This paper by Eckart Zitzler and Lothar Thiele from the Swiss Federal Institute of Technology Zurich presents an extensive, quantitative comparison of four multiobjective evolutionary algorithms (EAs) using an extended 0/1 knapsack problem. The study aims to address the lack of comprehensive, quantitative comparisons of different multiobjective optimization methods, which have primarily been qualitative and limited to two approaches in previous research.
The introduction explains that many real-world problems involve optimizing multiple, often competing objectives, and that the concept of Pareto-optimality is crucial. A decision vector is Pareto-optimal if no other vector in the search space dominates it. Evolutionary algorithms (EAs) are particularly suited for finding Pareto-optimal solutions due to their ability to process multiple solutions in parallel and exploit similarities through crossover.
The paper reviews various multiobjective EAs, including aggregation methods, population-based non-Pareto approaches, and Pareto-based approaches. It also discusses niche induction techniques, such as fitness sharing, which are essential for preserving diversity in multimodal optimization.
The experimental setup involves using a NP-hard 0/1 knapsack problem, which is a common real-world scenario. The study evaluates the performance of the EAs using two complementary quantitative measures and includes a pure random search algorithm for comparison. The focus is on the effectiveness in finding multiple Pareto-optimal solutions, though the distribution of these solutions is also considered as it indirectly influences the EA's performance.
The paper is structured into sections covering an overview of multiobjective evolutionary algorithms, the 0/1 knapsack problem, experimental setup, results, and conclusions.This paper by Eckart Zitzler and Lothar Thiele from the Swiss Federal Institute of Technology Zurich presents an extensive, quantitative comparison of four multiobjective evolutionary algorithms (EAs) using an extended 0/1 knapsack problem. The study aims to address the lack of comprehensive, quantitative comparisons of different multiobjective optimization methods, which have primarily been qualitative and limited to two approaches in previous research.
The introduction explains that many real-world problems involve optimizing multiple, often competing objectives, and that the concept of Pareto-optimality is crucial. A decision vector is Pareto-optimal if no other vector in the search space dominates it. Evolutionary algorithms (EAs) are particularly suited for finding Pareto-optimal solutions due to their ability to process multiple solutions in parallel and exploit similarities through crossover.
The paper reviews various multiobjective EAs, including aggregation methods, population-based non-Pareto approaches, and Pareto-based approaches. It also discusses niche induction techniques, such as fitness sharing, which are essential for preserving diversity in multimodal optimization.
The experimental setup involves using a NP-hard 0/1 knapsack problem, which is a common real-world scenario. The study evaluates the performance of the EAs using two complementary quantitative measures and includes a pure random search algorithm for comparison. The focus is on the effectiveness in finding multiple Pareto-optimal solutions, though the distribution of these solutions is also considered as it indirectly influences the EA's performance.
The paper is structured into sections covering an overview of multiobjective evolutionary algorithms, the 0/1 knapsack problem, experimental setup, results, and conclusions.