Emergent crowd behaviour analysis via interrelationship force modelling in pedestrian dynamics during evacuation processes using a bond graph
DOI:
https://doi.org/10.15282/mekatronika.v8i1.13472Keywords:
Bond graph modelling, Pedestrian dynamics, Social force model, Crowd evacuationAbstract
Crowd dynamics simulation is important in transport station management, building evacuation, and massive public event safety management. Even though popular techniques like social force modelling and cellular automata with machine intelligence were previously employed to model evacuation, the limited representation of forces makes it difficult to comprehend individual behaviours affecting the overall crowd dynamics. The inability of the existing models to capture the crowd momentum inhibits the comprehension of crowd behaviour impact on crowd turbulence. To understand the emergent crowd behaviour by capturing the complex interplay of forces and energies associated with evacuation in a constrained scenario, this study introduces a bond graph model to represent interrelationship forces in pedestrian dynamics during evacuations. We propose transforming the bond graph model into a translation mechanical sub-model for performing a thorough analysis of momentum and effort variable rate changes. The simulations are conducted using 20SIM software, examining diverse scenarios with varying masses, locations, and closeness to exits to understand how people behave in different situations. Results obtained from the proposed model demonstrate that spatial constraints near walls affect momentum and the effort exerted toward surrounding pedestrians. Higher density of crowd leads to increased urgency to evacuate and results in longer time to reach the steady state. The proximity-based layered view shows pedestrians closest to the chosen pedestrian exerting the highest effort at a steady state. Additionally, when the chosen pedestrian is heavier than others, the effort exerted by him tends to be positive. Conversely, encountering heavier individuals may hinder movement, resulting in negative initial effort values. This study not only advances our understanding of pedestrian dynamics but also lays the groundwork for future research into the complex interrelationship forces at play in crowd movements and behaviours.
References
[1] Liu J, Chen Y, Chen Y. Emergency and disaster management-crowd evacuation research. Journal of Industrial Information Integration. 2021;21:100191. https://doi.org/10.1016/j.jii.2020.100191
[2] Abir IM, Ibrahim AM, Toha SF, Shafie AA. A review on the hospital evacuation simulation models. International Journal of Disaster Risk Reduction. 2022;77:103083. https://doi.org/10.1016/j.ijdrr.2022.103083
[3] Helbing D, Buzna L, Johansson A, Werner T. Self-organized pedestrian crowd dynamics: Experiments, simulations, and design solutions. Transportation Science. 2005;39(1):1-24. Available: https://api.semanticscholar.org/CorpusID:14262793
[4] Liu Q. A social force model for the crowd evacuation in a terrorist attack. Physica A: Statistical Mechanics and its Applications. 2018;502:315-330. https://doi.org/10.1016/j.physa.2018.02.136
[5] Schadschneider A, Chowdhury D, Nishinari K. Pedestrian Dynamics. Elsevier; 2011. https://doi.org/10.1016/B978-0-444-52853-7.00011-7
[6] Rasouli A. Pedestrian simulation: A review. 2021. Available: http://arxiv.org/abs/2102.03289
[7] Khan S, Deng Z. Agent-based crowd simulation: An in-depth survey of determining factors for heterogeneous behavior. The Visual Computer. 2024. https://doi.org/10.1007/s00371-024-03503-2
[8] Yan D, Ding G, Huang K, Bai C, He L, Zhang L. Enhanced crowd dynamics simulation with deep learning and improved social force model. Electronics. 2024;13(5). https://doi.org/10.3390/electronics13050934
[9] Haghani M, Sarvi M. Stated and revealed exit choices of pedestrian crowd evacuees. Transportation Research Part B: Methodological. 2017;95:238-259. https://doi.org/10.1016/j.trb.2016.10.019
[10] Wang GN, Chen T, Chen JW, Deng K, Wang RD. Simulation of crowd dynamics in pedestrian evacuation concerning panic contagion: A cellular automaton approach. Chinese Physics B. 2022;31(6). https://doi.org/10.1088/1674-1056/ac4a67
[11] Helbing D, Farkas I, Vicsek T. Simulating dynamical features of escape panic. Nature. 2000;407(6803):487-490. https://doi.org/10.1038/35035023
[12] Yang X, Dong H, Wang Q, Chen Y, Hu X. Guided crowd dynamics via modified social force model. Physica A: Statistical Mechanics and its Applications. 2014;411:63-73. https://doi.org/10.1016/j.physa.2014.05.068
[13] Wei-Guo S, Yan-Fei Y, Bing-Hong W, Wei-Cheng F. Evacuation behaviors at exit in CA model with force essentials: A comparison with social force model. Physica A. 2006;371(2):658-666. https://doi.org/10.1016/j.physa.2006.03.027
[14] Oster GF, Perelson AS, Katchalsky A. Network thermodynamics: Dynamic modelling of biophysical systems. Quarterly Reviews of Biophysics. 1973;6(1):1-134. https://doi.org/10.1017/S0033583500000081
[15] Farrell R, Moallemi M, Wang S, Xiang W, Wainer G. Modeling and simulation of crowd using cellular discrete event systems theory. In: Proceedings of the 2013 ACM SIGSIM Principles of Advanced Discrete Simulation; 2013. p. 159-168. https://doi.org/10.1145/2486092.2486114
[16] Li D, Han B. Behavioral effect on pedestrian evacuation simulation using cellular automata. Safety Science. 2015;80:41-55. https://doi.org/10.1016/j.ssci.2015.07.003
[17] Liang H, Yang L, Du J, Shu CW, Wong SC. Modelling crowd pressure and turbulence through a mixed-type continuum approach. Transportation B. 2024. https://doi.org/10.1080/21680566.2024.2328774
[18] Liu T, Yang X, Wang Q, Zhou M, Xia S. A fuzzy-theory-based cellular automata model for pedestrian evacuation from a multiple-exit room. IEEE Access. 2020;8:106334-106345. https://doi.org/10.1109/ACCESS.2020.3000606
[19] Yu T, Yang HD. Simulation of running crowd dynamics: Potential-based cellular automata model. IEEE Access. 2023;11:138602-138613. https://doi.org/10.1109/ACCESS.2023.3336914
[20] Fu L, Song W, Lo S. A fuzzy-theory-based method for studying the effect of information transmission on nonlinear crowd dispersion dynamics. Communications in Nonlinear Science and Numerical Simulation. 2017;42:682-698. https://doi.org/10.1016/j.cnsns.2016.06.025
[21] Helbing D, Johansson A, Al-Abideen HZ. Crowd turbulence: The physics of crowd disasters. Physical Review E. 2007. Available: http://arxiv.org/abs/0708.3339
[22] Paynter HM. Analysis and Design of Engineering Systems. Cambridge, MA: MIT Press; 1961. Available: https://api.semanticscholar.org/CorpusID:106867876
[23] Uddin SU, Rideout G. Dynamic modelling and analysis of solar powered reverse osmosis desalination system for Pakistan using the bond graph model. In: IEEE International IoT, Electronics and Mechatronics Conference; 2022. https://doi.org/10.1109/IEMTRONICS55184.2022.9795841
[24] Cellier FE. Modeling chemical reaction kinetics. In: Continuous System Modeling. New York: Springer; 1991. p. 347-416. https://doi.org/10.1007/978-1-4757-3922-0_9
[25] Cheng PJ, Ting HY, Huang HP. Importing the human factor into safe human-robot interaction function using the bond graph method. Robotica. 2021;39(5):772-786. https://doi.org/10.1017/S0263574720000715
[26] Benmoussa S, Bouamama BO, Merzouki R. Bond graph approach for plant fault detection and isolation: Application to intelligent autonomous vehicle. IEEE Transactions on Automation Science and Engineering. 2014;11(2):585-593. https://doi.org/10.1109/TASE.2013.2288697
[27] Helbing D, Molnar P. Social force model for pedestrian dynamics. Physical Review E. 1995;51(5):4282-4286. https://doi.org/10.1103/PhysRevE.51.4282
[28] Chen C, Sun H, Lei P, Zhao D, Shi C. An extended model for crowd evacuation considering pedestrian panic in artificial attack. Physica A: Statistical Mechanics and its Applications. 2021;571:125833. https://doi.org/10.1016/j.physa.2021.125833
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