Accuracy of O-D estimates from traffic counts.” Traffic Eng. Control, 31(6), 358–367.
Matheiss, T. H., and Rubin, D. S. (1980). “A survey and comparison of methods for finding all vertices of convex polyhedral sets.” Math. Oper. Res., 5(2), 167–185.
Ortuzar, J. de D., and Willumsen, L. G. (2001) Modeling transport, 3rd Ed., Wiley, New York.
Sheffi, Y. (1985). Urban transportation networks: Equilibrium analysis with mathematical programming methods, Prentice Hall, Englewood Cliffs, NJ.
Sherali, H. D., Sivanandan, R., and Hobeika, A. G. (1994). “A linear programming approach for synthesizing origin-destination trip tables from link traffic volumes.” Transp. Res., Part B: Methodol., 28(3), 213–234.
Yang, H., Iida, Y., and Sasaki, T. (1991). “An analysis of the reliability of an origin-destination trip matrix estimated from traffic counts.” Transp. Res., Part B: Methodol., 25(5), 351–363.
Yang, H., Meng, Q., and Bell, M. G. H. (2001). “Simultaneous estimation of the origin-destination matrices and travel-cost coefficient for congested networks in a stochastic equilibrium.” Transp. Sci., 35(2), 107–123.
Yang, H., Yang, C., and Gan, L. (2006). “Models and algorithms for the screen line-based traffic-counting location problems.” Comp. Oper. Res., 33(3), 836–858.
Yang, H., and Zhou, J. (1998). “Optimal traffic counting locations for origin-destination matrix estimation.” Transp. Res., Part B: Methodol., 32(2), 109–126.
Zhou, Z., Chen, A., and Bekhor, S. (2012). “C-logit stochastic user equilibrium model: Formulation and solution algorithm.” Transportmetrica, 8(1), 17–41.
Information & Authors
Information
Published In
Journal of Transportation Engineering
Volume 138 • Issue 11 • November 2012
Pages: 1340 - 1349
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Jul 17, 2011
Accepted: Apr 4, 2012
Published online: Oct 15, 2012
Published in print: Nov 1, 2012
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.