Optimization Algorithm (ILA)

IbI Logics Optimization Algorithm: ILA 2023

Introduction

If you are looking for an effective optimization algorithm, the ILA is a good option to consider. The IbI Logics Algorithm (ILA) is a new optimization algorithm that is based on the theory of IbI logics. The ILA has three main phases: Exploration, Integration, and Exploitation. Each of the three phases of ILA is designed for a specific purpose. The Exploration phase is responsible for finding new solutions in the search space. The Integration phase is responsible for combining the new solutions with the existing solutions. The Exploitation phase is responsible for finding the best solution in the search space.

The ILA has several advantages over other optimization algorithms. First, the ILA can monitor the exploration and exploitation phases separately. This allows the user to control the performance of the algorithm and to adjust the parameters as needed. Second, the ILA is very accurate in determining the optimal solution. Third, the ILA has a reasonable computation time.

Here are some of the benefits of using the ILA optimization algorithm:

  • The ILA can monitor the exploration and exploitation phases separately, which allows the user to control the performance of the algorithm and to adjust the parameters as needed.
  • The ILA is very accurate in determining the optimal solution.
  • The ILA has a reasonable computation time.

ILA Framework

To illustrate the effectiveness of the IbI Logics Algorithm (ILA), we will delve into a specific benchmark problem known as the ‘De-Jong 5’. This benchmark problem is widely used in the field of optimization to evaluate the performance of various algorithms. The objective of the ‘De-Jong 5’ problem is to find the minimum value of a multimodal function within a given search space.

Let’s walk through the steps involved in applying the ILA to solve the ‘De-Jong 5’ problem:

  • Stage 1- Exploration Phase: In this phase, the ILA explores the search space by iteratively evaluating and updating the solutions. Through the exploration phase, the algorithm aims to identify promising regions within the search space that may contain optimal solutions.

  • Stage 2- Integration Phase: This phase focuses on integrating the information gathered during exploration and improving the experts’ performance. It combines the strengths of different experts to refine the solutions further.

  • Stage 3- Exploitation Phase: In the exploitation phase, the ILA narrows down its focus to exploit the most promising regions identified in the exploration and integration phases. It intensifies the search in these regions, aiming to converge towards the optimal solution. By dedicating resources to exploit these regions, the algorithm maximizes its chances of finding the global minimum or an excellent near-optimal solution.

Reference

Mirrashid, Masoomeh., Naderpour, Hosein., “Incomprehensible but Intelligible-in-Time Logics: Theory and Optimization Algorithm”., (2023) Knowledge-Based Systems, 264, no. 110305., DOI: HTTPS://DOI.ORG/10.1016/j.knosys.2023.110305

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