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Title: Comparing numerical integration schemes for a car-following model with real-world data (English)
Author: Přikryl, Jan
Author: Vaniš, Miroslav
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016
Issue: 2016
Pages: 89-96
Category: math
Summary: A key element of microscopic traffic flow simulation is the so-called car-following model, describing the way in which a typical driver interacts with other vehicles on the road. This model is typically continuous and traffic micro-simulator updates its vehicle positions by a numerical integration scheme. While increasing the order of the scheme should lead to more accurate results, most micro-simulators employ the simplest Euler rule. In our contribution, inspired by [1], we will provide some additional details that have to be addressed when implementing higher-order numerical integration schemes for CFMs and we will show that the theoretical gain of higher-order methods is unfortunately masked out by the stochastic nature of real-world traffic flow. (English)
Keyword: numerical integration
Keyword: Runge-Kutta
Keyword: Euler
Keyword: trapezoid
Keyword: ballistic update
Keyword: car-following model
Keyword: intelligent driver model
Keyword: traffic flow
MSC: 65L06
MSC: 65L07
MSC: 68Q17
DOI: 10.21136/panm.2016.11
Date available: 2017-06-20T13:02:52Z
Last updated: 2017-07-13
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