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Traffic lights, clumping and QBDs

par Finch, Steven;Latouche, Guy ;Louchard, Guy ;Meini, Beatrice
Référence Stochastic models
Publication Publié, 2020

Article révisé par les pairs

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Résumé :

In discrete time, (Formula presented.) -blocks of red lights are separated by (Formula presented.) -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 (Formula presented.) and numerically for (Formula presented.).