Transportation Science · 1975 · 475 citations · 7 references
Natural SciencesMathematicsUrban PlanningDiscrete MathematicsOptimizationTransportation EngineeringBranch And BoundCombinatorial OptimizationCongestion ManagementDiscrete OptimizationInteger ProgrammingNetwork OptimizationCongestion AvoidanceMixed-integer Nonlinear ProgrammingNetwork Design ProblemsRoad Network ModelingRoad Network OptimizationTraffic Flow OptimizationTransportation Network Planning
This paper addresses the problem of determining which links should be improved in an urban road network so that total congestion in the city is minimized. A nonlinear mixed integer programming model is developed, and strategies for a branch-and-bound algorithm are presented. Particular attention is paid to the computational aspects of large-scale problems, and numerical results are reported.
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Nonlinear Programming: A Unified Approach
David W. Peterson, Willard I. Zangwill · Econometrica · 1972 · 1K citations
Braess's paradox of traffic flow
J. D. Murchland · Transportation Research · 1970 · 212 citations