A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem | Zendy

Nuran Güzel | Zendy

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A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem

Author(s) -

Nuran Güzel

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/435030

Subject(s) - linear fractional programming , mathematics , fractional programming , mathematical optimization , linear programming , nonlinear programming , computation , order (exchange) , work (physics) , optimization problem , nonlinear system , algorithm , mechanical engineering , physics , finance , quantum mechanics , engineering , economics

We have proposed a new solution to the Multiobjective Linear Fractional Programming Problem (MOLFPP). The proposed solution is based on a theorem that deals with nonlinear fractional programming with single objective function and studied in the work by Dinkelbach, 1967. As a new contribution, we have proposed that is an efficient solution of MOLFPP if is an optimal solution of problem , where is for all . Hence, MOLFPP is simply reduced to linear programming problem (LPP). Some numerical examples are provided in order to illustrate the applications of the proposed method. The optimization software package, namely, WinQSB (Chang, 2001), has been employed in the computations

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