Traffic Lights, Clumping And Qbds

STOCHASTIC MODELS(2020)

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摘要
In discrete time, l-blocks of red lights are separated by l-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 <= l <= 3 and numerically for l > 4.
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关键词
Traffic lights, maximum queue length, clumping heuristic, quasi-birth-and-death processes
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