A Deterministic Method for Solving the Sum of Linear Ratios Problem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Since the sum of linear ratios problem (SLRP) has many applications in real life, for globally solving it, an efficient branch and bound algorithm is presented in this paper.
By utilizing the characteristic of the problem (SLRP), we propose a convex separation technique and a two-part linearization technique, which can be used to generate a sequence of linear programming relaxation of the initial nonconvex programming problem.
For improving the convergence speed of this algorithm, a deleting rule is presented.
The convergence of this algorithm is established, and some experiments are reported to show the feasibility and efficiency of the proposed algorithm.
American Psychological Association (APA)
Wang, Zhenping& Zhang, Yonghong. 2020. A Deterministic Method for Solving the Sum of Linear Ratios Problem. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1196560
Modern Language Association (MLA)
Wang, Zhenping& Zhang, Yonghong. A Deterministic Method for Solving the Sum of Linear Ratios Problem. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1196560
American Medical Association (AMA)
Wang, Zhenping& Zhang, Yonghong. A Deterministic Method for Solving the Sum of Linear Ratios Problem. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1196560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196560