Optimization over an integer efficient set of a Multiple Objective Linear Fractional Problem
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References listed on IDEAS
- M. Ehrgott & H. W. Hamacher & K. Klamroth & S. Nickel & A. Schöbel & M. M. Wiecek, 1997. "Equivalence of Balance Points and Pareto Solutions in Multiple-Objective Programming," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 209-212, January.
- Jorge, Jesús M., 2009. "An algorithm for optimizing a linear function over an integer efficient set," European Journal of Operational Research, Elsevier, vol. 195(1), pages 98-103, May.
- Le Thi, Hoai An & Pham, Dinh Tao & Thoai, Nguyen V., 2002. "Combination between global and local methods for solving an optimization problem over the efficient set," European Journal of Operational Research, Elsevier, vol. 142(2), pages 258-270, October.
- Chergui, M. E-A & Moulai, M., 2007. "An exact method for a discrete multiobjective linear fractional optimization," MPRA Paper 12097, University Library of Munich, Germany, revised 09 Jan 2008.
- Yamada, Syuuji & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "An inner approximation method incorporating a branch and bound procedure for optimization over the weakly efficient set," European Journal of Operational Research, Elsevier, vol. 133(2), pages 267-286, January.
- Jonathan S. H. Kornbluth & Ralph E. Steuer, 1981. "Multiple Objective Linear Fractional Programming," Management Science, INFORMS, vol. 27(9), pages 1024-1039, September.
- Costa, Joao Paulo, 2007. "Computing non-dominated solutions in MOLFP," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1464-1475, September.
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Cited by:
- Wassila Drici & Fatma Zohra Ouail & Mustapha Moulaï, 2018. "Optimizing a linear fractional function over the integer efficient set," Annals of Operations Research, Springer, vol. 267(1), pages 135-151, August.
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More about this item
Keywords
Integer programming; Optimization over the efficient set; Multiple objective linear fractional programming; Global optimization;All these keywords.
JEL classification:
- I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
NEP fields
This paper has been announced in the following NEP Reports:- NEP-CMP-2012-01-03 (Computational Economics)
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