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October, 2024 | Volume 03 | Issue 04
Practical Approach Of Genetic Edge
Apurva Tiwari
Computer Science Department, National PG College, Lucknow, India
Author
Khushi Maurya
Computer Science Department, National PG College, Lucknow, India
Author
Mahesh Kumar Tiwari
Assistance Professor, Computer Science Department, National PG College, Lucknow, India
Author
๐ DOI: https://doi.org/10.63920/tjths.34001
๐ Keywords: Genetic Algorithm, Fractional Knapsack Problem, Risk Constraints, Optimization,
๐ Publication Date: 20 October, 2024
๐ License:
This work is licensed under a Creative Commons Attribution 4.0 International License
- Share โ Copy and Redistribute the material
- Adapt โ Remix, Transform, and build upon the material
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Abstract:
The greedy algorithm effectively solves the Fractional Knapsack Problem (FKP) in linear scenarios. However, the problem's complexity increases, and the greedy approach fails to yield optimal solutions when additional constraints, such as weight and risk, are introduced. Our previous theoretical study highlighted the limitations of the greedy method in such multi-constraint environments. This paper presents the real-world application of a Genetic algorithm for these challenges. The FKP is not like 0-1 Knapsack problem, it allows fractional item selection offering greater flexibility in practical applications. The proposed GA optimizes item selection based on value while ensuring that both capacity and risk constraints are met. Experimental results validate the GA's effectiveness, producing optimal solutions with maximum value and controlled risk thresholds.
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