Alapedes 5/7/2000 EXPLICIT COMPUTATION OF A MAXPLUS LYAPUNOV EXPONENT GIVING THE AVERAGE SPEED ON A CIRCULAR TRAFFIC LINE WITHOUT OVERTAKING
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چکیده
We give a stochastic maxplus model of the traffic on a circular road without overtaking. The average speed is a maxplus Lyapounov exponent. We obtain a complete characterization of the stationary regime. Based on this characterization we obtain an explicit formula for the average speed and a very simple asymptotic result when the number of cars grows to infinity. We present numerical simulations of the evolution of the system using the maxplus toolbox of Scilab which confirm the theoretical results.
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تاریخ انتشار 2000