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2017•Unpublished venueRequires access

DUALITY FOR MULTIOBJECTIVE FRACTIONAL PROGAMMING PROBLEMS

Yan Batara Putra, Sawaluddin Nasution

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Abstract

Fractional program is an optimization of objective function in the form of rational function. If only one ratio is optimized then the problem is called single ratio programming, whereas if more than one optimized ratio is called max-min fractional programming (FP). Multiobjective fractional program is a fractional program that has multiple objectives. In this thesis Looking for duality in multiobjective programming is done by using weir type duality, then it is obtained that (u0, 0, y0) and (x0,0, y0)is an efficient solution for FD1 (duality) evidenced by the theory of weak duality and strong duality.

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What this paper is about

Fractional program is an optimization of objective function in the form of rational function. If only one ratio is optimized then the problem is called single ratio programming, whereas if more than one optimized ratio is called max-min fractional programming (FP). Multiobjective fractional program is a fractional program that has multiple objectives. In this thesis Looking for duality in multiobjective programming is done by using weir type duality, then it is obtained that (u0, 0, y0) and (x0,0, y0)is an efficient solution for FD1 (duality) evidenced by the theory of weak duality and strong duality.

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Available abstract

Fractional program is an optimization of objective function in the form of rational function. If only one ratio is optimized then the problem is called single ratio programming, whereas if more than one optimized ratio is called max-min fractional programming (FP). Multiobjective fractional program is a fractional program that has multiple objectives. In this thesis Looking for duality in multiobjective programming is done by using weir type duality, then it is obtained that (u0, 0, y0) and (x0,0, y0)is an efficient solution for FD1 (duality) evidenced by the theory of weak duality and strong duality.

Key concepts: Duality (order theory), Fractional programming, Mathematics, Strong duality, Weak duality, Perturbation function, Wolfe duality, Mathematical optimization

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