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Calibrating floor field cellular automaton models for pedestrian dynamics by using likelihood function optimization

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  • Lovreglio, Ruggiero
  • Ronchi, Enrico
  • Nilsson, Daniel

Abstract

The formulation of pedestrian floor field cellular automaton models is generally based on hypothetical assumptions to represent reality. This paper proposes a novel methodology to calibrate these models using experimental trajectories. The methodology is based on likelihood function optimization and allows verifying whether the parameters defining a model statistically affect pedestrian navigation. Moreover, it allows comparing different model specifications or the parameters of the same model estimated using different data collection techniques, e.g. virtual reality experiment, real data, etc. The methodology is here implemented using navigation data collected in a Virtual Reality tunnel evacuation experiment including 96 participants. A trajectory dataset in the proximity of an emergency exit is used to test and compare different metrics, i.e. Euclidean and modified Euclidean distance, for the static floor field. In the present case study, modified Euclidean metrics provide better fitting with the data. A new formulation using random parameters for pedestrian cellular automaton models is also defined and tested.

Suggested Citation

  • Lovreglio, Ruggiero & Ronchi, Enrico & Nilsson, Daniel, 2015. "Calibrating floor field cellular automaton models for pedestrian dynamics by using likelihood function optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 308-320.
    • Handle: RePEc:eee:phsmap:v:438:y:2015:i:c:p:308-320
    DOI: 10.1016/j.physa.2015.06.040
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    1. Weifeng, Yuan & Kang Hai, Tan, 2007. "A novel algorithm of simulating multi-velocity evacuation based on cellular automata modeling and tenability condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 250-262.
    2. Anders Johansson & Dirk Helbing & Pradyumn K. Shukla, 2007. "Specification Of The Social Force Pedestrian Model By Evolutionary Adjustment To Video Tracking Data," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(supp0), pages 271-288.
    3. Ezaki, Takahiro & Yanagisawa, Daichi & Ohtsuka, Kazumichi & Nishinari, Katsuhiro, 2012. "Simulation of space acquisition process of pedestrians using Proxemic Floor Field Model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 291-299.
    4. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    5. Guo, Ren-Yong & Huang, Hai-Jun & Wong, S.C., 2012. "Route choice in pedestrian evacuation under conditions of good and zero visibility: Experimental and simulation results," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 669-686.
    6. Yue, Hao & Guan, Hongzhi & Zhang, Juan & Shao, Chunfu, 2010. "Study on bi-direction pedestrian flow using cellular automata simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 527-539.
    7. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, January.
    8. Kirchner, Ansgar & Schadschneider, Andreas, 2002. "Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 260-276.
    9. Fu, Zhijian & Zhou, Xiaodong & Zhu, Kongjin & Chen, Yanqiu & Zhuang, Yifan & Hu, Yuqi & Yang, Lizhong & Chen, Changkun & Li, Jian, 2015. "A floor field cellular automaton for crowd evacuation considering different walking abilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 294-303.
    10. Guo, Wei & Wang, Xiaolu & Liu, Mengting & Cheng, Yuan & Zheng, Xiaoping, 2015. "Modification of the dynamic floor field model by the heterogeneous bosons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 358-366.
    11. Kirchner, Ansgar & Klüpfel, Hubert & Nishinari, Katsuhiro & Schadschneider, Andreas & Schreckenberg, Michael, 2003. "Simulation of competitive egress behavior: comparison with aircraft evacuation data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(3), pages 689-697.
    12. Antonini, Gianluca & Bierlaire, Michel & Weber, Mats, 2006. "Discrete choice models of pedestrian walking behavior," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 667-687, September.
    13. Guo, Ren-Yong & Wong, S.C. & Huang, Hai-Jun & Zhang, Peng & Lam, William H.K., 2010. "A microscopic pedestrian-simulation model and its application to intersecting flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 515-526.
    14. Li, Xiaomeng & Chen, Tao & Pan, Lili & Shen, Shifei & Yuan, Hongyong, 2008. "Lattice gas simulation and experiment study of evacuation dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5457-5465.
    15. Cirillo, Emilio N.M. & Muntean, Adrian, 2013. "Dynamics of pedestrians in regions with no visibility— A lattice model without exclusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3578-3588.
    16. Burstedde, C & Klauck, K & Schadschneider, A & Zittartz, J, 2001. "Simulation of pedestrian dynamics using a two-dimensional cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 507-525.
    17. Lovreglio, Ruggiero & Ronchi, Enrico & Borri, Dino, 2014. "The validation of evacuation simulation models through the analysis of behavioural uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 166-174.
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    Cited by:

    1. Xia Zhong Zheng & Dan Tian & Ming Zhang & Chaoran Hu & Liyang Tong, 2019. "A Stairs Evacuation Model Considering the Pedestrian Merging Flows," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-11, December.
    2. Lovreglio, Ruggiero & Fonzone, Achille & dell’Olio, Luigi, 2016. "A mixed logit model for predicting exit choice during building evacuations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 92(C), pages 59-75.
    3. Lovreglio, Ruggiero & Spearpoint, Michael & Girault, Mathilde, 2019. "The impact of sampling methods on evacuation model convergence and egress time," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 24-34.
    4. Liu, Yixue & Mao, Zhanli, 2022. "An experimental study on the critical state of herd behavior in decision-making of the crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 595(C).

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