Fuzzy relation lexicographic programming for modelling P2P file sharing system

Considering the requirement of the biggest download speed, a Peer-to-Peer (P2P) file sharing system can be reduced into a system of max–min fuzzy relation inequalities. In order to decrease the network congestion under some fixed priority grade of the terminals, fuzzy relation lexicographic programming is proposed to model the P2P file sharing system. For solving the proposed problem, we define concept of feasible index set and discuss some simple properties. Based on the feasible index set, a novel algorithm is developed to find the optimal solution with an illustrative example.

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