Search Results - subject:"Lax–Hopf formula"

A fast Lax–Hopf algorithm to solve the Lighthill–Whitham–Richards traffic flow model on networks

Simoni, Michele D.; Claudel, Christian G. - In: Transportation science : a journal of the Institute for … 54 (2020) 6, pp. 1516-1534

Persistent link: https://www.econbiz.de/10012414394

Computation of the ''Enrichment'' of a Value Functions of an Optimization Problem on Cumulated Transaction-Costs through a Generalized Lax-Hopf Formula

Chen, Luxi - HAL - 2014

The Lax-Hopf formula simplifies the value function of an intertemporal optimization (infinite dimensional) problem … optimum, the Lax-Hopf formula implies that the enrichment is equal to the cost of the average transaction on the investment … temporal window. In this study, we generalize the Lax-Hopf formula when the transaction-cost function depends also on time and …

Persistent link: https://www.econbiz.de/10010899542

A partial differential equation formulation of Vickrey’s bottleneck model, part I: Methodology and theoretical analysis

Han, Ke; Friesz, Terry L.; Yao, Tao - In: Transportation Research Part B: Methodological 49 (2013) C, pp. 55-74

This paper is concerned with the continuous-time Vickrey model, which was first introduced in Vickrey (1969). This model can be described by an ordinary differential equation (ODE) with a right-hand side which is discontinuous in the unknown variable. Such a formulation induces difficulties with...

Persistent link: https://www.econbiz.de/10010636531

A variational formulation for higher order macroscopic traffic flow models of the GSOM family

Lebacque, Jean-Patrick; Khoshyaran, Megan M. - In: Transportation Research Part B: Methodological 57 (2013) C, pp. 245-265

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...

Persistent link: https://www.econbiz.de/10010719812

Dynamic user equilibrium based on a hydrodynamic model

Friesz, Terry L.; Han, Ke; Neto, Pedro A.; Meimand, Amir; … - In: Transportation Research Part B: Methodological 47 (2013) C, pp. 102-126

-analytically with the Lax–Hopf formula. This approach allows for an efficient computational scheme for large-scale networks. We embed …

Persistent link: https://www.econbiz.de/10010608657