Affiliations: [a] School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China | [b] Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, China | [c] Department of Applied Mathematics, Guangdong University of Finance, Guangzhou, China | [d] Guangzhou Vocational College of Science and Technology, Guangzhou, China
Correspondence:
[*]
Correspondence to: Bing-Yuan Cao, School of Mathematicsand Information Science, Guangzhou University, Guangzhou, 510006,China. E-mails: caobingy@163.com (Bing-Yuan Cao);happyyangxp@163.com (Xiao-Peng Yang).
Abstract: Multi-level linear programming problem subject to addition-min fuzzy relation inequalities is introduced to characterize a kind of optimization models in BitTorrent-like Peer-to-Peer file sharing systems. Based on some theorems, which contribute to the resolution of the proposed problem, we develop a novel algorithm to find the unique optimal solution. A practical application example is presented to illustrate the feasibility and efficiency of the algorithm.
Keywords: Fuzzy relation inequalities, addition-min composition, multi-level linear programming, fuzzy relation equation, Peer-to-Peer file sharing system
