Parametric Programming and the Primal-Dual Algorithm

J. E. Kelley
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J. E. Kelley: Remington Rand Univac, Philadelphia, Pennsylvania

Operations Research, 1959, vol. 7, issue 3, 327-334

Abstract: This paper studies the close relation between the Gass-Saaty parametric programming algorithm and the “primal-dual” procedures recently exploited by Dantzig, Fokd, and Fulkerson. It is shown that the two procedures are equivalent. The possibility of eliminating the two-phase character of the simplex method using these techniques is discussed. Finally, the application of the techniques to problems with special structure is considered.

Date: 1959
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