Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2014 / Cilt: 4 - Sayı: 2

Approximate solution algorithm for multi-parametric non-convex programming problems with polyhedral constraints

Pages
89–98
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The proposed algorithm is implemented using MATLAB software package and numericalexamples are presented to illustrate the effectiveness and applicability of the proposed method onmulti-parametric non-convex programming problems with polyhedral constraints

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we developed a novel algorithmic approach for the solution of multi-parametricnon-convex programming problems with continuous decision variables.
📊
Key Findings & Data:The basic idea of the proposedapproach is based on successive convex relaxation of each non-convex terms and sensitivity analysis theory.
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Conclusion & Impact:The proposed algorithm is implemented using MATLAB software package and numericalexamples are presented to illustrate the effectiveness and applicability of the proposed method onmulti-parametric non-convex programming problems with polyhedral constraints
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we developed a novel algorithmic approach for the solution of multi-parametricnon-convex programming problems with continuous decision variables. The basic idea of the proposedapproach is based on successive convex relaxation of each non-convex terms and sensitivity analysis theory. The proposed algorithm is implemented using MATLAB software package and numericalexamples are presented to illustrate the effectiveness and applicability of the proposed method onmulti-parametric non-convex programming problems with polyhedral constraints

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Cite This Article

KASSA, A. M., KASSA, S. M. (2022). Approximate solution algorithm for multi-parametric non-convex programming problems with polyhedral constraints. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 4 - Sayı: 2, 89–98. https://ajindex.com/articles/440720

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