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arXiv · 1911.01134

Traffic lights, clumping and QBDs

Steven Finch·Guy Latouche·Guy Louchard·Beatrice Meini
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Abstract

In discrete time, $\ell$-blocks of red lights are separated by $\ell$-blocks of green lights. Cars arrive at random. \ We seek the distribution of maximum line length of idle cars, and justify conjectured probabilistic asymptotics algebraically for $2\leq\ell\leq3$ and numerically for $\ell\geq4$.

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Steven Finch, Guy Latouche, Guy Louchard, Beatrice Meini. 2019-11-04. Traffic lights, clumping and QBDs. https://arxiv.org/abs/1911.01134

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