### Abstract

The objective of this paper was to perform a comparative study among multiobjective optimization methods on practical problem by using modeFRONTIER optimization software, to determine the efficiency of each method. In order to measure the effectiveness and competence of each method, the lifting arm problem was chosen from the literature [1]. Two numerical performance metrics and one visual criterion were chosen for qualitative and quantitative comparisons:(1) the variance of solution distribution in the Pareto optimal regions, (2) the ratio between the number of resulting Pareto front members to total numbers fitness function calculations which is denoted by hit rate [2], and lastly (3) graphical representation of the Pareto fronts for discussion. These metrics were chosen to represent the quality, as well as speed of the algorithms by ensuring well extends solutions. The definition of the variance as the sum of the square difference between the distance of each Pareto solutions and the average distance between Pareto solutions, over the total number of Pareto solutions. Comparisons among the results obtained using different algorithms have been performed to verify their performance. The experiments carried out indicate that FMOGA-II obtains remarkable results regarding all metrics used.

Original language | English |
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Title of host publication | Mechanical and Aerospace Engineering |

Subtitle of host publication | ICMAE2011 |

Editors | Wu Fan |

Publisher | Scientific.net |

Pages | 2383-2389 |

Number of pages | 7 |

Volume | 1 |

ISBN (Electronic) | 9783038137085 |

ISBN (Print) | 9783037852620 |

DOIs | |

Publication status | Published - 28 Feb 2012 |

Event | 2nd International Conference on Mechanical and Aerospace Engineering - Bangkok, Thailand Duration: 29 Jul 2011 → 31 Jul 2011 Conference number: 2 |

### Publication series

Name | Applied Mechanics and Materials |
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Volume | 110-116 |

ISSN (Print) | 1660-9336 |

ISSN (Electronic) | 1662-7482 |

### Conference

Conference | 2nd International Conference on Mechanical and Aerospace Engineering |
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Abbreviated title | ICMAE 2011 |

Country | Thailand |

City | Bangkok |

Period | 29/07/11 → 31/07/11 |

### Fingerprint

### Cite this

*Mechanical and Aerospace Engineering: ICMAE2011*(Vol. 1, pp. 2383-2389). (Applied Mechanics and Materials; Vol. 110-116). Scientific.net. https://doi.org/10.4028/www.scientific.net/AMM.110-116.2383

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*Mechanical and Aerospace Engineering: ICMAE2011.*vol. 1, Applied Mechanics and Materials, vol. 110-116, Scientific.net, pp. 2383-2389, 2nd International Conference on Mechanical and Aerospace Engineering, Bangkok, Thailand, 29/07/11. https://doi.org/10.4028/www.scientific.net/AMM.110-116.2383

**Comparison between multiobjective population-based algorithms in mechanical problem.** / Radhi, H. E.; Barrans, S. M.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Comparison between multiobjective population-based algorithms in mechanical problem

AU - Radhi, H. E.

AU - Barrans, S. M.

PY - 2012/2/28

Y1 - 2012/2/28

N2 - The objective of this paper was to perform a comparative study among multiobjective optimization methods on practical problem by using modeFRONTIER optimization software, to determine the efficiency of each method. In order to measure the effectiveness and competence of each method, the lifting arm problem was chosen from the literature [1]. Two numerical performance metrics and one visual criterion were chosen for qualitative and quantitative comparisons:(1) the variance of solution distribution in the Pareto optimal regions, (2) the ratio between the number of resulting Pareto front members to total numbers fitness function calculations which is denoted by hit rate [2], and lastly (3) graphical representation of the Pareto fronts for discussion. These metrics were chosen to represent the quality, as well as speed of the algorithms by ensuring well extends solutions. The definition of the variance as the sum of the square difference between the distance of each Pareto solutions and the average distance between Pareto solutions, over the total number of Pareto solutions. Comparisons among the results obtained using different algorithms have been performed to verify their performance. The experiments carried out indicate that FMOGA-II obtains remarkable results regarding all metrics used.

AB - The objective of this paper was to perform a comparative study among multiobjective optimization methods on practical problem by using modeFRONTIER optimization software, to determine the efficiency of each method. In order to measure the effectiveness and competence of each method, the lifting arm problem was chosen from the literature [1]. Two numerical performance metrics and one visual criterion were chosen for qualitative and quantitative comparisons:(1) the variance of solution distribution in the Pareto optimal regions, (2) the ratio between the number of resulting Pareto front members to total numbers fitness function calculations which is denoted by hit rate [2], and lastly (3) graphical representation of the Pareto fronts for discussion. These metrics were chosen to represent the quality, as well as speed of the algorithms by ensuring well extends solutions. The definition of the variance as the sum of the square difference between the distance of each Pareto solutions and the average distance between Pareto solutions, over the total number of Pareto solutions. Comparisons among the results obtained using different algorithms have been performed to verify their performance. The experiments carried out indicate that FMOGA-II obtains remarkable results regarding all metrics used.

KW - Genetic algorithms

KW - MOPSO

KW - MOSA

KW - Multiobjective optimization

UR - http://www.scopus.com/inward/record.url?scp=81255188633&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/AMM.110-116.2383

DO - 10.4028/www.scientific.net/AMM.110-116.2383

M3 - Conference contribution

AN - SCOPUS:81255188633

SN - 9783037852620

VL - 1

T3 - Applied Mechanics and Materials

SP - 2383

EP - 2389

BT - Mechanical and Aerospace Engineering

A2 - Fan, Wu

PB - Scientific.net

ER -