Abstract
Cellular automaton models for traffic simulation are discrete. And traditional continuous traffic models have limitations in simulating vehicles’ stochastic running behaviors. To this end, an integrated imaginary slope model with multiple stochastic and continuouse parameters was proposed. The imaginary slope of a leading vehicle took the S-shape of a deflection curve of a built-in beam. The imaginary slope limited its following vehicle’s running action in a gradual manner. The length of the imaginary slope kept changing. And the upper limit of a vehicle’s speed were determined by both entire and local environment as well as the random driving behavior. The simulation results showed that it had a fast enough calculation speed. It combined the continuousness of vehicle speeds and the randomization of the running behaviors uniformly, obeied the geometrical restriction conditions, and could give out the relationship curve of the average vehicle flow vs. average vehicle density.
Keywords
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References
Blue, V.J., Adler, J.L.: Cellular automata microsimulation for modeling bi-directional pedestrian walkways. Transportation Research Part B 35, 293–312 (2001)
Larraga, M.E., del Rio, J.A., Alvarez-lcaza, L.: Cellular automata for one-lane traffic flow modeling. Transportation Research Part C 13, 63–74 (2005)
Hafstein, S.F., Chrobok, R., Pottmeier, A., Schreckenberg, M., Mazur, F.C.: A high-resolution Cellular automata traffic simulation model with application in a freeway traffic information system. Computer-Aided Civil and Infrastructure Engineering 19, 338–350 (2004)
Sopasakis, A., Katsoulakis, M.A.: Stochastic modeling and simulation of traffic flow: asymmetric single exclusion process with Arrhenius look-ahead dynamics. Siam J. Appl. Math. 66(3), 921–924 (2006)
Kang, K.-P., Chang, G.-L.: A robust model for optimal time-of-day speed control at highway work zones. IEEE Transactions on Intelligent Transportation Systems 7(1), 115–123 (2006)
Nagatani, T.: Kinetic clustering and jamming transitions in a car-following model for bus route. Physica A 287(1-2), 302–312 (2000)
Nagel, K., Wagner, P., Woesler, R.: Still flowing: Approaches to traffic flow and traffic jam modeling. Operations Research 51(5), 681–710 (2003)
Roters, L., Usadel, K.D., Lubeck, S.: Critical behavior of a traffic flow model. Physical Review E 59(3), 2672–2676 (1999)
Wang, B.H., Hui, P.M., Hu, B.B., Wang, L.: The asymptotic steady states of deterministic one-dimensional traffic flow models. Physica B 279(1-3), 237–239 (2000)
Shamir, T.: How should an autonomous vehicle overtake a slower moving vehicle: design and analysis of an optimal trajectory. IEEE Transactions on Automatic Control 49(4), 607–610 (2004)
Xue, G.: Virtual slope mode of vehicles. Journal of Mechanical Strength 29(2), 341–345 (2007) (in Chinese)
Xue, G., Gu, H.: Simulating overtaking process with built-in beam deflection curve. Mechanics in Engineering 25(6), 31–32 (2003) (in Chinese)
Xue, G., Gu, H.: The built-in beam computer simulation model of freeway traffic flow problems. Journal of System Simulation 15(12), 1796–1798 (2003) (in Chinese)
Xue, G.: Built-in beam deflection curve model about basic overtaking process on expressway. Journal of Jiangsu Polytechnic University 17(2), 7–8 (2005) (in Chinese)
Xue, G.: A new one-dimensional lattice-free simulation model of overtaking. Computer Simulation (2005) (in Chinese)
Xue, G.: A kind of overtaking Criterion. Computer Simulation 23(12), 267–271 (2006) (in Chinese)
Xue, G., Gu, H.: The intersection traffic flow decoupled method based on virtual slope model. Journal of Jiangsu Polytechnic University 18(2), 44–48 (2006) (in Chinese)
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© 2012 Springer-Verlag GmbH Berlin Heidelberg
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Guoxin, X., Guodong, S. (2012). Synthetical Imaginary Slope Model for Traffic Flow Simulation with Stochastic and Continuous Changing Parameters. In: Zhang, Y. (eds) Future Communication, Computing, Control and Management. Lecture Notes in Electrical Engineering, vol 142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27314-8_45
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DOI: https://doi.org/10.1007/978-3-642-27314-8_45
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