The capability to balance the exploration of the search space with the exploitation of already identified solutions is crucial to the effectiveness of an Evolutionary Algorithm (EA) in finding a globally optimal solution. Drawing inspiration from natural processes, numerous evolutionary algorithms have been devised by researchers, initially incorporating operators that replicate nature’s approach to addressing complex challenges, without explicitly factoring in the exploration–exploitation equilibrium. This chapter presents an algorithm inspired by nature, named the States of Matter Search (SMS). The behavior of matter states is represented by individuals acting as molecules, which engage in evolutionary processes based on the physical principles of thermal energy movement, modeled by this approach. This model was designed by assigning an exploration–exploitation relation to each state of matter. It mimics the three states, solid, liquid, and gas, through distinct stages of the evolutionary process. In these stages, molecules (representing individuals) demonstrate varying mobility capabilities. The algorithm shifts its focus entirely to exploitation as it reaches the solid state, after progressively adjusting the balance between exploration and exploitation, which initially starts at the gas state where exploration is the sole focus. The methodology significantly enhances the exploration–exploitation equilibrium while retaining the strong search abilities typical of evolutionary strategies. To show the effectiveness and reliability of this algorithm, it is benchmarked against other established evolutionary techniques containing variants that incorporate strategies for maintaining diversity. The evaluation involves multiple standard test functions widely recognized in evolutionary algorithms. The experimental outcomes indicate that the method outperforms its counterparts due to its management of exploration and exploitation.

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An Optimization Algorithm Inspired by the States of Matter that Improves the Balance Between Exploration and Exploitation

  • Erik Cuevas,
  • Angel Chavarin-Fajardo,
  • Cesar Ascencio-Piña,
  • Sonia Garcia-De-Lira

摘要

The capability to balance the exploration of the search space with the exploitation of already identified solutions is crucial to the effectiveness of an Evolutionary Algorithm (EA) in finding a globally optimal solution. Drawing inspiration from natural processes, numerous evolutionary algorithms have been devised by researchers, initially incorporating operators that replicate nature’s approach to addressing complex challenges, without explicitly factoring in the exploration–exploitation equilibrium. This chapter presents an algorithm inspired by nature, named the States of Matter Search (SMS). The behavior of matter states is represented by individuals acting as molecules, which engage in evolutionary processes based on the physical principles of thermal energy movement, modeled by this approach. This model was designed by assigning an exploration–exploitation relation to each state of matter. It mimics the three states, solid, liquid, and gas, through distinct stages of the evolutionary process. In these stages, molecules (representing individuals) demonstrate varying mobility capabilities. The algorithm shifts its focus entirely to exploitation as it reaches the solid state, after progressively adjusting the balance between exploration and exploitation, which initially starts at the gas state where exploration is the sole focus. The methodology significantly enhances the exploration–exploitation equilibrium while retaining the strong search abilities typical of evolutionary strategies. To show the effectiveness and reliability of this algorithm, it is benchmarked against other established evolutionary techniques containing variants that incorporate strategies for maintaining diversity. The evaluation involves multiple standard test functions widely recognized in evolutionary algorithms. The experimental outcomes indicate that the method outperforms its counterparts due to its management of exploration and exploitation.