HAL Id: hal-01729109
https://hal.archives-ouvertes.fr/hal-01729109
Submitted on 12 Mar 2018
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
A survey of algorithms for convex multicommodity flow
problems
Adam Ouorou, Philippe Mahey, Jean-Philippe Vial
To cite this version:
Adam Ouorou, Philippe Mahey, Jean-Philippe Vial. A survey of algorithms for convex multicommod-ity flow problems. Management Science, INFORMS, 2000. �hal-01729109�
f -c j x 0 j 0j l c
10ï3 10ï2 10ï1 100 0 200 400 600 800 1000 1200 1400
Convergence accuracy parameter
Number of iterations 10ï4 10ï3 10ï2 10ï1 100 5 10 15 20 25 30 35 40 45
Convergence accuracy parameter
Number of iterations 10ï6 10ï5 10ï4 10ï3 10ï2 0 200 400 600 800 1000 1200 1400
Convergence accuracy parameter
Number of iterations 10ï6 10ï5 10ï4 10ï3 10ï2 7 8 9 10 11 12 13 14
Convergence accuracy parameter
Number of iterations 10ï3 10ï2 10ï1 100 0 0.2 0.4 0.6 0.8 1 1.2 1.4
Convergence accuracy parameter
CPU time (in sec.)
10ï4 10ï3 10ï2 10ï1 100 0.01 0.015 0.02 0.025 0.03 0.035 0.04
Convergence accuracy parameter
CPU time (in sec.)
10ï6 10ï5 10ï4 10ï3 10ï2 0 0.2 0.4 0.6 0.8 1 1.2 1.4
Convergence accuracy parameter
CPU time (in sec.)
10ï6 10ï5 10ï4 10ï3 10ï2 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Convergence accuracy parameter
1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 0 10 20 30 40 50 60 70 Scale Path dispersion FD PM ACCPM PDM
0 1 2 3 4 5 6 7 8 0 100 200 300 400 500 600 700 800 900 1000 Lambda Iterations
