Original scientific paper
https://doi.org/10.17535/crorr.2018.0015
A Novel Approach for Solving Quadratic Fractional Programming Problems
Mustafa Sivri
; Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
Inci Albayrak
; Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
Gizem Temelcan
; Department of Computer Programming, Istanbul Aydin University, Istanbul, Turkey
Abstract
In this paper, quadratic fractional programming (QFP) problems involving a factorized or non-factorized objective function and subject to homogenous or non-homogenous constraints are considered. Our proposed approach depends on a computational method that converts the QFP problem into a linear programming (LP) problem by using a Taylor series to solve the problem algebraically. This approach, based on the solution of LP problems, can be applied to various types of nonlinear fractional programming problems containing nonlinear constraint(s), and minimizes the total execution time on iterative operations. To illustrate the solution process, two examples are presented and the proposed approach is compared with other two existing methods for solving QFP problems.
Keywords
linear programming problem; quadratic fractional programming problem; Taylor series
Hrčak ID:
212381
URI
Publication date:
13.12.2018.
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