The traffic network equilibrium problem with capacity constraints is investigated with the help of generalized Lagrangian theory of variational inequality in our paper. It is proved to be equivalent to the generalized Wardrop equilibrium solution. This result is very useful in transportation analysi
Integer flows in network with fuzzy capacity constraints
โ Scribed by Stefan Chanas; Waldemar Kolodziejczyk
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 597 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0028-3045
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๐ SIMILAR VOLUMES
In this paper, we propose a (weak) vector equilibrium principle with capacity constraints of arcs. By proving the existence of solutions for the weighted variational inequality, we establish the existence results of (weak) vector traffic equilibrium flows with capacity constraints of arcs.
Consider a network in which a commodity #ows at a variable rate across the arcs in order to meet supply/demand at the nodes. The aim is to optimally control the rate of #ow such that a convex objective functional is minimized. This is an optimal control problem with a large number of states, and wit