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This paper proposes a new method to plan project durations that are modeled as stochastic networks such as the GERT network. Since stochastic networks have a variable time and a branching probability for each arrow, the total duration of the network is also modeled as a variable. In order to complete the project by the desired date with a certain confidence, the variable times or branching probabilities of the network should be designed appropriately. We propose a planning method for branching probabilities to realize the desired project duration using GA and Monte Carlo simulation.