### Abstract

Many applications arising from areas of economics, finance and engineering are cast into the sum-of-ratios problem. Usually, the problems are on such a large scale that the existing algorithms are naive yet to obtain an optimal solution of the problems. In this study we develop a heuristic algorithm to obtain such a better solution of the sum-of-ratios problem by means of Ant Colony System. The proposed algorithm can be used for designing a globally optimal algorithm with the help of some certain strategy of global search as well. We report numerical experiments of the heuristic algorithm, which indicates that the best function value obtained from our heuristic algorithm is empirically near to the optimal value with a high probability.

Original language | English |
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Title of host publication | Soft Computing as Transdisciplinary Science and Technology - Proceedings of the 4th IEEE International Workshop, WSTST 2005 |

Pages | 1030-1039 |

Number of pages | 10 |

Edition | AISC |

Publication status | Published - 1 Dec 2005 |

Event | 4th IEEE International Workshop on Soft Computing as Transdisciplinary Science and Technology, WSTST 2005 - Muroran, Japan Duration: 25 May 2005 → 27 May 2005 |

### Publication series

Name | Advances in Soft Computing |
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Number | AISC |

ISSN (Print) | 1615-3871 |

ISSN (Electronic) | 1860-0794 |

### Conference

Conference | 4th IEEE International Workshop on Soft Computing as Transdisciplinary Science and Technology, WSTST 2005 |
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Country | Japan |

City | Muroran |

Period | 25/05/05 → 27/05/05 |

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### Cite this

*Soft Computing as Transdisciplinary Science and Technology - Proceedings of the 4th IEEE International Workshop, WSTST 2005*(AISC ed., pp. 1030-1039). (Advances in Soft Computing; No. AISC).