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Original Articles

The decomposition principle for linear programs

Pages 20-35 | Published online: 16 Jul 2007

References

  • Dantzig , G.B. and Wolfe , P. November 1958 . A Decomposition Principle for Linear Programs , November , P-1544, The Rand Corporation . Also Operations Research, 8, No. 1, 1960, pp. 101-111
  • Dantzig , G.B. and Wolfe , P. 1961 . The Decomposition Algorithm for Linear Programs . Econometrica , 29 ( 4 ) October : 767 – 778 .
  • Dantzig , G.B. October 1953 . Computational Algorithm of the Revised Simplex Method , October , RM-1266, The Rand Corporation .
  • Cobb R. H. Some Computational Considerations of the Decomposition Algorithm Mathematica unpublished
  • Williams , A.C. 1962 . A Treatment of Transportation Problems by Decomposition . Journal of SIAM , 10 ( 1 ) March : 35 – 48 .
  • Gauthier , J.M. and Genuys , F. September 1960 . “ Expésriences sur le Principe de Décomposition des Programmes Linéaires ” . In 1st congress of AFCAL , September , 373 – 381 . Grenoble, , France : Gauthier-Villars . 1961
  • Abadie , J.M. and Williams , A.C. 1962 . Dual and Parametric Methods in Decomposition . Paper presented at the Symposium for Mathematical Programming held at the University of Chicago . June 1962 .

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