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arXiv 2501.14775cs.NEcs.AI
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用于单维和多维0-1背包问题的混合萤火虫-遗传算法

Hybrid Firefly-Genetic Algorithm for Single and Multi-dimensional 0-1 Knapsack Problems

Institute of Artificial Intelligence, Dr Vishwanath Karad MIT World Peace University(Dr Vishwanath Karad MIT世界和平大学人工智能研究所)

Aswathi Malanthara, Ishaan R Kale

AI总结:

针对FA和GA算法在约束优化中探索与处理能力下降的问题,提出混合FAGA算法,结合两者优势,在0-1背包等问题上实现了更高的求解精度与计算效率。

摘要:

本文探讨了Firefly Algorithm (FA)和Genetic Algorithm (GA)等算法在约束优化问题中面临的挑战。尽管两种算法在无约束问题上表现良好,但由于在探索、开发和约束处理方面的局限性,引入约束后其有效性会降低。为克服这些挑战,提出了一种结合两种算法优势的混合FAGA算法。该混合算法通过求解无约束基准函数和约束优化问题得到验证,包括工程设计问题以及0-1背包问题等组合问题。与传统优化算法相比,所提算法提供更高的求解精度和计算效率。本文概述了该混合算法的开发与结构,并证明了其在处理复杂优化问题上的有效性。

英文摘要:

This paper addresses the challenges faced by algorithms, such as the Firefly Algorithm (FA) and the Genetic Algorithm (GA), in constrained optimization problems. While both algorithms perform well for unconstrained problems, their effectiveness diminishes when constraints are introduced due to limitations in exploration, exploitation, and constraint handling. To overcome these challenges, a hybrid FAGA algorithm is proposed, combining the strengths of both algorithms. The hybrid algorithm is validated by solving unconstrained benchmark functions and constrained optimization problems, including design engineering problems and combinatorial problems such as the 0-1 Knapsack Problem. The proposed algorithm delivers improved solution accuracy and computational efficiency compared to conventional optimization algorithm. This paper outlines the development and structure of the hybrid algorithm and demonstrates its effectiveness in handling complex optimization problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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