A linearization and decomposition algorithm for computing urban traffic equilibria

[1]  T. Koopmans,et al.  Studies in the Economics of Transportation. , 1956 .

[2]  C. E. Lemke,et al.  Bimatrix Equilibrium Points and Mathematical Programming , 1965 .

[3]  G. Dantzig,et al.  COMPLEMENTARY PIVOT THEORY OF MATHEMATICAL PROGRAMMING , 1968 .

[4]  Stella Dafermos,et al.  An Extended Traffic Assignment Model with Applications to Two-Way Traffic , 1971 .

[5]  Le Blanc MATHEMATICAL PROGRAMMING ALGORITHMS FOR LARGE SCALE NETWORK EQUILIBRIUM AND NETWORK DESIGN PROBLEMS , 1973 .

[6]  Peter A. Steenbrink,et al.  Optimization of Transport Networks , 1974 .

[7]  Michael Florian,et al.  A Method for Computing Network Equilibrium with Elastic Demands , 1974 .

[8]  S. Nguyen An Algorithm for the Traffic Assignment Problem , 1974 .

[9]  Mario Gerla,et al.  Optimal Routing in a Packet-Switched Computer Network , 1974, IEEE Transactions on Computers.

[10]  Bruce L. Golden,et al.  A minimum-cost multicommodity network flow problem concerning imports and exports , 1975, Networks.

[11]  B. Golden Shortest-Path Algorithms: A Comparison , 1975 .

[12]  Hans-Jakob Lüthi A simplicial approximation of a solution for the nonlinear complementarity problem , 1975, Math. Program..

[13]  Michael Florian An improved linear approximation algorithm for the network equilibrium (packet switching) problem , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[14]  Eli Gafni,et al.  Validation of algorithms for optimal routing of flow in networks , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[15]  R. Asmuth Traffic network equilibria , 1978 .

[16]  B. Ahn Computation of market equilibria for policy analysis: the project independence evaluation system approach. , 1978 .

[17]  H. Z. Aashtiani The multi-modal traffic assignment problem. , 1979 .

[18]  Mike Smith,et al.  The existence, uniqueness and stability of traffic equilibria , 1979 .

[19]  N. Josephy Newton's Method for Generalized Equations. , 1979 .

[20]  Stella Dafermos,et al.  Traffic Equilibrium and Variational Inequalities , 1980 .

[21]  Andrés Weintraub,et al.  An algorithm for the traffic assignment problem , 1980, Networks.

[22]  T. Magnanti,et al.  Equilibria on a Congested Transportation Network , 1981 .

[23]  Caulton L. Irwin,et al.  Iteration and Sensitivity for a Spatial Equilibrium Problem with Linear Supply and Demand Functions , 1982, Oper. Res..

[24]  Jong-Shi Pang,et al.  Iterative methods for variational and complementarity problems , 1982, Math. Program..

[25]  S. Dafermos Relaxation Algorithms for the General Asymmetric Traffic Equilibrium Problem , 1982 .

[26]  William W. Hogan,et al.  On Convergence of the PIES Algorithm for Computing Equilibria , 1982, Oper. Res..

[27]  M. Florian,et al.  The convergence of diagonalization algorithms for asymmetric network equilibrium problems , 1982 .

[28]  D. Bertsekas,et al.  Projection methods for variational inequalities with application to the traffic assignment problem , 1982 .

[29]  Stella Dafermos,et al.  An iterative scheme for variational inequalities , 1983, Math. Program..