FGP APPROACH TO BI-LEVEL MULTI-OBJECTIVE QUADRATIC FRACTIONAL PROGRAMMING WITH PARAMETRIC FUNCTIONS

2020 ◽  
Vol 9 (6) ◽  
pp. 3453-3459
Author(s):  
N. Rani ◽  
V. Goyal ◽  
D. Gupta
Keyword(s):  
Fractional Programming ◽  
Multi Objective ◽  
Quadratic Fractional Programming ◽  
Parametric Functions

scholarly journals Multiobjective Quadratic Fractional Programming using Iterative Parametric Function

2019 ◽  
Vol 8 (11) ◽  
pp. 2116-2121
Keyword(s):  
Objective Function ◽  
Fractional Programming ◽  
Programming Model ◽  
Efficient Solutions ◽  
Objective Functions ◽  
Parametric Function ◽  
Quadratic Constraints ◽  
Quadratic Fractional Programming ◽  
Parametric Functions ◽  
Constraint Method

The paper proposed the Model of multiobjective quadratic fractional optimisation problem with a set of quadratic constraints and a methodology for obtaining a set of solutions based on the approach of using iterative parametric functions. Firstly, each fractional objective function is transformed into non-fractional parametric objective function by assigning a vector of parameters to each objective function. In this approach, the Decision Maker(DM) predecides the desired tolerance levels of the objective functions in the form of termination constants. Then, by using ε-constraint method, a set of efficient solutions is obtained and termination conditions are checked for each parametric objective function. Also, a comparative study of the proposed method and fuzzy approach is given to reveal the validity of the method. A numerical for Multiobjective quadratic fractional programming Model (MOQFPM) is given in the end to check the applicability of the approach.

Iterative Parametric Approach for Quadratically Constrained Bi-Level Multiobjective Quadratic Fractional Programming

2020 ◽  
Vol 17 (11) ◽  
pp. 5046-5051
Author(s):  
Vandana Goyal ◽  
Namrata Rani ◽  
Deepak Gupta
Keyword(s):  
Fractional Programming ◽  
Optimization Problem ◽  
Programming Model ◽  
Pareto Optimal Solutions ◽  
Parametric Approach ◽  
Second Stage ◽  
Quadratic Fractional Programming ◽  
Upper Level ◽  
Quadratically Constrained ◽  
Constraint Method

The paper proposed an iterative parametric approach procedure for solving Bi-level Multiobjective Quadratic Fractional Programming model. The Model is divided into two levels-upper and lower. In the first stage of the approach, a set of pareto optimal solutions of upper Level is obtained by converting the problem into equivalent single non-fractional parametric objective optimization problem by using parametric vector and ε-constraint method. Then for the second stage, the solution of upper level is followed by the lower level decision maker while finding solution with the proposed algorithm to obtain the best preferred solution. A numerical example is solved in the last to validate the feasibility of the approach.

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