Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization Problem
Real-world engineering projects frequently involve complex, non-linear multi-objective optimization challenges. Traditional methods like PERT/CPM and basic heuristics often fail to provide optimal solutions in such scenarios. Multi-objective evolutionary algorithms, such as genetic algorithms and n...
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| Format: | Article |
| Language: | English |
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Austrian Statistical Society
2024-12-01
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| Series: | Austrian Journal of Statistics |
| Online Access: | https://www.ajs.or.at/index.php/ajs/article/view/1898 |
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| author | Muskan Kapoor Bhupendra Kumar Pathak Rajiv Kumar |
| author_facet | Muskan Kapoor Bhupendra Kumar Pathak Rajiv Kumar |
| author_sort | Muskan Kapoor |
| collection | DOAJ |
| description |
Real-world engineering projects frequently involve complex, non-linear multi-objective optimization challenges. Traditional methods like PERT/CPM and basic heuristics often fail to provide optimal solutions in such scenarios. Multi-objective evolutionary algorithms, such as genetic algorithms and non-dominated sorting genetic algorithms, are more effective for identifying true Pareto solutions. Among these, the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is a well-known algorithm for solving multi-objective optimization problems. This study presents an integrated approach, called LI-NSGA-II, which combines Lagrange's Interpolation (LI) with NSGA-II to solve non-linear multi-objective optimization problems in real-world projects. In this LI-NSGA-II approach, LI is used to handle the non-linearity of competing objectives, whereas NSGA-II optimizes these objectives to find optimal solutions. The outcomes achieved through the LI-NSGA-II approach are ideal for real-time monitoring and control of non-linear multi-objective optimization problems.
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| format | Article |
| id | doaj-art-24846847a3564fbf90f4e12b98f2b7dc |
| institution | Kabale University |
| issn | 1026-597X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Austrian Statistical Society |
| record_format | Article |
| series | Austrian Journal of Statistics |
| spelling | doaj-art-24846847a3564fbf90f4e12b98f2b7dc2025-01-13T07:12:25ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2024-12-0153510.17713/ajs.v53i5.1898Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization ProblemMuskan Kapoor0Bhupendra Kumar Pathak1Rajiv Kumar2Jaypee University of Information Technology, Waknaghat, Solan (H.P.)Assistant ProfessorJaypee University of Information Technology, Waknaghat, Solan (H.P.) Real-world engineering projects frequently involve complex, non-linear multi-objective optimization challenges. Traditional methods like PERT/CPM and basic heuristics often fail to provide optimal solutions in such scenarios. Multi-objective evolutionary algorithms, such as genetic algorithms and non-dominated sorting genetic algorithms, are more effective for identifying true Pareto solutions. Among these, the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is a well-known algorithm for solving multi-objective optimization problems. This study presents an integrated approach, called LI-NSGA-II, which combines Lagrange's Interpolation (LI) with NSGA-II to solve non-linear multi-objective optimization problems in real-world projects. In this LI-NSGA-II approach, LI is used to handle the non-linearity of competing objectives, whereas NSGA-II optimizes these objectives to find optimal solutions. The outcomes achieved through the LI-NSGA-II approach are ideal for real-time monitoring and control of non-linear multi-objective optimization problems. https://www.ajs.or.at/index.php/ajs/article/view/1898 |
| spellingShingle | Muskan Kapoor Bhupendra Kumar Pathak Rajiv Kumar Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization Problem Austrian Journal of Statistics |
| title | Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization Problem |
| title_full | Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization Problem |
| title_fullStr | Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization Problem |
| title_full_unstemmed | Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization Problem |
| title_short | Integrated LI-NSGA-II Approach for Solving the Non-linear Multi-objective Optimization Problem |
| title_sort | integrated li nsga ii approach for solving the non linear multi objective optimization problem |
| url | https://www.ajs.or.at/index.php/ajs/article/view/1898 |
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