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Optimization of Polynomial Fractional Functions |
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| Authors: | Hoang Tuy Phan Thien Thach Hiroshi Konno |
| Affiliation: | (1) Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam (e-mail;(2) Department of Industrial Engineering and Management, Tokyo Institute of Technology, Tokyo |
| Abstract: | A new approach is proposed for optimizing a polynomial fractional function under polynomial constraints, or more generally, a synomial fractional function under synomial constraints. The approach is based on reformulating the problem as the optimization of an increasing function under monotonic constraints. |
| Keywords: | fractional programming global optimization minimizing a sum of many linear fractions monotonic optimization polyblock approximation method polynomial synomial |
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