An Effective Branch and Bound Algorithm for Minimax Linear Fractional Programming. (15th June 2014)

• Record Type: Journal Article
• Authors: Jiao, Hong-Wei; Wang, Feng-Hui; Chen, Yong-Qiang
• Other Names: Hosseinzadeh Lotfi Farhad Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-06-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/160262
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : An effective branch and bound algorithm is proposed for globally solving minimax linear fractional programming problem (MLFP). In this algorithm, the lower bounds are computed during the branch and bound search by solving a sequence of linear relaxation programming problems (LRP) of the problem (MLFP), which can be derived by using a new linear relaxation bounding technique, and which can be effectively solved by the simplex method. The proposed branch and bound algorithm is convergent to the global optimal solution of the problem (MLFP) through the successive refinement of the feasible region and solutions of a series of the LRP. Numerical results for several test problems are reported to show the feasibility and effectiveness of the proposed algorithm.