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Parametric Objective Function (Part 2)---Generalization

Author

Listed:
  • S. I. Gass

    (Computation Division, Department of the Air Force, Washington 25, D.C.)

  • Thomas L. Saaty

    (Operations Evaluation Group, Massachusetts Institute of Technology, Washington 25, D. C.)

Abstract

In Part 1 (Saaty, T. L., S. I. Gass. 1954. Parametric objective function (Part 1). J. Opns. Res. Soc. Am. 2 316.), the cost function in the general linear programming problem was parametrized with one parameter and the problem of generating solutions completely studied. In Part 2, a generalization to the n -parameter case is outlined, with special emphasis on the two-parameter case. An example is supplied for this case. Operations Research , ISSN 0030-364X, was published as Journal of the Operations Research Society of America from 1952 to 1955 under ISSN 0096-3984.

Suggested Citation

  • S. I. Gass & Thomas L. Saaty, 1955. "Parametric Objective Function (Part 2)---Generalization," Operations Research, INFORMS, vol. 3(4), pages 395-401, November.
    • Handle: RePEc:inm:oropre:v:3:y:1955:i:4:p:395-401
    DOI: 10.1287/opre.3.4.395
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    Cited by:

    1. María Jesús Gisbert & María Josefa Cánovas & Juan Parra & Fco. Javier Toledo, 2019. "Lipschitz Modulus of the Optimal Value in Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 133-152, July.
    2. Weihua Su & Dongcai Zhang & Chonghui Zhang & Dalia Streimikiene, 2020. "Sustainability assessment of energy sector development in China and European Union," Sustainable Development, John Wiley & Sons, Ltd., vol. 28(5), pages 1063-1076, September.
    3. Stephan Helfrich & Arne Herzel & Stefan Ruzika & Clemens Thielen, 2022. "An approximation algorithm for a general class of multi-parametric optimization problems," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1459-1494, October.
    4. Mauricio Diéguez & Jaime Bustos & Carlos Cares, 0. "Mapping the variations for implementing information security controls to their operational research solutions," Information Systems and e-Business Management, Springer, vol. 0, pages 1-30.
    5. Mauricio Diéguez & Jaime Bustos & Carlos Cares, 2020. "Mapping the variations for implementing information security controls to their operational research solutions," Information Systems and e-Business Management, Springer, vol. 18(2), pages 157-186, June.

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