Operations Research · 1964 · 276 citations · 3 references
Natural SciencesMathematicsTransportation PlanningHighway PlanningOptimizationTransportation PolicyControl TheoryOptimal ControlTraffic OperationsGreen Split OptimizationIntersectionIntersection ControlOversaturated Intersection Control
The problem of optimizing the control of two oversaturated traffic intersections is solved by using the semi-graphical methods employed in a previous paper for an isolated intersection. As in the case of a single intersection the optimum control involves values of the control variables that lie along edges of the control region, which in this case is defined by the permissible ranges of the green phase splits. An analytical formulation of the method using Pontryagin’s control theory is also given.
3
The Mathematical Theory of Optimal Processes
Richard Bellman, L. S. Pontryagin, V. G. Boltyanskiĭ et al. · Econometrica · 1965 · 4.3K citations
F Webster · 1958 · 1.2K citations
THE OVERSATURATED INTERSECTION
Denos C. Gazis, R B Potts · 1963 · 196 citations