On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints-Reference-Cited by-同舟云学术

On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints

Published:2008-12 Issue:10 Volume:42 Page:843-860
ISSN:0191-2615
Container-title:Transportation Research Part B: Methodological
language:en
Short-container-title:Transportation Research Part B: Methodological

Author:

Patriksson Michael

Publisher

Elsevier BV

Subject

Management Science and Operations Research,Transportation,Civil and Structural Engineering

Reference152 articles.

1. Equilibria on a congested transportation network;Aashtiani;SIAM Journal on Algebraic and Discrete Methods,1981

2. Continuous equilibrium network design models;Abdulaal;Transportation Research Part B,1979

3. Travel time functions for transport planning purposes: Davidson’s function, its time-dependent form and an alternative travel time function;Akçelik;Australian Road Research,1991

4. Set-Valued Analysis;Aubin,1990

5. Variational principles for variational inequalities;Auchmuty;Numerical Functional Analysis and Optimization,1989

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