Abstract
The first part of this paper contains a brief introduction to conservation law models of traffic flow on a network of roads. Globally optimal solutions and Nash equilibrium solutions are reviewed, with several groups of drivers sharing different cost functions. In the second part we consider a globally optimal set of departure rates, for different groups of drivers but on a single road. Necessary conditions are proved, which lead to a practical algorithm for computing the optimal solution.
Original language | English (US) |
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Pages (from-to) | 583-613 |
Number of pages | 31 |
Journal | Mathematics In Engineering |
Volume | 1 |
Issue number | 3 |
DOIs | |
State | Published - 2019 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematical Physics
- Applied Mathematics