Abstract | ||
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We discuss continuous traffic flow network models including traffic lights. A mathematical model for traffic light settings within a macroscopic continuous traffic flow network is presented, and theoretical properties are investigated. The switching of the traffic light states is modeled as a discrete decision and is subject to optimization. A numerical approach for the optimization of switching points as a function of time based upon the macroscopic traffic flow model is proposed. The numerical discussion relies on an equivalent reformulation of the original problem as well as a mixed-integer discretization of the flow dynamics. The large-scale optimization problem is solved using derived heuristics within the optimization process. Numerical experiments are presented for a single intersection as well as for a road network. |
Year | DOI | Venue |
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2015 | 10.1016/j.cor.2014.10.001 | Computers & Operations Research |
Keywords | Field | DocType |
Traffic networks,Discretized conservation laws,Optimization,Mixed-integer programming | Traffic signal,Traffic flow,Road networks,Real-time computing,Integer programming,Mathematics,Network model | Journal |
Volume | Issue | ISSN |
55 | C | 0305-0548 |
Citations | PageRank | References |
5 | 0.53 | 22 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Simone Göttlich | 1 | 62 | 13.52 |
Michael Herty | 2 | 239 | 47.31 |
Ute Ziegler | 3 | 10 | 1.35 |