Network equilibrium: Optimization formulations with both quantities and prices as variables

Malachy Carey

Transportation Research Part B: Methodological, 1987, vol. 21, issue 1, 69-77

Abstract: The optimization formulation of the traffic assignment problem is usually stated in terms of flow (quantity) variables but can also be stated entirely in terms of price variables (the dual formulation), and recently it has also been stated in terms of a combination of both quantity and price variables. Here we consider properties and problems associated with the latter optimization formulations and relate these formulations to the traffic equilibrium conditions and to the purely quantity formulation.

Date: 1987
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