Origin-Destination Matrix as a Way to Create a Basic Algorithm for Simulation a Load of Transport Network

Abstract:

Article is devoted to studying of traffic flows using the origin-destination matrix. The first paragraph of this article deals with the possibility of applying the origin-destination matrix when modeling load of transport network. The types of transportations, the factors that affect the loading of the transport network are described. The concept of a generalized path cost, interdistrict transportations and some others are considered. There are proposed several steps to create a origin-destination matrix. In the second paragraph of the paper is proposed the classification of mathematical models that can be applied in the simulation of traffic flow, as well as their features are marked. This will help in the processing of data for selection of a mathematical model that satisfies the requirements and objectives that have set themselves researchers. The conclusions on the application of mathematical models in the study of traffic flow are made.

• Periodical: Applied Mechanics and Materials (Volumes 725-726)
• Pages: 1218-1223
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.725-726.1218
• Online since: January 2015
• Authors: Anastasiya Shevtsova*, Marina Yablonovskaya, Alexey Borovskoy
• Keywords: Mathematical Models, Origin-Destination Matrix, Traffic Simulation, Transport Network

References

[1] Potts, R. B., Oliver, R. M. Flows in Transportation Networks (1972). Academic Press, 201p.

[2] Masao, I. Network Flow, Transportation and Scheduling (1969) Academic Press, 308 p.

[3] Schadschneider, A., Chowdhury, D., Nishinari, K. Stochastic transport in complex systems (2011) Elsevier Science, pp.17-23.

[4] Yue, W. L., Young, W. An Introduction Of A Parking Design And Simulation Model (2010) Joumal of the Eastem Asia Society for Transportation Studies, Vol. 2, No' 2, pp.27-34.

[5] Haight, F. A. Mathematical theories of traffic flow (1963) Academic Press, 287 p.

[6] Kerner. B. S. Introduction to Modern Traffic Flow Theory and Control (2009) Springer, 354 p.

[7] Yamamoto, K., Kokubo, S., Nishinari, K. New approach for pedestrian dynamics by real-coded cellular automata (RCA) (2009) in: El Yacoubi et al., 728 p.

DOI: 10.1007/11861201_89

[8] Woensel, T. V., Vandaele, N. Modeling traffic flows with queueing models (2007) Springer 435 p.

[9] Waldau, N., Gattermann, P., Knoflacher, H., Schreckenberg, M. Pedestrian and Evacuation Dynamics (2005), Springer, 319 p.

DOI: 10.1007/978-3-540-47064-9

[10] Tilch, B., Helbing, D. Evaluation of single vehicle data in dependence of the vehicle-type, lane, and site (2001) Helbing, 333 p.

DOI: 10.1007/978-3-642-59751-0_31

[11] Belbasi, S., Foulaadvand, M.E., Simulation of traffic flow at a signalized intersection (2008) Springer, 174 p.

[12] Ben-Naim, E., Krapivsky, P.L., Steady state properties of traffic flows (1998) Academic Press, 365 p.

[13] Bham, G. H., Benekohal, R.F., A high fidelity traffic simulation model based on cellular automata and car-following concepts (2004) Transp. Res., No. 12, pp.24-31.

DOI: 10.1016/j.trc.2002.05.001

[14] Boccara, N., Modeling Complex Systems (2004) Springer, 412 p.

[15] Burgers, J.M., The Nonlinear Diffusion Equation: Asymptotic Solutions and Statistical Problems (1974) Reidel, 297 p.

[16] Chakroborty, P., Models of vehicular traffic: an engineering perspective (2006) Physica, 206 p.

[17] Chowdhury, D., Nishinari, K., Schadschneider, A. Modeling of Complex Systems Using Cellular Automata (2010) Springer, 275 p.

[18] Daganzo, C.F., Cassidy, M.J., Bertini, R.L., Possible explanations of phase transitions in highway traffic, (1998) Transp. Res., No. 8, pp.42-49.

[19] Derrida, B. An exactly soluble non-equilibrium system: the asymmetric simple exclusion process (1998) Physica, 167 p.

DOI: 10.1016/s0370-1573(98)00006-4

[20] Ebersbach, A., Schneider, J. Two-lane traffic with places of obstruction to traffic (2004) Springer, 535 p.