| 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 |
| Year:
|
|
| 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:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703002 |
| . |
