For citation:
Malinetskii G. G., Stepantsov M. E. Cellular automata for simulations of crowd dynamics. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 5, pp. 75-79. DOI: 10.18500/0869-6632-1997-5-5-75-79
Cellular automata for simulations of crowd dynamics
A full mathematical description of the behaviour of а person is not available at present time, because of a great number of factors, both rational and irrational, that have influence оп it. On the other hand, the behaviour of а group in а simple situation can be easily predicted and described statistically. A cellular automaton presented in the paper allows simulations of а crowd of people with an intention to move in a certain direction (i. e. in an underground passage, in a building in case of panic etc.) with some obstacles (walls, for example) on their way. We also propose а variation of the cellular automaton considering the difference of velocities of the difference of velocities of people in the crowd.
- Toffoli T, Margolus N. Cellular Automata Machines: A New Environment for Modeling. Cambridge: MIT Press; 1987. 259 p.
- Frisch U, Hasslacher B, Pomeau Y. Lattice—gas Automata for Navier—Stokes equation. Phys. Rev. Lett. 1986;56(14):1505-1508. DOI: 10.1103/PhysRevLett.56.1505.
- Malinetskii GG, Sttepantsov ME. Cellular automata for the calculation of some gas-dynamic processes. Comp. Math. Mathematical Phys. 1996;36(5):669-675.
- Malinetskii GG, Sttepantsov ME. Application of lattice gas class models to solve gas dynamics problems. Izvestiya VUZ. Applied Nonlinear Dynamics. 1996;4(4-5):59-64.
- Kvasnikov IА. Thermodynamics and Statistical Physics. М.: Moscow University Press; 1991. 793 p.
- 172 reads