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Reseach Article

A Novel Solution Approach using Linearization Technique for Nonlinear Programming Problems

by Mustafa Sivri, Inci Albayrak, Gizem Temelcan
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 181 - Number 12
Year of Publication: 2018
Authors: Mustafa Sivri, Inci Albayrak, Gizem Temelcan
10.5120/ijca2018917703

Mustafa Sivri, Inci Albayrak, Gizem Temelcan . A Novel Solution Approach using Linearization Technique for Nonlinear Programming Problems. International Journal of Computer Applications. 181, 12 ( Aug 2018), 1-5. DOI=10.5120/ijca2018917703

@article{ 10.5120/ijca2018917703,
author = { Mustafa Sivri, Inci Albayrak, Gizem Temelcan },
title = { A Novel Solution Approach using Linearization Technique for Nonlinear Programming Problems },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2018 },
volume = { 181 },
number = { 12 },
month = { Aug },
year = { 2018 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume181/number12/29821-2018917703/ },
doi = { 10.5120/ijca2018917703 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:05:46.077202+05:30
%A Mustafa Sivri
%A Inci Albayrak
%A Gizem Temelcan
%T A Novel Solution Approach using Linearization Technique for Nonlinear Programming Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 181
%N 12
%P 1-5
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, a novel solution approach for solving the nonlinear programming (NLP) problems having m nonlinear algebraic inequality (equality or mixed) constraints with a nonlinear algebraic objective function in n variables using linearization technique is presented. This approach performs successive increments to find a solution of the NLP problem, based on the optimal solutions of linear programming (LP) problems, satisfying the nonlinear constraints oversensitively. In the proposed approach, the original problem is converted to the LP problem using increments in the linearization process and the impact of computational efficiency makes the performance of the solution well. It is presented that how the solution approach can be applied to solve the illustrated examples from the literature.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Linear Programming Incremental Technique Taylor Series Linearization Algorithm