Abstract
Social force based modeling of pedestrians is an advanced microscopic approach for simulating the dynamics of pedestrian motion. The developments presented in this paper extend the widespread social force model to include improved velocity-dependent interaction forces. This modeling considers interactions of pedestrians with both static and dynamic obstacles, which can be also be effectively used to model pedestrian-vehicle interactions. The superiority of the proposed model is shown by comparing it with existing ones considering several thought experiments. Moreover, we apply an evolutionary algorithm to solve the model calibration problem, considering two real-world instances. The objective function for this problem comes from a set of highly nonlinear coupled differential equations. An interesting feature that came out is that the solutions are multi-modal. This makes this problem an excellent example for evolutionary algorithms and other such population based heuristics algorithms.
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References
Chattaraj, U., Seyfried, A., Chakroborty, P.: Comparison of pedestrian fundamental diagram across cultures. Adv. Complex Systems 12, 393–405 (2009)
Deb, K.: Multi-objective optimization using evolutionary algorithms. John Wiley & Sons Ltd., Chichester (2001)
Deb, K., Agarwal, R.B.: Simulated binary crossover for continuous search space. Complex Systems 9, 115–148 (1995)
Helbing, D.: A mathematical model for the behavior of pedestrians. Behavioral Science 36, 289–310 (1991)
Helbing, D.: Verkehrsdynamik. Springer, Berlin (1997)
Helbing, D.: Traffic and related self-driven many-particle systems. Review of Modern Physics 73, 1067–1141 (2001)
Helbing, D., Farkas, I., Vicsek, T.: Simulating dynamical features of escape panic. Nature 407, 487–490 (2000)
Helbing, D., Molnár, P.: Social force model for pedestrian dynamics. Physical Review E 51, 4282–4286 (1995)
Hughes, R.: A continuum theory for the flow of pedestrians. Transportation Research B 36, 507–535 (2002)
Johansson, A., Helbing, D., Shukla, P.: Specification of the social force pedestrian model by evolutionary adjust- ment to video tracking data. Adv. Complex Systems 10, 271–288 (2007)
Lewin, K.: Field Theory in Social Science. Harper & Brothers, New York (1951)
Okazaki, S.: A study of pedestrian movement in architectural space, Part 1: Pedestrian movement by the application on of magnetic models. Trans. of A.I.J. (283), 111–119 (1979)
Shukla, P.K.: Modeling and Simulation of Pedestrians. Masters thesis, Indian Institute of Technology Kanpur, India (2005)
Tilch, B., Helbing, D.: Evaluation of single vehicle data in dependence of the vehicle-type, lane, and site. In: Helbing, D., Herrmann, H., Schreckenberg, M., Wolf, D. (eds.) Traffic and Granular Flow 1999, pp. 333–338. Springer, Berlin (2000)
Yu, W.J., Chen, R., Dong, L.Y., Dai, S.Q.: Centrifugal force model for pedestrian dynamics. Phys. Rev. EÂ 72(2), 026112 (2005)
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Shukla, P.K. (2010). On Modeling and Evolutionary Optimization of Nonlinearly Coupled Pedestrian Interactions. In: Di Chio, C., et al. Applications of Evolutionary Computation. EvoApplications 2010. Lecture Notes in Computer Science, vol 6024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12239-2_3
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DOI: https://doi.org/10.1007/978-3-642-12239-2_3
Publisher Name: Springer, Berlin, Heidelberg
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