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An Easy-to-use Real-world Multi-objective Optimization Problem Suite (2009.12867v1)

Published 27 Sep 2020 in cs.NE

Abstract: Although synthetic test problems are widely used for the performance assessment of evolutionary multi-objective optimization algorithms, they are likely to include unrealistic properties which may lead to overestimation/underestimation. To address this issue, we present a multi-objective optimization problem suite consisting of 16 bound-constrained real-world problems. The problem suite includes various problems in terms of the number of objectives, the shape of the Pareto front, and the type of design variables. 4 out of the 16 problems are multi-objective mixed-integer optimization problems. We provide Java, C, and Matlab source codes of the 16 problems so that they are available in an off-the-shelf manner. We examine an approximated Pareto front of each test problem. We also analyze the performance of six representative evolutionary multi-objective optimization algorithms on the 16 problems. In addition to the 16 problems, we present 8 constrained multi-objective real-world problems.

Citations (208)

Summary

  • The paper introduces a benchmark suite of 24 diverse, real-world optimization problems that provide a realistic testing ground for EMOAs.
  • It employs a range of problem characteristics including variable types, mixed-integer designs, and surrogate-based models to mimic practical challenges.
  • The study evaluates multiple EMOAs, revealing algorithm strengths and limitations when addressing complex, irregular Pareto fronts.

An Examination of a Real-world Multi-objective Optimization Problem Suite

In the domain of evolutionary multi-objective optimization algorithms (EMOAs), the choice and design of suitable benchmark problems are crucial for assessing performance and driving algorithmic development. The paper "An Easy-to-use Real-world Multi-objective Optimization Problem Suite" by Ryoji Tanabe and Hisao Ishibuchi addresses a significant gap in the literature concerning the overreliance on synthetic test problems, which may not accurately reflect challenges posed by real-world applications.

The paper introduces a suite comprising 16 bound-constrained real-world problems alongside 8 constrained real-world problems. A notable contribution is the amalgamation of diverse problem characteristics, including variations in the number of objectives, Pareto front shapes, and variable types, with four of the problems involving mixed-integer design variables. This suite is designed to facilitate the empirical performance assessment of EMOAs with a practical focus on real-world applicability, an area often overlooked due to the dominance of synthetic benchmark problems.

Key Features of the Problem Suite

The suite offers several essential features:

  • Diversity of Problem Characteristics: By including problems with different Pareto front shapes and mixed variable types, the suite exposes EMOAs to a range of scenarios that better mimic real-world conditions.
  • Surrogate-based Models: Four of the problems utilize surrogate-based models, ensuring computational efficiency while retaining the essence of the underlying real-world challenges.
  • Supplementary Code Availability: Java, C, and Matlab implementations are provided, enabling researchers to easily integrate these problems into their existing testing frameworks.

Performance Analysis of EMOAs

The paper extends its utility by evaluating the performance of six well-known EMOAs on the problem suite. Results indicate that while algorithms like IBEA demonstrate robustness across multiple problem instances, others such as MOEA/D-PBI encounter challenges on complex problem landscapes, particularly those with irregular Pareto fronts. This variability underscores the necessity for a well-rounded set of benchmarks to reveal nuances in algorithm performance that might be obscured by synthetic problems with simplified or atypical characteristics.

Implications and Future Directions

The development and dissemination of this problem suite have notable implications. Practically, it bridges the gap between theoretical algorithm development and their application in real-world scenarios, thus promoting advancements in designing algorithms that are not only efficient on paper but also adept at handling genuine industry tasks. Theoretically, it opens avenues for exploring new algorithmic strategies tailored to address the complexities inherent in real-world optimization beyond the scope of conventional synthetic benchmark problems.

Future research could involve expanding the suite to include more recent real-world problems that leverage advances in simulation technologies. Additionally, integrating dynamic, multi-modal, and constrained optimization problems can further enhance the suite's utility and applicability.

In conclusion, this paper's introduction of a real-world multi-objective optimization problem suite is a valuable contribution, providing the community with a robust, grounded platform for algorithm testing and validation. By aligning benchmark design closer to real-world conditions, the suite paves the way for more innovative and applicable EMOA research and development.