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Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
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A competitive swarm optimizer for large scale optimization.

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    A new Competitive Swarm Optimizer (CSO) uses pairwise competition for large scale optimization. This novel approach balances exploration and exploitation, outperforming existing metaheuristics on high-dimensional problems.

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    Area of Science:

    • Computational Intelligence
    • Optimization Algorithms
    • Swarm Intelligence

    Background:

    • Particle Swarm Optimization (PSO) is a widely used metaheuristic.
    • Large scale optimization problems present significant computational challenges.
    • Existing metaheuristics may struggle with balancing exploration and exploitation in high dimensions.

    Purpose of the Study:

    • To propose a novel Competitive Swarm Optimizer (CSO) for large scale optimization.
    • To introduce a new particle update mechanism based on pairwise competition.
    • To analyze the convergence, exploration, and exploitation characteristics of CSO.

    Main Methods:

    • Developed a Competitive Swarm Optimizer (CSO) algorithm.
    • Implemented a pairwise competition mechanism for particle updates, where losers learn from winners.
    • Provided theoretical convergence proof and empirical analysis of search behavior.
    • Benchmarked CSO against five state-of-the-art metaheuristic algorithms on large scale problems.

    Main Results:

    • CSO demonstrates a good balance between exploration and exploitation.
    • Theoretical proof of convergence was established.
    • Empirical results show CSO outperforms five state-of-the-art algorithms.
    • CSO effectively solves problems with dimensionality up to 5000.

    Conclusions:

    • The proposed CSO is a simple yet effective algorithm for large scale optimization.
    • CSO offers a competitive alternative to existing metaheuristic approaches.
    • The pairwise competition mechanism is a promising strategy for swarm intelligence optimization.