Title :
Optimum principle for a vehicular traffic network: Minimum probability of congestion
Author :
Kerner, Boris S.
Author_Institution :
GR/PTF, Daimler Co., Sindelfingen, Germany
fDate :
June 29 2011-July 1 2011
Abstract :
We discuss an optimum principle for a vehicular traffic network with road bottlenecks introduced by the author recently [B.S. Kerner, J. Phys. A: Math. Theor. 44, 092001 (2011)]. 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.
Keywords :
minimisation; numerical analysis; probability; road traffic; road vehicles; Wardrop´s principles; link flow rates; minimum congestion probability; network breakdown minimization principle; numerical simulations; optimum principle; spontaneous occurrence; stochastic three-phase traffic flow model; vehicular road traffic network; Delay effects; Electric breakdown; Minimization; Optimization; Synchronization; Vehicle dynamics; Vehicles;
Conference_Titel :
Integrated and Sustainable Transportation System (FISTS), 2011 IEEE Forum on
Conference_Location :
Vienna
Print_ISBN :
978-1-4577-0990-6
Electronic_ISBN :
978-1-4577-0991-3
DOI :
10.1109/FISTS.2011.5973601