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Finding all minimal elements of a finite partially ordered set by genetic algorithm with a prescribed probability

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  • For a general Markov chain model of genetic algorithm, we establish an upper bound for the number of iterations which must be executed in order to find, with a prescribed probability, an optimal solution in a finite multiobjective optimization problem.
    Mathematics Subject Classification: Primary: 68T20, 90C29; Secondary: 60J20, 68W20, 92D25.


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