Environment and Planning A Economy and Space · 1983 · 101 citations · 13 references
PlanningMathematicsUrban PlanningOptimizationTransport PlanningTransportationDestination ChoiceMode Choice ModelingRoute Choice ModelingTransportation EconomicsTransportation ModelsTransportation ProblemsGeneralized CostGeneralized Cost FunctionsLagrange MultipliersLagrangian FunctionLagrangian OptimizationLocation Choice ModelsNewton-raphson OptimizationRoute Choice
A unified approach to deriving models of urban location, destination, mode, and route choice is illustrated, and an algorithm based on Evans's approach and the Lagrange multiplier procedure is proposed. By examining derivatives of the Lagrangian function, we show that the Newton—Raphson technique can be implemented for finding the optimal Lagrange multipliers for these models. Procedures for identifying values of generalized cost-function coefficients are studied.
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Urban travel demand: A behavioral analysis
StevenR. Lerman · Transportation Research · 1976 · 573 citations · Full text