A Simulated Annealing-Based Multiobjective Optimization Algorithm: AMOSA
This paper describes a simulated annealing based multiobjective optimization algorithm that incorporates the concept of archive in order to provide a set of tradeoff solutions for the problem under consideration. To determine the acceptance probability of a new solution vis-a-vis the current solutio...
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| Veröffentlicht in: | IEEE transactions on evolutionary computation Jg. 12; H. 3; S. 269 - 283 |
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| Hauptverfasser: | , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
IEEE
01.06.2008
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Schlagworte: | |
| ISSN: | 1089-778X, 1941-0026 |
| Online-Zugang: | Volltext |
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| Abstract | This paper describes a simulated annealing based multiobjective optimization algorithm that incorporates the concept of archive in order to provide a set of tradeoff solutions for the problem under consideration. To determine the acceptance probability of a new solution vis-a-vis the current solution, an elaborate procedure is followed that takes into account the domination status of the new solution with the current solution, as well as those in the archive. A measure of the amount of domination between two solutions is also used for this purpose. A complexity analysis of the proposed algorithm is provided. An extensive comparative study of the proposed algorithm with two other existing and well-known multiobjective evolutionary algorithms (MOEAs) demonstrate the effectiveness of the former with respect to five existing performance measures, and several test problems of varying degrees of difficulty. In particular, the proposed algorithm is found to be significantly superior for many objective test problems (e.g., 4, 5, 10, and 15 objective problems), while recent studies have indicated that the Pareto ranking-based MOEAs perform poorly for such problems. In a part of the investigation, comparison of the real-coded version of the proposed algorithm is conducted with a very recent multiobjective simulated annealing algorithm, where the performance of the former is found to be generally superior to that of the latter. |
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| AbstractList | An extensive comparative study of the proposed algorithm with two other existing and well-known multiobjective evolutionary algorithms (MOEAs) demonstrate the effectiveness of the former with respect to five existing performance measures, and several test problems of varying degrees of difficulty. This paper describes a simulated annealing based multiobjective optimization algorithm that incorporates the concept of archive in order to provide a set of tradeoff solutions for the problem under consideration. To determine the acceptance probability of a new solution vis-a-vis the current solution, an elaborate procedure is followed that takes into account the domination status of the new solution with the current solution, as well as those in the archive. A measure of the amount of domination between two solutions is also used for this purpose. A complexity analysis of the proposed algorithm is provided. An extensive comparative study of the proposed algorithm with two other existing and well-known multiobjective evolutionary algorithms (MOEAs) demonstrate the effectiveness of the former with respect to five existing performance measures, and several test problems of varying degrees of difficulty. In particular, the proposed algorithm is found to be significantly superior for many objective test problems (e.g., 4, 5, 10, and 15 objective problems), while recent studies have indicated that the Pareto ranking-based MOEAs perform poorly for such problems. In a part of the investigation, comparison of the real-coded version of the proposed algorithm is conducted with a very recent multiobjective simulated annealing algorithm, where the performance of the former is found to be generally superior to that of the latter. |
| Author | Deb, K. Bandyopadhyay, S. Maulik, U. Saha, S. |
| Author_xml | – sequence: 1 givenname: S. surname: Bandyopadhyay fullname: Bandyopadhyay, S. organization: Indian Stat. Inst., Kolkata – sequence: 2 givenname: S. surname: Saha fullname: Saha, S. organization: Indian Stat. Inst., Kolkata – sequence: 3 givenname: U. surname: Maulik fullname: Maulik, U. – sequence: 4 givenname: K. surname: Deb fullname: Deb, K. |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20412485$$DView record in Pascal Francis |
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| CODEN | ITEVF5 |
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| SubjectTerms | Algorithm design and analysis Algorithms Amount of domination Applied sciences archive Archives Artificial intelligence clustering Clustering algorithms Computer science; control theory; systems Computer simulation Costs Evolutionary algorithms Evolutionary computation Exact sciences and technology Heuristic Land surface temperature Learning and adaptive systems Machine intelligence Mathematical models multiobjective optimization (MOO) Optimization Pareto optimality Pareto-optimal (PO) Performance evaluation Simulated annealing simulated annealing (SA) Studies Testing |
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