# Methods to Generate an Expected Turning Traffic Flows Matrix for Road Junction Analysis

Methods to Generate an Expected Turning Traffic Flows Matrix for Road Junction Analysis

A. Pratelli L. Sordi A. Farina

DICI – Department of Civil and Industrial Engineering, University of Pisa, Italy

Page:
1-14
|
DOI:
https://doi.org/10.2495/TDI-V5-N1-1-14
N/A
|
Revised:
N/A
|
Accepted:
N/A
|
Available online:
N/A
| Citation

OPEN ACCESS

Abstract:

In dependence upon a given geometric configuration, an actual or forecasted number of vehicles arriving at an intersection can turn left or right, otherwise proceed straight through it. This article can be placed in between a research working paper, and a kind of informational brief report. Indeed, it deals with forecasting techniques for estimation of intersection turning movements. Such issue is crucial, both in network planning and in traffic engineering, while its applications span from traffic safety and environmental impacts, to signal timing, roundabout design and setting of traffic control strategies. The number of vehicles making each movement on an existing intersection can be manually collected, especially when operational analyses are undertaken. Nevertheless, when the intersection is at the planning or design stage, an estimation process is required. In its first part, this paper provides a brief literature review of some of theoretical and practical methods focused to forecast the intersection turning movements. Such a review is limited on methods used to distribute the incoming and exiting traffic volumes within the different intersection branches, then generating an estimation of the so-called intersection O/D matrix of turning flows. The second part of the paper is experimental. Two different, but similar, heuristic procedures have described. Then, they have successively applied to some selected intersection real traffic data sets, and the respective computational performances were compared. Namely, the first one is known as proportion methods, while the second one is called as the difference, or deviation, method. Each method of these two starts from an initial matrix, and through iterative steps it reaches the best estimate of the matrix of turning flows, with respect to a given distribution model. Test intersections with their related set of real traffic data have been used as input, and each of the two procedures, as described in advance, was applied to the same numeric instances. The obtained values were compared in respect to few selected performance indicators. Finally, the computational results were displayed and discussed. On this basis, some insights are drawn and useful remarks for application and future research have been addressed.

Keywords:

path traffic ﬂows o/d matrix, road junction mathematical model, turning movement estimation

References

[1] Willumsen, L.G., Estimation of O-D matrix from traffic counts: a review, Working Paper 99, Institute for Transport Studies, University of Leeds, 1978.

[2] Wilson, A.G., Entropy in Urban and Regional Modelling, Routledge, London, 1970.

[3] Van Zuylen, H.J., A method to estimate a trip matrix from traffic volume counts. PTRC Summer Annual Meeting, University of Warwick, July 1978. PTRC Education & Research Series Ltd, London, 1978.

[4] Van Zuylen, J.H. & Willumsen, L.G., The most likely trip matrix estimated from traffic counts. Transportation Research Part B, 14, pp. 281–293, 1980.

[5] Fisk, C., On combining maximum entropy trip matrix estimation with user optimal assignment. Transportation Research Part B, 22(1), pp. 69–79, 1988.

[6] Currin, T.R., Introduction to traffic engineering, a manual for data collection and analysis, 2nd Edition, Cengage Learning, UK, 2013.

[7] Jefferys, M. & Norman, M., On finding realistic turning flows at road junctions. Traffic Engineering and Control, 18(1), pp.19–25, 1977.

[8] Razouki, S.S. & Jadaan, K.S., Estimation of turning movements at three-arm rotaries. Dirasat Journal, Natural and Engineering Sciences, 24(2), pp. 305–312., 1997.

[9] Razouki, S.S., A mathematical model for determining the origin-destination matrix for five-arm rotaries. Journal of Engineering and Development, 4(3), pp. 86–99, 2000.

[10] Eisenman, S.M. & List, G., A technique for data collection and estimation of turning movements at roundabouts, Proceedings of the 84th Annual Conference of the Transportation Research Board, Washington D.C., 2005.

[11] Jadaan, K., Accuracy of turning flow estimates at road junctions. ASCE Journal of Transportation Engineering, 115(4), pp. 438–449, 1989.

[12] Yang, H., Iida, Y & Sasaki, T., Estimation of origin – destination matrices from traffic counts on congested networks. Transportation Research Part B, 26(6), pp. 417–434, 1992.

[13] Wardrop, J.G., Some theoretical aspects of road traffic research. Proceedings of the Institution of Civil Engineering, Part II, vol. 1, pp. 325–378, 1952.

[14] Fisk, C., Some developments in equilibrium traffic assignment. Transportation Research Part B, 14(3), pp. 243–255, 1980.

[15] Beckmann, M., McGuire, C.B., Winsten, C.B., Studies in the economics of transportation. Yale University Press, New Haven, Connecticut, U.S., 1956.

[16] Sherali, H.D., Sivanandan, R., & Hobeika, A.G., A linear programming approach for synthesizing origin – destination trip tables from link traffic volumes. Transportation Research Part B, 28(3), pp. 213–234, 1994.

[17] Marshall, M.L., Labour-saving Methods for Counting Traffic Movements at Three and Four-arm Junctions. Traffic Engineering and Control, 20(4), pp. 159–162, 1979.

[18] Pedersen, N.J., & Samdahl, D.R., Highway traffic data for urbanized area project planning and design. 255th National Cooperative Research Program Report, Transportation Research Board, Washington D.C., U.S., 1982.

[19] Furness, K.P., Time Function Iteration, Traffic Engineering and Control, 7(7), pp. 458–460, 1965.

[20] Mekky, A. On Estimating Turning Flows at Road Junctions. Traffic Engineering and Control, 20(10), pp. 486–487, 1979.