The time-state diagrams below show the differences that are caused by changing the update scheme of the cellular automata model without changing any other parameters. The rule used, rule 30, is the same for each diagram.
Often, models like cellular automata are used to help understanding of processes that work in real life. By building simplified models, new insights can be learned. There is always a question of how these models should be in order to adequately describe what is being modelled. The use of asynchronous models can allow an extra level of realism in the model. All of the schemes described above have their part in real life. The random independent scheme could be appropriate for modelling social networks or communication in computer networks. The clocked scheme could be appropriate for modelling insect colonies, while the self-synchronous scheme could be applied to neural tissue.
H. Bersini and V. Detours, 1994. Asynchrony induces stability in cellular automata based models, Proceedings of the IVth Conference on Artificial Life , pages 382-387, Cambridge, MA, July 1994, vol 204, no. 1-2, pp. 70-82.
Cornforth, D, Green, D, & Newth, D 2005, Ordered Asynchronous Processes in Multi-Agent Systems, Physica D, vol 204, no. 1-2, pp. 70-82.
Cornforth, D, Green, DG, Newth D & Kirley M 2002, Do Artificial Ants March in Step? Ordered Asynchronous Processes and Modularity in Biological Systems. In Standish, Bedau, Abbass, Proceedings of the Eighth International Conference on Artificial Life, Sydney, pp. 28-32
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