Transportation Science · 1984 · 1.3K citations · 78 references
Natural SciencesMathematicsTransportation PlanningOptimizationTransport PlanningTransportationCombinatorial OptimizationDiscrete Choice TheoryDiscrete OptimizationInteger ProgrammingTransportation ModelsTransportation ProblemsContinuous ModelsDiscrete Choice ModellingNetwork Design ProblemsTransportation Network ModelingTransportation Network PlanningTransportation System Optimization
Numerous transportation applications as diverse as capital investment decision-making, vehicle fleet planning, and traffic light signal setting all involve some form of (discrete choice) network design. In this paper, we review some of the uses and limitations of integer programming-based approaches to network design, and describe several discrete and continuous choice models and algorithms. Our objectives are threefold—to provide a unifying view for synthesizing many network design models, to propose a unifying framework for deriving many network design algorithms, and to summarize computational experience in solving design problems. We also show that many of the most celebrated combinatorial problems that arise in transportation planning are specializations and variations of a generic design model. Consequently, the network design concepts described in this paper have great potential application in a wide range of problem settings.
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Generalized Benders decomposition
Arthur M. Geoffrion · Journal of Optimization Theory and Applications · 1972 · 2.5K citations
Dynamic Version of the Economic Lot Size Model
Harvey M. Wagner, T. M. Whitin · Management Science · 2004 · 2.1K citations
Management, Industrial Engineering, Operations Management +17