Duality for Multiobjective Fractional Programming Problems Involving -Type-I -Set -Functions
I.M. Stancu-Minasian, Gheorghe Dogaru, Andreea Mădălina Stancu (2009)
The Yugoslav Journal of Operations Research
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I.M. Stancu-Minasian, Gheorghe Dogaru, Andreea Mădălina Stancu (2009)
The Yugoslav Journal of Operations Research
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Saxena, P.C. (1978)
Portugaliae mathematica
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Anass Nagih, Gérard Plateau (2010)
RAIRO - Operations Research
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Fractional programming consists in optimizing a ratio of two functions subject to some constraints. Different versions of this model, linear or nonlinear, have applications in various fields like combinatorial optimization, stochastic programming, data bases, and economy. Three resolution methods are presented: direct solution, parametric approach and solution of an equivalent problem.
K. Swarup (1972)
Matematički Vesnik
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Antoan Bătătorescu, Miruna Beldiman, Iulian Antonescu, Roxana Ciumara (2009)
The Yugoslav Journal of Operations Research
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Chergui, Mohamed El-Amine, Moulaï, Mustapha (2008)
Journal of Applied Mathematics and Decision Sciences
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Shyam S. Chadha (1988)
Trabajos de Investigación Operativa
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Duality of linear programming is used to establish an important duality theorem for a class of non-linear programming problems. Primal problem has quasimonotonic objective function and a convex polyhedron as its constraint set.
I. M. Stancu-Minasian, Stefan Tigan (2000)
RAIRO - Operations Research - Recherche Opérationnelle
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Radu Boţ, Robert Chares, Gert Wanka (2007)
Open Mathematics
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The present paper is a continuation of [2] where we deal with the duality for a multiobjective fractional optimization problem. The basic idea in [2] consists in attaching an intermediate multiobjective convex optimization problem to the primal fractional problem, using an approach due to Dinkelbach ([6]), for which we construct then a dual problem expressed in terms of the conjugates of the functions involved. The weak, strong and converse duality statements for the intermediate problems...
Zalmai, G.J. (2005)
International Journal of Mathematics and Mathematical Sciences
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