Cellular automata
2018-05-25
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Cellular automata simulation, single lane and double lane, from the analysis of the composition and rules of cellular automata, the standard cellular automata should have the following characteristics (Xie Huimin, 1994; Li Caiwei, 1997): (1) homogeneity, homogeneity, homogeneity reflected in the cell space, the change of each cell obeys the same law, that is, the rules of cellular automata, or called the conversion function; Homogeneity means that the cells are distributed in the same way, with the same size and shape, and regular spatial distribution; (2) spatial dispersion: the cells are distributed in the discrete cell space divided according to certain rules; (3) time dispersion: the evolution of the system is carried out step by step according to the equal interval time, and the time variable t can only take the equal step time point, which is similar to the integer form of T0, t + L, t + 2 Moreover, the state configuration at time t only affects the state configuration at the next time, that is, time t + 1, while the state configuration at time t + 2 is completely determined by the state configuration at time t + 1 and the brick exchange function defined above. The time variable of cellular automata is different from the time variable t in differential equation, where t is usually a continuous variable; (4) discrete finite state: the state of cellular automata can only take finite (k) discrete values (S1, S2,..., SK). Compared with the continuous state dynamic system, it can be transformed into symbol sequence without coarse-grained processing. In practical application, some continuous variables need to be discretized, such as classification and grading, in order to establish automatic cell model
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