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Derivation of a spatially continuous transportation model
Abstract A geographically continuous movement model can be deduced from the quadratic transhipment problem by considering the transportation network as a discrete mesh. The resulting system of coupled Helmholz equations can be considered to solve simultaneously the spatially continuous versions of the traffic “distribution” and “assignment” problems. The associated Lagrangian functions are similar to the potentials of classical flow theory. Numerical methods implement the procedure.
Derivation of a spatially continuous transportation model
Abstract A geographically continuous movement model can be deduced from the quadratic transhipment problem by considering the transportation network as a discrete mesh. The resulting system of coupled Helmholz equations can be considered to solve simultaneously the spatially continuous versions of the traffic “distribution” and “assignment” problems. The associated Lagrangian functions are similar to the potentials of classical flow theory. Numerical methods implement the procedure.
Derivation of a spatially continuous transportation model
Tobler, W. (author)
Transportation Research Part A: General ; 19 ; 169-172
1985-01-01
4 pages
Article (Journal)
Electronic Resource
English
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