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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 72, 2023 - Issue 6
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Articles

A potential practical algorithm for minimizing the sum of affine fractional functions

Hongwei Jiaoa Postdoctoral Research Base, Henan Institute of Science and Technology, Xinxiang, People's Republic of China;b Postdoctoral Research Station of Control Science and Engineering, Henan University of Science and Technology, Luoyang, People's Republic of ChinaCorrespondence[email protected]
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,
Youlin Shangb Postdoctoral Research Station of Control Science and Engineering, Henan University of Science and Technology, Luoyang, People's Republic of ChinaView further author information
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Rongjiang Chena Postdoctoral Research Base, Henan Institute of Science and Technology, Xinxiang, People's Republic of ChinaView further author information
Pages 1577-1607 | Received 26 Feb 2021, Accepted 06 Dec 2021, Published online: 08 Feb 2022

Citations (13)

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Hongwei Jiao & Junqiao Ma. Optimizing generalized linear fractional program using the image space branch-reduction-bound scheme. Optimization 0:0, pages 1-32.
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Articles from other publishers (12)

Bingdi Huang & Peiping Shen. (2024) An efficient branch and bound reduction algorithm for globally solving linear fractional programming problems. Chaos, Solitons & Fractals 182, pages 114757.
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Hongwei Jiao, Yudong Sun, Wenjie Wang & Youlin Shang. (2024) Global algorithm for effectively solving min-max affine fractional programs. Journal of Applied Mathematics and Computing 70:2, pages 1787-1811.
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Hongwei Jiao, Binbin Li & Youlin Shang. (2024) An Outer Space Approach to Tackle Generalized Affine Fractional Program Problems. Journal of Optimization Theory and Applications 201:1, pages 1-35.
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Hongwei Jiao, Binbin Li & Wenqiang Yang. (2024) A criterion-space branch-reduction-bound algorithm for solving generalized multiplicative problems. Journal of Global Optimization.
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Hongwei Jiao, Wenjie Wang, Li Ge, Peiping Shen & Youlin Shang. (2023) Efficient algorithm for globally computing the min–max linear fractional programming problem. RAIRO - Operations Research 57:3, pages 1523-1537.
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Zhisong Hou & Sanyang Liu. (2022) Global algorithm for a class of multiplicative programs using piecewise linear approximation technique. Numerical Algorithms 92:2, pages 1063-1082.
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Hongwu Li, Yuling Feng, Hongwei Jiao & Youlin Shang. (2023) A novel algorithm for solving sum of several affine fractional functions. AIMS Mathematics 8:4, pages 9247-9264.
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Junqiao Ma, Hongwei Jiao, Jingben Yin & Youlin Shang. (2023) Outer space branching search method for solving generalized affine fractional optimization problem. AIMS Mathematics 8:1, pages 1959-1974.
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Hongwei Jiao & Junqiao Ma. (2022) An efficient algorithm and complexity result for solving the sum of general affine ratios problem. Chaos, Solitons & Fractals 164, pages 112701.
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Hongwei Jiao & Binbin Li. (2022) Solving min–max linear fractional programs based on image space branch-and-bound scheme. Chaos, Solitons & Fractals 164, pages 112682.
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Haoyu Zhou, Guohou Li, Xueliang Gao & Zhisong Hou. (2022) Image Space Accelerating Algorithm for Solving a Class of Multiplicative Programming Problems. Mathematical Problems in Engineering 2022, pages 1-13.
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Hongwei Jiao, Wenjie Wang, Jingben Yin & Youlin Shang. (2022) Image space branch-reduction-bound algorithm for globally minimizing a class of multiplicative problems. RAIRO - Operations Research 56:3, pages 1533-1552.
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