کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1131963 | 1488986 | 2013 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A variational formulation for higher order macroscopic traffic flow models of the GSOM family
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کلمات کلیدی
موضوعات مرتبط
علوم انسانی و اجتماعی
علوم تصمیم گیری
علوم مدیریت و مطالعات اجرایی
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چکیده انگلیسی
The GSOM (Generic second order modelling) family of traffic flow models combines the LWR model with dynamics of driver-specific attributes and can be expressed as a system of conservation laws. The object of the paper is to show that a proper Lagrangian formulation of the GSOM model can be recast as a Hamilton-Jacobi equation, the solution of which can be expressed as the value function of an optimal control problem. This value function is interpreted as the position of vehicles, and the optimal trajectories of the optimal control formulation can be identified with the characteristics. Further the paper analyzes the initial and boundary conditions, proposes a generalization of the inf-morphism and the Lax-Hopf formulas to the GSOM model, and considers numerical aspects.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Transportation Research Part B: Methodological - Volume 57, November 2013, Pages 245-265
Journal: Transportation Research Part B: Methodological - Volume 57, November 2013, Pages 245-265
نویسندگان
Jean-Patrick Lebacque, Megan M. Khoshyaran,