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.).

Traffic lights, clumping and QBDs

Meini B.
2020-01-01

Abstract

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.).
2020
Finch, S.; Latouche, G.; Louchard, G.; Meini, B.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1062218
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