A Linear Fractional Program with Homogeneous Constraints by

OPSEARCH ◽  
1999 ◽  
Vol 36 (4) ◽  
pp. 390-398 ◽  
Author(s):  
S. S. Chadha
Keyword(s):  
Fractional Program ◽  
Linear Fractional Program

A comment on Chadha (1999): a linear fractional program with homogeneous constraints

OPSEARCH ◽  
2012 ◽  
Vol 50 (1) ◽  
pp. 141-148
Author(s):  
Sanjay Jain ◽  
Kailash Lachhwani
Keyword(s):  
Fractional Program ◽  
Linear Fractional Program

scholarly journals Adaptive projection methods for linear fractional programming

2020 ◽  
Author(s):  
Ahlem BENNANI ◽  
Djamel BENTERKI ◽  
Hassina GRAR
Keyword(s):  
Variational Inequalities ◽  
Projection Method ◽  
Interior Point ◽  
Fractional Programming ◽  
Interior Point Methods ◽  
Projection Methods ◽  
Linear Fractional Programming ◽  
Fractional Program ◽  
Numerical Tests ◽  
Linear Fractional Program

In this paper, we are interested in solving a linear fractional program by two different approaches. The first one is based on interior point methods which makes it possible to solve an equivalent linear program to the linear fractional program. The second one allows us to solve a variational inequalities problem equivalent to the linear fractional program by an efficient projection method. The numerical tests show clearly that interior point methods are more efficient than of projection one.

A parametric approach to fuzzy multi-objective linear fractional program: An alpha cut based method

2021 ◽  
pp. 1-14
Author(s):  
Mojtaba Borza ◽  
Azmin Sham Rambely
Keyword(s):  
Programming Problem ◽  
Efficient Solution ◽  
Fuzzy Numbers ◽  
Parametric Approach ◽  
Multi Objective ◽  
Weighted Sum Method ◽  
Multi Objective Programming ◽  
Linear Fractional Program ◽  
Interval Valued ◽  
Linear Fractional Programming Problem

In the multi-objective programming problem (MOPP), finding an efficient solution is challenging and partially encompasses some difficulties in practice. This paper presents an approach to address the multi-objective linear fractional programing problem with fuzzy coefficients (FMOLFPP). In the method, at first, the concept of α - cuts is used to change the fuzzy numbers into intervals. Therefore, the fuzzy problem is further changed into an interval-valued linear fractional programming problem (IVLFPP). Afterward, this problem is transformed into a linear programming problem (LPP) using a parametric approach and the weighted sum method. It is proven that the solution resulted from the LPP is at least a weakly ɛ - efficient solution. Two examples are given to illustrate the method.

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