A Method for Increasing the Flow of Streets Network Based on the Theory of Maximum Flow in Graphs

Document Type : Research Paper

Authors

1 MSc. Student, Faculty of Industrial Engineering, Department of Information Technology, K.N. Toosi University of Technology, Tehran, Iran

2 Assistant Professor, Faculty of Computer Engineering, Department of Artificial Intelligence, K. N. Toosi University of Technology, Tehran, Iran

3 MSc. Student, Faculty of Geodesy and Geomatics Engineering, Department of Geographic Information System, K. N. Toosi University of Technology, Tehran, Iran

Abstract

With the increase in population and vehicles in metropolitan areas, the streets face heavy traffic congestion in some areas. There are many solutions to address this problem, which are generally done with simulating urban traffic. In this paper, a model is proposed to increase the network throughput of streets, using simulation. Here, the throughput defined as the distance traveled by all vehicles across the entire streets network, which this paper aims to increase this indicator in a network of streets. In the developed model, the paths are modeled and processed as a graph. In this study, two issues were addressed to achieve the goal: street saturation and disproportion in the number of outbound vehicles at intersections. In this model, to solve the first problem, the threshold for the density of cars in the streets is calculated to prevent excessive saturation of the streets by cars and, consequently, to avoid over slow-down of vehicles average speed. To solve the second problem, the number of outbound vehicles from the intersection is calculated based on the ratio of the demand for inputs to the intersection. Due to the high volume of computations, simulated network used for processing. The simulation results show the proper performance of the proposed model, with street throughput, 2.38 times higher than normal.

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- Bonzani, I. )2007( “Hyperbolicity analysis of a class of dynamical systems modelling traffic flow”, Applied Mathematics Letters, Vol. 20, No. 8, pp. 933–937.
- Bowman, C. N.  and Miller J. A. )2016( “Modeling traffic flow using simulation and big data analytics”, Proceedings of the 2016 Winter Simulation Conference, pp. 1206–1217.
- De Nunzio, G., De Wit, C. C., Moulin, P. and Di Domenico, D. (2016) “Eco-driving in urban traffic networks using traffic signals information”, International Journal of Robustand Nonlinear Control, Vol. 26, No. 6, pp. 1307–1324.
- Dezani, H., Bassi, R. D. S., Marranghello, N., Gomes, L., Damiani, F. and Nunes da Silva, I. )2014( “Optimizing urban traffic flow using genetic algorithm with petri net analysis as fitness function”, Neurocomputing, Vol. 124, pp. 162–167.
- Errampalli, M. and Kayitha, R. )2016( “Traffic management plan for port blair city, india”, transportation research procedia, Vol. 17, pp. 548–557.
- Ford, L. R. and Fulkerson, D. R. )1963( “Flows in networks”, Journal of the Franklin Institute, Vol. 275, pp. 152.
- Giannakos, L., Mintsis, E., Basbas, S., Mintsis, G. and Taxiltaris, C. (2017) “Simulating traffic and environmental effects of pedestrianization and traffic management. a comparison between static and dynamic traffic assignment”, Transportation Research Procedia, Vol. 24, No. 2016, pp. 313–320.
- Gupta, A. K. and Redhu, P. (2014) “Analysis of a modified two-lane lattice model by considering the density difference effect”, Communications in Nonlinear Science and Numerical Simulation, Vol. 19, No. 5, pp. 1600–1610.
- Hajiahmadi, M., Haddad, J., De Schutter, B.  and Geroliminis, N. (2013) “Optimal hybrid macroscopic traffic control for urban regions: perimeter and switching signal plans controllers”, European Control Conference (Ecc), Vol.23, No. 2, pp. 3500–3505.
- Korfant, M. and Gogola, M. (2017) “Possibilities of using traffic planning software in Bratislava”, Procedia Engineering Vol. 192, pp. 433–438.
- Krajzewicz, D., Bonert, M. and Wagner, P. (2006) “The open source traffic simulation package SUMO”, RoboCup 2006 Infrastructure Simulation Competition, pp. 1–5.
- moore, e. j., kichainukon, w. and phalavonk, u. (2013) “Maximum flow in road networks with speed-dependent capacities - Application to Bangkok traffic”, Songklanakarin Journal of Science and Technology, Vol. 35, No. 4, pp. 489–499.
- Peng, G. (2013) “A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-lane system”, Nonlinear Dynamics, Vol. 73, No. 1, pp. 1035–1043.
- Rakkesh, S. T., Weerasinghe, A. R. and Ranasinghe, R. A. C. (2016) “Effective urban transport planning using multi-modal traffic simulations approach”, 2nd International Moratuwa Engineering Research Conference, MERCon 2016, pp. 303–308.
- Redhu, P. and Gupta, A. K. (2015a) “Delayed-feedback control in a lattice hydrodynamic model”, Communications in Nonlinear Science and Numerical Simulation, Vol. 27, No. 1–3, pp. 263–270.
- Redhu, P. and Gupta, A. K. (2015b) “Jamming transitions and the effect of interruption probability in a lattice traffic flow model with passing”, Physica A: Statistical Mechanics and Its Applications, Vol. 421, pp. 249–260.
- Redhu, P. and Gupta, A. K. (2016) “Effect of forward looking sites on a multi-phase lattice hydrodynamic model”, Physica A: Statistical Mechanics and Its Applications, Vol. 445, pp. 150–160.
- Tang, T. Q., Huang, H. J., Wu, W. X. and Wu, Y. H. (2015) “Analyzing trip cost with no late arrival under car-following model”, Measurement: Journal of the International Measurement Confederation, Vol. 64, pp. 123–129.
- Tang, T. Q., Li, J. G., Yang, S. C. and Shang, H. Y. (2015) “Effects of on-ramp on the fuel consumption of the vehicles on the main road under car-following model”, Physica A: Statistical Mechanics and Its Applications, Vol. 419, pp. 293–300.
- Tang, T. Q., Shi, W. F., Shang, H. Y. and Wang, Y. P. (2014) “An extended car-following model with consideration of the reliability of inter-vehicle communication”, Measurement: Journal of the International Measurement Confederation, Vol. 58, pp. 286–293.
- Tang, T. Q., Xu, K. W., Yang, S. C.  and Shang, H. Y. (2015) “Influences of battery exchange on the vehicle’s driving behavior and running time under car-following model”, Measurement: Journal of the International Measurement Confederation, Vol. 59, pp. 30–37
- Tang, T. Q., Yu, Q., Yang, S. C. and Ding, C.  (2015) “Impacts of the vehicle’s fuel consumption and exhaust emissions on the trip cost allowing late arrival under car-following model”, Physica A: Statistical Mechanics and Its Applications, Vol. 431, pp. 52–62.
- Thonhofer, E., Palau, T., Kuhn, A., Jakubek, S. and Kozek, M. (2018) “Macroscopic traffic model for large scale urban traffic network design”, Simulation Modelling Practice and Theory, Vol. 80, pp. 32–49.
- Tonguz, O. K., Viriyasitavat, W. and Fan, B. (2009) “Modeling urban traffic: a cellular automata approach”, Communications Magazine, IEEE, Vol. 47, No. 5, pp. 142–150.
- Wang, C., Li, X., Zhou, X., Wang, A. and Nedjah, N. (2016) “Soft computing in big data intelligent transportation systems”, Applied Soft Computing, Vol. 38, pp. 1099–1108.
- Yisheng, L., Duan, Y. and Kang, W. (2015) “Traffic flow prediction with big data : a deep learning approach”, IEEE Transactions on Intelligent Transportation Systems, Vol. 16, No. 2, pp. 865–873.
- عباسی، سید حمید و مهدی یعقوبی (2012) “یک روش پیشنهادی برای انتخاب گره اتصال برای بهبود نتایج تخصیص ترافیک،مطالعه موردی شهر مشهد”, فصلنامه مهندسی حمل و نقل، سال چهارم، شماره سوم، ص. 259-270.