For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?

Details For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration? For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?

2006-07-31

arxiv.org/abs/math/0607759v3

Mathematics

Combinatorics

4 pages

Scientific paper

For any initial configuration of fewer than N/2 cars the BML model will self
organize to attain speed one. On the other hand, there is a configuration of
size m in which no car can move if and only if m is at least 2N.

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