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Numerical Functional Analysis and Optimization Volume 38, 2017 - Issue 11
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Original Articles

An Efficient Algorithm for Quadratic Sum-of-Ratios Fractional Programs Problem

Hongwei JiaoSchool of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang, China;School of Mathematics and Statistics, Xidian University, Xi’an, ChinaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-3695-387X
ORCID Icon &
Sanyang LiuSchool of Mathematics and Statistics, Xidian University, Xi’an, China
Pages 1426-1445 | Received 18 Feb 2016, Accepted 04 May 2017, Published online: 16 Jun 2017

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Hongwei Jiao, Youlin Shang & Wenjie Wang. (2022) Solving generalized polynomial problem by using new affine relaxed technique. International Journal of Computer Mathematics 99:2, pages 309-331.
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Dongwei Shi & Jianbing Cao. (2020) The Sherman–Morrison–Woodbury formula for the Moore–Penrose metric generalized inverse. Linear and Multilinear Algebra 68:5, pages 972-982.
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Jianbing Cao & Jiefang Liu. (2019) Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in Lp(Ω, μ). International Journal of Computer Mathematics 96:4, pages 729-752.
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Articles from other publishers (19)

Hong-Wei Jiao & You-Lin Shang. (2022) Two-Level Linear Relaxation Method for Generalized Linear Fractional Programming. Journal of the Operations Research Society of China 11:3, pages 569-594.
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Peiping Shen, Dianxiao Wu & Yafei Wang. (2023) An efficient spatial branch-and-bound algorithm using an adaptive branching rule for linear multiplicative programming. Journal of Computational and Applied Mathematics 426, pages 115100.
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Zhisong Hou & Sanyang Liu. (2023) An accelerating outer space algorithm for globally solving generalized linear multiplicative problems. Numerical Algorithms.
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Xiang He, Zhiying Tu, Markus Wagner, Xiaofei Xu & Zhongjie Wang. (2023) Online Deployment Algorithms for Microservice Systems With Complex Dependencies. IEEE Transactions on Cloud Computing 11:2, pages 1746-1763.
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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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S. M. Mirhadi & S. A. MirHassani. (2022) A solution approach for cardinality minimization problem based on fractional programming. Journal of Combinatorial Optimization 44:1, pages 583-602.
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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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Bo Zhang, YueLin Gao, Xia Liu & XiaoLi Huang. (2022) An Outcome-Space-Based Branch-and-Bound Algorithm for a Class of Sum-of-Fractions Problems. Journal of Optimization Theory and Applications 192:3, pages 830-855.
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Sanyang Liu & Li Ge. (2021) An outcome space algorithm for minimizing a class of linear ratio optimization problems. Computational and Applied Mathematics 40:6.
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Yongjian Qiu, Yuming Zhu & Jingben Yin. (2021) An Efficient Algorithm for Solving a Class of Fractional Programming Problems. Mathematical Problems in Engineering 2021, pages 1-12.
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Yongjian Qiu, Yuming Zhu & Jingben Yin. (2021) Branch-and-Reduction Algorithm for Indefinite Quadratic Programming Problem. Complexity 2021, pages 1-14.
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Peiping Shen, Kaimin Wang & Ting Lu. (2020) Outer space branch and bound algorithm for solving linear multiplicative programming problems. Journal of Global Optimization 78:3, pages 453-482.
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Long He, Guangrui Ma, Wei Qi & Xin Wang. (2020) Charging an Electric Vehicle-Sharing Fleet. Manufacturing & Service Operations Management.
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Peiping Shen, Zeyi Zhu & Xiao Chen. (2019) A practicable contraction approach for the sum of the generalized polynomial ratios problem. European Journal of Operational Research 278:1, pages 36-48.
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Dongwei Shi, Jingben Yin & Chunyang Bai. (2019) An Effective Global Optimization Algorithm for Quadratic Programs with Quadratic Constraints. Symmetry 11:3, pages 424.
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Shuai Tang, Yuzhen Chen & Yunrui Guo. (2018) An effective algorithm for globally solving quadratic programs using parametric linearization technique. Open Mathematics 16:1, pages 1300-1312.
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Yingfeng Zhao & Ting Zhao. (2018) A reduced space branch and bound algorithm for a class of sum of ratios problems. Open Mathematics 16:1, pages 539-552.
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Hongwei Jiao & Rongjiang Chen. (2018) A parametric linearizing approach for quadratically inequality constrained quadratic programs. Open Mathematics 16:1, pages 407-419.
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