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A Social Spider Algorithm for Global Optimization (1502.02407v1)

Published 9 Feb 2015 in cs.NE

Abstract: The growing complexity of real-world problems has motivated computer scientists to search for efficient problem-solving methods. Metaheuristics based on evolutionary computation and swarm intelligence are outstanding examples of nature-inspired solution techniques. Inspired by the social spiders, we propose a novel Social Spider Algorithm to solve global optimization problems. This algorithm is mainly based on the foraging strategy of social spiders, utilizing the vibrations on the spider web to determine the positions of preys. Different from the previously proposed swarm intelligence algorithms, we introduce a new social animal foraging strategy model to solve optimization problems. In addition, we perform preliminary parameter sensitivity analysis for our proposed algorithm, developing guidelines for choosing the parameter values. The Social Spider Algorithm is evaluated by a series of widely-used benchmark functions, and our proposed algorithm has superior performance compared with other state-of-the-art metaheuristics.

Citations (362)

Summary

  • The paper introduces the Social Spider Algorithm, a metaheuristic inspired by social spiders’ vibrational signals, to effectively explore high-dimensional search spaces.
  • It employs decentralized, vibration-based communication among agents, balancing exploration and exploitation throughout the optimization process.
  • Evaluation on 25 benchmark functions shows SSA’s competitive performance on multimodal and hybrid problems, hinting at broad real-world applicability.

An Overview of the Social Spider Algorithm for Global Optimization

The paper entitled "A Social Spider Algorithm for Global Optimization" by James J.Q. Yu and Victor O.K. Li introduces a novel metaheuristic algorithm known as the Social Spider Algorithm (SSA). This algorithm draws inspiration from the foraging behavior of social spiders, specifically their use of vibrational signals on a web to locate prey. SSA aims to address the complexities inherent in solving real-world numerical optimization problems by introducing a unique model rooted in swarm intelligence, distinct from traditional evolutionary algorithms such as Genetic Algorithms (GA) and Differential Evolution (DE).

Methodological Foundations

SSA is a population-based algorithm that simulates a hyper-dimensional spider web where each spider represents a potential solution within the search space. The algorithm leverages a vibrational communication mechanism among spiders, with each vibration characterized by its intensity and source position. According to the paper, vibration intensity is directly correlated with the fitness of the solution and is defined using a logarithmic function. This intensity decays over distance, capturing a natural attenuation that encourages efficient exploration and exploitation of the solution space.

Spiders in SSA follow a decentralized information-sharing (IS) model where they adjust their search paths based on local interactions rather than a global leader. This model facilitates a balance between exploration and exploitation, allowing the algorithm to effectively navigate complex, high-dimensional spaces. The use of vibrations creates a dynamic mapping of the search space, permitting the algorithm to adaptively refocus its search efforts on promising regions while maintaining diversity within the population.

Evaluation and Performance Analysis

The authors conducted an extensive evaluation using 25 benchmark functions, categorized into unimodal, multimodal, and hybrid multimodal functions to challenge the SSA's ability to find global optima across varying complexity levels. The results reveal that SSA predominantly excels in handling multimodal and hybrid functions compared to several state-of-the-art algorithms such as CMA-ES, JADE, SaDE, and GL-25. It consistently achieves superior or competitive results, particularly in functions with multiple local optima, credited to its robust exploration capabilities.

SSA's convergence behavior is another focal point of analysis. The authors note its tendency to maintain exploration in the early stages of searching, reducing premature convergence risks often observed in many metaheuristics. This convergence property is attributed to the SSA's unique vibrational communication, which can differentiate and prioritize new promising solutions dynamically.

Implications and Future Work

The proposed SSA demonstrates significant potential in solving complex optimization problems by effectively balancing exploration and exploitation. The algorithm's inherent flexibility suggests it could be adapted or hybridized with other optimization strategies to further enhance performance.

Future work could involve extending SSA's application scope to combinatorial problems or integrating adaptive parameter controls to automate fine-tuning processes. Additionally, the exploration of incorporating deterministic optimization techniques within SSA's framework could also offer substantial gains. Such advancements could open pathways toward tackling more nuanced real-world challenges, from industrial optimization tasks to intricate data mining operations.

In summary, the SSA represents a promising addition to the global optimization landscape, offering a biologically insightful and computationally effective approach to address the demanding needs of modern optimization tasks. Its innovative use of social spider foraging behavior not only enhances theoretical understanding within swarm intelligence but also paves the way for practical applications across diverse problem domains.