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Parametric Programming and the Primal-Dual Algorithm

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  • J. E. Kelley

    (Remington Rand Univac, Philadelphia, Pennsylvania)

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.

Suggested Citation

  • J. E. Kelley, 1959. "Parametric Programming and the Primal-Dual Algorithm," Operations Research, INFORMS, vol. 7(3), pages 327-334, June.
    • Handle: RePEc:inm:oropre:v:7:y:1959:i:3:p:327-334
    DOI: 10.1287/opre.7.3.327
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    Cited by:

    1. Gefen, David & Straub, Detmar W., 2004. "Consumer trust in B2C e-Commerce and the importance of social presence: experiments in e-Products and e-Services," Omega, Elsevier, vol. 32(6), pages 407-424, December.
    2. Tsiros, Michael, 1998. "Effect of Regret on Post-choice Valuation: The Case of More Than Two Alternatives," Organizational Behavior and Human Decision Processes, Elsevier, vol. 76(1), pages 48-69, October.
    3. Kim, Peter H., 1997. "Strategic Timing in Group Negotiations: The Implications of Forced Entry and Forced Exit for Negotiators with Unequal Power," Organizational Behavior and Human Decision Processes, Elsevier, vol. 71(3), pages 263-286, September.
    4. Hinds, Pamela J. & Carley, Kathleen M. & Krackhardt, David & Wholey, Doug, 2000. "Choosing Work Group Members: Balancing Similarity, Competence, and Familiarity," Organizational Behavior and Human Decision Processes, Elsevier, vol. 81(2), pages 226-251, March.
    5. J. Sengupta & C. Millham & G. Tintner, 1965. "On the stability of solutions under error in stochastic linear programming," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 9(1), pages 47-60, December.
    6. Mitropoulos, Atanasios, 2001. "Learning under minimal information: An experiment on mutual fate control," Journal of Economic Psychology, Elsevier, vol. 22(4), pages 523-557, August.

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