TAYLOR SERIES SOLUTION OF MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM
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Research Article
VOLUME: 6 ISSUE: 2
P: 91 - 98
December 2005

TAYLOR SERIES SOLUTION OF MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM

Trakya Univ J Nat Sci 2005;6(2):91-98
1. Yıldız Teknik Üniversitesi Fen Edebiyat Fakültesi, Matematik Bölümü, 34210 Davutpaşa-Esenler / İstanbul
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Received Date: 12.02.2005
Accepted Date: 11.05.2005
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Abstract

In this paper, we have proposed a solution to Multi Objective Linear Fractional Programming Problem (MOLFPP) by expanding the order 1st Taylor polynomial series these objective functions at optimal points of each linear fractional objective functions in feasible region. MOLFPP reduces to an equivalent Multi Objective Linear Programming Problem (MOLPP). The resulting MOLPP is solved assuming that weights of these linear objective functions are equal and considering the sum of the these linear objective functions. The proposed solution to MOLFPP always yields efficient solution, even a strong-efficient solution. Therefore, the complexity in solving MOLFPP has reduced easy computational. To show the ability the proposed solution, three different numerical examples have been presented. The given examples are solved using optimization software WINQSB.(Chang, 2001)

Keywords:
Multi Objective Linear Fractional Programming Problem (MOLFPP), Multi Objective Linear Programming Problem (MOLPP), Taylor series, WinQSB