On Behaviour of Fuzzy Norms and F Learning Automata in Distributed Multicriteria Network Routing

K. Lukac (Switzerland), Z. Lukac, and M. Tkalic (Croatia)


fuzzy logic, learning automata, multicriteria routing


In this paper we present a new model for distributed multicriteria dynamic routing and its behavior investigated through the series of experiments. This approach combines theory of learning automata with fuzzy logic theory. We call these automata the F type learning automata. Well known learning automata of P, Q and S types are special cases of this F type automata. We prove that these automata are strictly distance diminishing. Efficiency of the three combination of fuzzy t and s norms: min-max, product-algebraic sum and drastic productdrastic sum has been evaluated as well. Simulation results of the circuit switched telecommunication network obtained whereby two criteria: quality and price, have been taken into account simultaneously have shown superiority of product algebraic combination of fuzzy norms under nominal and overloaded network conditions in comparison to another tested norms. The influence of a period in which F automaton updates its action probabilities based on fuzzy environment feedback on the network gain has been investigated as well.

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