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An Enhanced Grey Wolf Optimizer with Elite Inheritance and Balance Search Mechanisms for Improved Optimization Performance


Kernekoncepter
The proposed EBGWO algorithm incorporates an elite inheritance mechanism and a balance search mechanism to improve the convergence effect and balance exploration and exploitation capabilities of the original Grey Wolf Optimizer (GWO) algorithm.
Resumé

The paper presents a novel variant of the Grey Wolf Optimizer (GWO), termed Enhanced Balance Grey Wolf Optimizer (EBGWO), which addresses two key limitations of the original GWO algorithm:

  1. Lack of an elite inheritance mechanism: The original GWO algorithm fails to inherit elite positions from the previous iteration, potentially leading to suboptimal solutions. The proposed EBGWO introduces an elite inheritance mechanism that selectively employs elite individuals from the previous positions to guide the updating of positions in the next iteration.

  2. Insufficient exploration capability: The position updating mechanism in GWO relies on the center positions of three candidate wolves, which is a locally greedy optimization strategy that favors exploitation over exploration. This can lead to inaccurate calculation of the optimal solution and trapping the algorithm in local optima. EBGWO introduces a balance search mechanism that dynamically adjusts between global and local search to enhance exploration capability.

The performance of EBGWO is evaluated using benchmark functions and real-world engineering design optimization problems. The results demonstrate that EBGWO outperforms other meta-heuristic algorithms in terms of accuracy, convergence speed, and the ability to avoid local optima. The balance between exploration and exploitation is also improved compared to the original GWO and its variants.

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Statistik
The proposed EBGWO algorithm has a computational complexity of O(t × Dim × n^2 + t × Dim × n × c), which is similar to the original GWO algorithm.
Citater
"The elite inheritance mechanism builds an Elite Archive to enhance the convergence effect of the EBGWO algorithm." "The balance search mechanism capitalizes on the strengths of both the ST operator and the newly leading wolves to balance exploration and exploitation."

Dybere Forespørgsler

How can the elite inheritance and balance search mechanisms be further improved or combined with other optimization techniques to enhance the performance of EBGWO

To further enhance the elite inheritance and balance search mechanisms in the EBGWO algorithm, several strategies can be considered. One approach is to incorporate adaptive mechanisms that dynamically adjust the parameters of these mechanisms based on the optimization progress. This adaptability can help the algorithm fine-tune its exploration and exploitation balance based on the problem characteristics and the convergence behavior observed during the optimization process. Additionally, integrating advanced selection strategies, such as tournament selection or roulette wheel selection, can improve the selection of elite individuals for inheritance, enhancing the diversity and quality of solutions. Combining the EBGWO algorithm with other optimization techniques, such as hybridizing it with local search methods like simulated annealing or tabu search, can further boost its performance. By leveraging the strengths of different algorithms, the hybrid approach can capitalize on the global exploration capabilities of EBGWO while enhancing its local exploitation abilities. Moreover, incorporating adaptive mechanisms from other meta-heuristic algorithms, such as particle swarm optimization or ant colony optimization, can introduce novel ways to balance exploration and exploitation in EBGWO.

What are the potential limitations or drawbacks of the EBGWO algorithm, and how can they be addressed in future research

While the EBGWO algorithm offers significant improvements over the basic GWO algorithm, it may still have some limitations that could be addressed in future research. One potential drawback could be related to the parameter settings of the elite inheritance and balance search mechanisms. Fine-tuning these parameters to suit different problem domains and ensuring their robustness across various optimization landscapes could be a challenge. Future research could focus on developing automated parameter tuning mechanisms or adaptive strategies to optimize these parameters during the optimization process. Another limitation could be the scalability of the EBGWO algorithm to high-dimensional optimization problems. As the dimensionality of the problem increases, the algorithm's performance may degrade due to the curse of dimensionality. Exploring dimensionality reduction techniques or specialized operators for high-dimensional spaces could mitigate this limitation and improve the algorithm's applicability to complex real-world problems.

What other real-world optimization problems, beyond the engineering design problems explored in this study, could benefit from the EBGWO algorithm, and how might its performance compare to other state-of-the-art methods in those domains

The EBGWO algorithm's effectiveness in engineering design optimization problems suggests its potential applicability to a wide range of real-world optimization challenges. Beyond engineering, domains such as finance, logistics, healthcare, and telecommunications could benefit from the EBGWO algorithm's capabilities. For instance, in financial portfolio optimization, EBGWO could be utilized to optimize investment strategies and asset allocations. In healthcare, it could aid in optimizing treatment plans or resource allocation in hospitals. Comparing the performance of EBGWO with other state-of-the-art methods in these domains would be crucial to assess its competitiveness and applicability. Conducting empirical studies and benchmarking against existing algorithms in these diverse domains can provide valuable insights into the algorithm's strengths and areas for further improvement.
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