A parametric solution method for a generalized fractional programming problem

2021 ◽  
Author(s):  
YongJin Kim ◽  
YunChol Jong ◽  
JinWon Yu
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Solution Method ◽  
Parametric Solution ◽  
Generalized Fractional Programming ◽  
Fractional Programming Problem

scholarly journals Generalized fractional programming duablity: a ratio game approach

1986 ◽  
Vol 28 (2) ◽  
pp. 170-180 ◽  
Author(s):  
S. Chandra ◽  
B. D. Craven ◽  
B. Mond
Keyword(s):  
Objective Function ◽  
Programming Problem ◽  
Fractional Programming ◽  
Generalized Fractional Programming ◽  
Fractional Programming Problem ◽  
Fractional Programs ◽  
Duality Relations

AbstractA ratio game approach to the generalized fractional programming problem is presented and duality relations established. This approach suggests certain solution procedures for solving fractional programs involving several ratios in the objective function.

scholarly journals Ranking Function Application for Optimal Solution of Fractional programming problem

2020 ◽  
Vol 25 (1) ◽  
Author(s):  
Rasha Jalal
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Fractional Programming ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Ranking Function ◽  
Linear Fractional Programming ◽  
Fractional Programming Problem ◽  
Linear Programming Problems

The aim of this paper is to suggest a solution procedure to fractional programming problem based on new ranking function (RF) with triangular fuzzy number (TFN) based on alpha cuts sets of fuzzy numbers. In the present procedure the linear fractional programming (LFP) problems is converted into linear programming problems. We concentrate on linear programming problem problems in which the coefficients of objective function are fuzzy numbers, the right- hand side are fuzzy numbers too, then solving these linear programming problems by using a new ranking function. The obtained linear programming problem can be solved using win QSB program (simplex method) which yields an optimal solution of the linear fractional programming problem. Illustrated examples and comparisons with previous approaches are included to evince the feasibility of the proposed approach.

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