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Journal of the Operational Research Society Volume 29, 1978 - Issue 10
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Technical Note

On Computing an Initial Efficient Extreme Point

J. G. EckerMathematical Sciences, Rensselaer Polytechnic InstituteTroyNY
&
Nancy S. HegnerSchool of Business, State University of New York at AlbanyAlbanyNY
Pages 1005-1007 | Published online: 19 Dec 2017

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Nguyen Thi Bach Kim & Dinh The Luc. (2002) Normal cone method in solving linear multiobjective problems. Journal of Statistics and Management Systems 5:1-3, pages 341-358.
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Reinhard Nehse. (1982) Bibliographic zur Vektoroptimierung -Theorie und Anwendungen (l. Fortsetzung). Mathematische Operationsforschung und Statistik. Series Optimization 13:4, pages 593-625.
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J. Glackin, J. G. Ecker & M. Kupferschmid. (2008) Solving Bilevel Linear Programs Using Multiple Objective Linear Programming. Journal of Optimization Theory and Applications 140:2, pages 197-212.
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Matthias Ehrgott. (2006) A discussion of scalarization techniques for multiple objective integer programming. Annals of Operations Research 147:1, pages 343-360.
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. 2006. Mathematical Programming. Mathematical Programming 534 565 .
G.R. Jahanshahloo & A.A. Foroughi. (2005) Efficiency analysis, generating an efficient extreme point for an MOLP, and some comparisons. Applied Mathematics and Computation 162:2, pages 991-1005.
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G.R. Jahanshahloo & A.A. Foroughi. (2004) Finding a weights-restricted efficient (extreme) point and using it for solving MOLP problems. Applied Mathematics and Computation 150:1, pages 203-211.
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Ta Van Tu. (2000) Optimization over the efficient set of a parametric multiple objective linear programming problem. European Journal of Operational Research 122:3, pages 570-583.
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Jerald Dauer & Yi-Hsin Liu. 1997. Advances in Sensitivity Analysis and Parametric Programming. Advances in Sensitivity Analysis and Parametric Programming 380 410 .
J. G. Ecker & J. H. Song. (1994) Optimizing a linear function over an efficient set. Journal of Optimization Theory and Applications 83:3, pages 541-563.
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Paul Armand. (1993) Finding all maximal efficient faces in multiobjective linear programming. Mathematical Programming 61:1-3, pages 357-375.
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. 1993. Structural Optimization: Status And Promise. Structural Optimization: Status And Promise 209 249 .
Harold P. Benson. (1993) A bisection-extreme point search algorithm for optimizing over the efficient set in the linear dependence case. Journal of Global Optimization 3:1, pages 95-111.
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Harold P. Benson. (1991) Complete efficiency and the initialization of algorithms for multiple objective programming. Operations Research Letters 10:8, pages 481-487.
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J. P. Dauer. (1991) Optimization over the efficient set using an active constraint approach. ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research 35:3, pages 185-195.
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Gilles R. D’Avignon & Heinz-Michael Winkels. 1986. The Management of Uncertainty: Approaches, Methods and Applications. The Management of Uncertainty: Approaches, Methods and Applications 75 135 .
Katta G. Murty. 1985. Mathematical Programming Essays in Honor of George B. Dantzig Part I. Mathematical Programming Essays in Honor of George B. Dantzig Part I 30 42 .
Rainer Rhode & Reinhard Weber. (1984) The range of the efficient frontier in multiple objective linear programming. Mathematical Programming 28:1, pages 84-95.
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Heinz-Michael Winkels. 1980. Quantitative Wirtschafts- und Unternehmensforschung. Quantitative Wirtschafts- und Unternehmensforschung 560 585 .

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