skip to main content
10.1145/3638529.3653994acmconferencesArticle/Chapter ViewAbstractPublication PagesgeccoConference Proceedingsconference-collections
research-article

Analysis of Real-World Constrained Multi-Objective Problems and Performance Comparison of Multi-Objective Algorithms

Published: 14 July 2024 Publication History

Abstract

Real-world multi-objective optimization problems usually have multiple constraints. To solve constrained multi-objective optimization problems (CMOPs), researchers have proposed various evolutionary multi-objective optimization (EMO) algorithms with constraint handling techniques. Those EMO algorithms explicitly or implicitly assume the existence of a large infeasible region in the objective space between initial solutions and the Pareto front. As a result, they use some special mechanisms to traverse such an infeasible region (e.g., push-and-pull search). However, it is not clear whether real-world CMOPs have similar characteristics. It is also unclear whether state-of-the-art EMO algorithms that proposed for artificial CMOPs work well on real-world CMOPs. In this paper, we examine the characteristics of some real-world CMOPs. We find that the examined real-world CMOPs have no large infeasible region near the Pareto front. We also compare the performance of some constrained EMO algorithms on artificial CMOPs and real-world CMOPs. Our experimental results show that performance comparison results on real-world CMOPs are clearly different from those on artificial CMOPs. It is also shown that some recently-proposed constrained EMO algorithms are outperformed by NSGA-II with the basic constraint domination principle when they are compared on real-world CMOPs.

Supplemental Material

PDF File
Supplementary Material

References

[1]
Peter A. N. Bosman and Dirk Thierens. 2003. The balance between proximity and diversity in multiobjective evolutionary algorithms. IEEE Trans. Evol. Comput. 7, 2 (Apr. 2003), 174--188.
[2]
Kalyanmoy Deb, Amrit Pratap, Sameer Agarwal, and T. Meyarivan. 2002. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 2 (Apr. 2002), 182--197.
[3]
Kalyanmoy Deb, Lothar Thiele, Marco Laumanns, and Eckart Zitzler. 2002. Scalable multi-objective optimization test problems. In Proc. IEEE Congr. Evol. Comput. Honolulu, HI, USA, 825--830.
[4]
Zitzler Eckart, Laumanns Marco, and Thiele Lothar. 2001. SPEA2: Improving the strength Pareto evolutionary algorithm. Vol. 103. TIK Report.
[5]
Zhun Fan, Wenji Li, Xinye Cai, Han Huang, Yi Fang, Yugen You, Jiajie Mo, Caimin Wei, and Erik Goodman. 2019. An improved epsilon constraint-handling method in MOEA/D for CMOPs with large infeasible regions. Soft Comput. 23 (Feb. 2019), 12491--12510.
[6]
Zhun Fan, Wenji Li, Xinye Cai, Hui Li, Caimin Wei, Qingfu Zhan, Kalyanmoy Deb, and Erik Goodman. 2019. Push and pull search for solving constrained multi-objectiveoptimization problems. Swarm Evol. Comput. 44 (Feb. 2019), 665--679.
[7]
Cheng He, Ye Tian, Handing Wang, and Yaochu Jin. 2020. A repository of real-world datasets for data-driven evolutionary multiobjective optimization. Compl. Intel. Syst. 6, 1 (2020), 189--197.
[8]
Simon Huband, Phil Hingston, Luigi Barone, and Lyndon While. 2006. The balance between proximity and diversity in multiobjective evolutionary algorithms. IEEE Trans. Evol. Comput. 10, 5 (Oct. 2006), 477--506.
[9]
Hisao Ishibuchi, Ryo Imada, Yu Setoguchi, and Yusuke Nojima. 2018. How to specify a reference point in hypervolume calculation for fair performance comparison. Evol. Comput. 26, 3 (2018), 411--440.
[10]
Hisao Ishibuchi, Yang Nan, and Lie Meng Pang. 2023. Performance evaluation of multi-objective evolutionary algorithms using artificial and real-world problems. In Evol. Multi-Criter. Optim. Leiden, The Netherlands, 333--347.
[11]
Hisao Ishibuchi, Yu Setoguchi, Hiroyuki Masuda, and Yusuke Nojima. 2017. Performance of decomposition-based many-objective algorithms strongly depends on Pareto front shapes. IEEE Trans. Evol. Comput. 21, 2 (Apr. 2017), 169--190.
[12]
Himanshu Jain and Kalyanmoy Deb. 2014. An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part II: Handling constraints and extending to an adaptive approach. IEEE Trans. Evol. Comput. 18, 4 (Aug. 2014), 602--622.
[13]
Himanshu Jain and Kalyanmoy Deb. 2018. An indicator-based multiobjective evolutionary algorithm with reference point adaptation for better versatility. IEEE Trans. Evol. Comput. 22, 4 (Aug. 2018), 609--622.
[14]
Abhishek Kumar, Guohua Wu, Mostafa Z. Ali, Qizhang Luo, Rammohan Mallipeddi, Ponnuthurai Nagaratnam Suganthan, and Swagatam Das. 2021. A benchmark-suite of real-world constrained multi-objective optimization problems and some baseline results. Swarm Evol. Comput. 67 (Aug. 2021), 1--47.
[15]
Ke Li, Renzhi Chen, Guangtao Fu, and Xin Yao. 2019. Two-archive evolutionary algorithm for constrained multi-objective optimization. IEEE Trans. Evol. Comput. 23, 2 (Apr. 2019), 303--315.
[16]
Miqing Li, Shengxiang Yang, and Xiaohui Liu. 2014. Shift-based density estimation for Pareto-based algorithms in many-objective optimization. IEEE Trans. Evol. Comput. 18, 3 (Jun. 2014), 348--365.
[17]
Zhongwei Ma and Yong Wang. 2019. Evolutionary constrained multiobjective optimization: Test suite construction and performance comparisons. IEEE Trans. Evol. Comput. 22, 6 (Dec. 2019), 972--986.
[18]
Fei Ming, Wenyin Gong, Ling Wang, and Liang Gao. 2023. A constrained many-objective optimization evolutionary algorithm with enhanced mating and environmental selections. IEEE Trans. Cyber. 53, 8 (Aug. 2023), 4934--4946.
[19]
Fei Ming, Wenyin Gong, Huixiang Zhen, Shuijia Li, Ling Wang, and Zuowen Liao. 2021. A simple two-stage evolutionary algorithm for constrained multi-objective optimization. Knowledge-Based Systems 228 (Sep. 2021), 107263.
[20]
Mengjun Ming, Rui Wang, Hisao Ishibuchi, and Tao Zhang. 2022. A novel dual-stage dual-population evolutionary algorithm for constrained multi-objective optimization. IEEE Trans. Evol. Comput. 26, 5 (Oct. 2022), 1129--1143.
[21]
Cyril Picard and Jürg Schiffmann. 2021. Realistic constrained multiobjective optimization benchmark problems from design. IEEE Trans. Evol. Comput. 25, 2 (Apr. 2021), 234--246.
[22]
Ryoji Tanabe and Hisao Ishibuchi. 2020. An easy-to-use real-world multi-objective optimization problem suite. Appl. Soft Comput. 89, 106078 (Jan. 2020).
[23]
Ye Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin. 2017. PlatEMO: A MATLAB platform for evolutionary multi-objective optimization. IEEE Comput. Intell. Mag. 12, 4 (2017), 73--87.
[24]
Ye Tian, Tao Zhang, Jianhua Xiao, Xingyi Zhang, and Yaochu Jin. 2021. A coevolutionary framework for constrained multiobjective optimization problems. IEEE Trans. Evol. Comput. 25, 1 (Feb. 2021), 102--116.
[25]
Ye Tian, Yajie Zhang, Yansen Su, Xingyi Zhang, Kay Chen Tan, and Yaochu Jin. 2022. Balancing objective optimization and constraint satisfaction in constrained evolutionary multiobjective optimization. IEEE Trans. Cyber. 52, 9 (Sep. 2022), 9559--9572.
[26]
Yuan Yuan, Hua Xu, Bo Wang, and Xin Yao. 2016. A new dominance relation-based evolutionary algorithm for many-objective optimization. IEEE Trans. Evol. Comput. 20, 1 (Feb. 2016), 16--37.
[27]
Eckart Zitzler and Lothar Thiele. 1999. Multiobjective evolutionary algorithms: A comparative case study and the strength Pareto approach. IEEE Trans. Evol. Comput. 3, 4 (Nov. 1999), 257--271.

Cited By

View all
  • (2025)Performance Analysis of Constrained Evolutionary Multi-objective Optimization Algorithms on Artificial and Real-World ProblemsEvolutionary Multi-Criterion Optimization10.1007/978-981-96-3538-2_6(72-84)Online publication date: 28-Feb-2025
  • (2025)An Extension of the Welded Beam Problem that Includes Multiple Interacting Design ConceptsEvolutionary Multi-Criterion Optimization10.1007/978-981-96-3506-1_15(211-225)Online publication date: 28-Feb-2025
  • (2024)New Framework of Multi-Objective Evolutionary Algorithms with Unbounded External ArchiveProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3638530.3648424(883-902)Online publication date: 14-Jul-2024

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences
GECCO '24: Proceedings of the Genetic and Evolutionary Computation Conference
July 2024
1657 pages
ISBN:9798400704949
DOI:10.1145/3638529
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 14 July 2024

Check for updates

Author Tags

  1. evolutionary multi-objective optimization (EMO)
  2. constraint handling technique (CHT)
  3. real-world problems

Qualifiers

  • Research-article

Funding Sources

Conference

GECCO '24
Sponsor:
GECCO '24: Genetic and Evolutionary Computation Conference
July 14 - 18, 2024
VIC, Melbourne, Australia

Acceptance Rates

Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)124
  • Downloads (Last 6 weeks)8
Reflects downloads up to 28 Feb 2025

Other Metrics

Citations

Cited By

View all
  • (2025)Performance Analysis of Constrained Evolutionary Multi-objective Optimization Algorithms on Artificial and Real-World ProblemsEvolutionary Multi-Criterion Optimization10.1007/978-981-96-3538-2_6(72-84)Online publication date: 28-Feb-2025
  • (2025)An Extension of the Welded Beam Problem that Includes Multiple Interacting Design ConceptsEvolutionary Multi-Criterion Optimization10.1007/978-981-96-3506-1_15(211-225)Online publication date: 28-Feb-2025
  • (2024)New Framework of Multi-Objective Evolutionary Algorithms with Unbounded External ArchiveProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3638530.3648424(883-902)Online publication date: 14-Jul-2024

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media