Macroscopic Traffic Modeling with the Finite Difference Method
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1996-03-15
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Abstract:The Intelligent Transportation System (ITS) Program was established to improve the efficiency and effectiveness of surface transportation in the United States. One aspect of this program is Advanced Traffic Management Systems (ATMS). As part of the ATMS research, the Brookhaven National Laboratory (BNL) is developing a congestion forecasting model for the Long Island INFORM management system. The BNL computer model developed for this project is called ATOP, Advanced Traffic Occupancy Prediction. Several macroscopic models, based on the solution of partial differential equation of conservation of vehicles by finite difference method, were tested using actual traffic data. The functional form, as well as the parameters, of the equation of state which describes the relation between traffic speed and traffic density, were determined for a section of the Long Island Expressway. The Lax method and forward difference technique were applied. The results of extensive tests showed that the Lax method, in addition to giving very good agreement with traffic data, produces stable solutions. Prepared under contract DE-AC02-76CH00016. 15 figures, 1 table, 12 references. 1372k, 30p.
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