scholarly journals Sensitivity analysis in piecewise linear fractional programming problem with non-degenerate optimal solution

2009 ◽  
Vol 29 (3) ◽  
pp. 253
Author(s):  
Behrouz Kheirfam
Keyword(s):  
Sensitivity Analysis ◽  
Programming Problem ◽  
Fractional Programming ◽  
Piecewise Linear ◽  
Optimal Solution ◽  
Linear Fractional Programming ◽  
Fractional Programming Problem ◽  
Linear Fractional Programming Problem

scholarly journals Fuzzy solution of fully fuzzy multi-objective linear fractional programming problems

2021 ◽  
pp. 817-825
Author(s):  
Ganesan Kandasamy ◽  
T. Loganathan
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Optimal Solution ◽  
Linear Fractional Programming ◽  
Multi Objective ◽  
Fractional Programming Problem ◽  
Fuzzy Optimal Solution ◽  
Optimal Value ◽  
Novel Method ◽  
Linear Fractional Programming Problem

In this study, we present a novel method for solving fully fuzzy multi-objective linear fractional programming problems without transforming to equivalent crisp problems. First, we calculate the fuzzy optimal value for each fractional objective function and then we convert the fully fuzzy multi-objective linear fractional programming problem to a single objective fuzzy linear fractional programming problem and find its fuzzy optimal solution which inturn yields a fuzzy Pareto optimal solution for the given fully fuzzy multi-objective linear fractional programming problem. To demonstrate the proposed strategy, a numerical example is provided.

scholarly journals A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Nuran Güzel
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Software Package ◽  
Efficient Solution ◽  
Optimal Solution ◽  
Linear Fractional Programming ◽  
Fractional Programming Problem ◽  
Nonlinear Fractional Programming ◽  
Single Objective ◽  
Linear Fractional Programming Problem

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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