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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 28, 1993 - Issue 1
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Original Articles

A partial linearization method for the traffic assignment problem

T. Larsson Department of Mathematics, Linköping Institute of Technology, Linköping, S-581 83, Sweden
,
A. Migdalas Department of Mathematics, Linköping Institute of Technology, Linköping, S-581 83, Sweden
&
M. Partriksson Department of Mathematics, Linköping Institute of Technology, Linköping, S-581 83, Sweden
Pages 47-61 | Published online: 20 Mar 2007

Citations (13)

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Zewen Wang, Kai Zhang, Xinyuan Chen, Meng Wang, Renwei Liu & Zhiyuan Liu. (2022) An improved parallel block coordinate descent method for the distributed computing of traffic assignment problem. Transportmetrica A: Transport Science 18:3, pages 1376-1400.
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Xinyuan Chen, Zhiyuan Liu & Inhi Kim. (2020) A parallel computing framework for solving user equilibrium problem on computer clusters. Transportmetrica A: Transport Science 16:3, pages 550-573.
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Articles from other publishers (11)

Zhiyuan Liu, Xinyuan Chen, Jintao Hu, Shuaian Wang, Kai Zhang & Honggang Zhang. (2023) An alternating direction method of multipliers for solving user equilibrium problem. European Journal of Operational Research 310:3, pages 1072-1084.
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Kai Zhang, Honggang Zhang, Qixiu Cheng, Xinyuan Chen, Zewen Wang & Zhiyuan Liu. (2023) A customized two-stage parallel computing algorithm for solving the combined modal split and traffic assignment problem. Computers & Operations Research 154, pages 106193.
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Xinyuan Chen, Zhiyuan Liu, Kai Zhang & Zewen Wang. (2020) A parallel computing approach to solve traffic assignment using path-based gradient projection algorithm. Transportation Research Part C: Emerging Technologies 120, pages 102809.
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Alexander Krylatov, Victor Zakharov & Tero TuovinenAlexander Krylatov, Victor Zakharov & Tero Tuovinen. 2020. Optimization Models and Methods for Equilibrium Traffic Assignment. Optimization Models and Methods for Equilibrium Traffic Assignment 101 118 .
Shlomo Bekhor, Tomer Toledo & Lena Reznikova. (2009) A Path-Based Algorithm for the Cross-Nested Logit Stochastic User Equilibrium Traffic Assignment. Computer-Aided Civil and Infrastructure Engineering 24:1, pages 15-25.
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Athanasios Migdalas. 2006. Handbook of Optimization in Telecommunications. Handbook of Optimization in Telecommunications 27 66 .
Athanasia Karakitsiou, Athanasia Mavrommati & Athanasios Migdalas. (2004) Efficient minimization over products of simplices and its application to nonlinear multicommodity network problems. Operational Research 4:2, pages 99-118.
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Michael Patriksson. 1997. Parallel Computing in Optimization. Parallel Computing in Optimization 295 341 .
Olof Damberg, Athanasios Migdalas & Sverre Storøy. 1997. Parallel Computing in Optimization. Parallel Computing in Optimization 183 238 .
Athanasios Migdalas. (1995) Bilevel programming in traffic planning: Models, methods and challenge. Journal of Global Optimization 7:4, pages 381-405.
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Athanasios Migdalas. (1994) A regularization of the Frank—Wolfe method and unification of certain nonlinear programming methods. Mathematical Programming 65:1-3, pages 331-345.
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