Optimal-Vector-Based Algorithm for Solving Min-Max Programming Subject to Addition-Min Fuzzy Relation Inequality

Optimal management model in BitTorrent-like peer-to-peer (P2P) file sharing system can be reduced into a min-max programming problem subject to addition-min fuzzy relation inequality. To deal with such problem, we introduce the concept of optimal vector. Besides, a novel optimal-vector-based (OVB) a...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2017-10, Vol.25 (5), p.1127-1140
Main Author: Yang, Xiao-Peng
Format: Article
Language:English
Subjects:
Addition-min composition
fuzzy relation equation (FRE)
fuzzy relation inequality (FRI)
Indexes
Linear programming
Mathematical model
min–max programming
optimal vector
Optimization
peer-to-peer (P2P) file sharing system
Peer-to-peer computing
Programming
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Summary:Optimal management model in BitTorrent-like peer-to-peer (P2P) file sharing system can be reduced into a min-max programming problem subject to addition-min fuzzy relation inequality. To deal with such problem, we introduce the concept of optimal vector. Besides, a novel optimal-vector-based (OVB) algorithm is developed to find a minimal optimal solution. Based on practical application consideration, solution obtained by the OVB algorithm is theoretically demonstrated to be better than or equal to that obtained by the existing method. Advantage of our proposed OVB algorithm is illustrated by detailed numerical examples.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2016.2598367