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Applying Transformation Characteristics to Solve the Multi Objective Linear Fractional Programming Problems


Affiliations
1 Department of Business Administration, Chung Hua University, Hsinchu, Taiwan, Province of China
 

For some management programming problems, multiple objectives to be optimized rather than a single objective, and objectives can be expressed with ratio equations such as return/investment, operating profit/net-sales, profit/manufacturing cost, etc. In this paper, we proposed the transformation characteristics to solve the multi objective linear fractional programming (MOLFP) problems. If a MOLFP problem with both the numerators and the denominators of the objectives are linear functions and some technical linear restrictions are satisfied, then it is defined as a multi objective linear fractional programming problem MOLFPP in this research. The transformation characteristics are illustrated and the solution procedure and numerical example are presented.

Keywords

Transformation Characteristics, MOLFP, MOLFPP.
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  • Applying Transformation Characteristics to Solve the Multi Objective Linear Fractional Programming Problems

Abstract Views: 342  |  PDF Views: 161

Authors

Wen Pei
Department of Business Administration, Chung Hua University, Hsinchu, Taiwan, Province of China

Abstract


For some management programming problems, multiple objectives to be optimized rather than a single objective, and objectives can be expressed with ratio equations such as return/investment, operating profit/net-sales, profit/manufacturing cost, etc. In this paper, we proposed the transformation characteristics to solve the multi objective linear fractional programming (MOLFP) problems. If a MOLFP problem with both the numerators and the denominators of the objectives are linear functions and some technical linear restrictions are satisfied, then it is defined as a multi objective linear fractional programming problem MOLFPP in this research. The transformation characteristics are illustrated and the solution procedure and numerical example are presented.

Keywords


Transformation Characteristics, MOLFP, MOLFPP.

References