Regular Article

The European Physical Journal B

, 87:27

Quantitative comparison between crowd models for evacuation planning and evaluation

  • Vaisagh ViswanathanAffiliated withSchool of Computer Engineering, Nanyang Technological University Email author 
  • , Chong Eu LeeAffiliated withDivision of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University
  • , Michael Harold LeesAffiliated withSchool of Computer Engineering, Nanyang Technological UniversityComputational Science, University of AmsterdamComplexity Program, Nanyang Technological University
  • , Siew Ann CheongAffiliated withDivision of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological UniversityComplexity Program, Nanyang Technological University
  • , Peter M. A. SlootAffiliated withSchool of Computer Engineering, Nanyang Technological UniversityComputational Science, University of AmsterdamComplexity Program, Nanyang Technological UniversityNational Research Institute ITMO

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Abstract

Crowd simulation is rapidly becoming a standard tool for evacuation planning and evaluation. However, the many crowd models in the literature are structurally different, and few have been rigorously calibrated against real-world egress data, especially in emergency situations. In this paper we describe a procedure to quantitatively compare different crowd models or between models and real-world data. We simulated three models: (1) the lattice gas model, (2) the social force model, and (3) the RVO2 model, and obtained the distributions of six observables: (1) evacuation time, (2) zoned evacuation time, (3) passage density, (4) total distance traveled, (5) inconvenience, and (6) flow rate. We then used the DISTATIS procedure to compute the compromise matrix of statistical distances between the three models. Projecting the three models onto the first two principal components of the compromise matrix, we find the lattice gas and RVO2 models are similar in terms of the evacuation time, passage density, and flow rates, whereas the social force and RVO2 models are similar in terms of the total distance traveled. Most importantly, we find that the zoned evacuation times of the three models to be very different from each other. Thus we propose to use this variable, if it can be measured, as the key test between different models, and also between models and the real world. Finally, we compared the model flow rates against the flow rate of an emergency evacuation during the May 2008 Sichuan earthquake, and found the social force model agrees best with this real data.

Keywords

Statistical and Nonlinear Physics