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arXiv · 1010.5747

Traffic Network Optimum Principle - Minimum Probability of Congestion Occurrence

Boris S. Kerner
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Abstract

We introduce an optimum principle for a vehicular traffic network with road bottlenecks. This network breakdown minimization (BM) principle states that the network optimum is reached, when link flow rates are assigned in the network in such a way that the probability for spontaneous occurrence of traffic breakdown at one of the network bottlenecks during a given observation time reaches the minimum possible value. Based on numerical simulations with a stochastic three-phase traffic flow model, we show that in comparison to the well-known Wardrop's principles the application of the BM principle permits considerably greater network inflow rates at which no traffic breakdown occurs and, therefore, free flow remains in the whole network.

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Boris S. Kerner. 2010-12-24. Traffic Network Optimum Principle - Minimum Probability of Congestion Occurrence. https://doi.org/10.1088/1751-8113%2F44%2F9%2F092001

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