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math.PR2019
Traffic lights, clumping and QBDs
Steven Finch, Guy Latouche, Guy Louchard +1
In discrete time, -blocks of red lights are separated by -blocks of green lights. Cars arrive at random. \ We seek the distribution of maximum line length of idle cars,…
math.PR2019
Strong convergence to two-dimensional alternating Brownian motion processes
Guy Latouche, Giang T. Nguyen, Oscar Peralta
Flip-flop processes refer to a family of stochastic fluid processes which converge to either a standard Brownian motion (SBM) or to a Markov modulated Brownian motion (MMBM). In re…