Bicriterion traffic assignment: Efficient algorithms plus examples

Robert B. Dial

Transportation Research Part B: Methodological, 1997, vol. 31, issue 5, 357-379

Abstract: This paper describes the mathematical properties and solution algorithm of a stochastic bicriterion equilibrium traffic assignment model in which both criteria may be flow-dependent. Formulated as a variational inequality, the model can reflect that different trip makers--due to habit, taste, or information--react differently to various factors such as travel time, out-of-pocket cost, and traffic congestion. Combining a novel tree builder/trip loader that obviates path enumeration together with Newton's method and linear programming, its reduced simplicial decomposition solution algorithm is fast enough to make the model a practical planning tool.

Date: 1997
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