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Regular version of the site

Book chapter

Non-ergodicity and non-Markovianity of some simple traffic flow models

P. 269-272.

The celebrated Nagel–Schreckenberg model allows to study a reasonably 
large class of one-dimensional traffic flow models with parallel updates.
Unfortunately further generalizations of this construction turn out
to be not especially fruitful. Namely, numerical simulations of such 
generalizations did not demonstrate stable behavior qualitatively 
different from the original model, and more to the point their 
mathematical treatment is still not available even up to nowadays. 
I'll discuss several features of these models which partially explain 
the failure of both numerical and mathematical attempts to study 
generalizations of the Nagel–Schreckenberg model.