has recently classified all smoothness terms which involve first-order derivatives of the flowfield u(x, t) and of the image grey-value function g(x, t). The physically plausible smoothness terms belonging to this class are known from the work of and Nagel 0987). In this paper we discuss the possi
Optimization of traffic flow conditions by minimization of quadratic functionals
β Scribed by I. Bonzani; R. Porro
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 533 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
This paper deals with a scalar hydrodynamic model of traffic flow. In this model, the driver adapts his velocity to a fictitious density that he feels in nonequilibrium conditions, and he makes an effort to optimize the comfort and to minimize fuel consumption and gas emission. These optimization problems are here considered and analyzed by introducing and minimizing a quadratic functional. The analysis is developed on the basis of suitable simulations. (~) 2002 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
## Abstract In this paper we provide a characterization of the nonnegativity of a discrete quadratic functional β with fixed right endpoint in the optimal control setting. This characterization is closely related to the kernel condition earlier introduced by M. Bohner as a part of a focal points de