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Determination of the feeder configuration involving the switch statuses is essential for the operation in the distribution system. MW loss minimization is crucial if the system is normal. This paper presents a method based on genetic algorithms (GAs) using a vertex encoding/decoding to determine the network configuration. The vertex based Prufer number is used in GAs for encoding/decoding the chromosomes (strings). The Prufer number ensures that the system structure will be radial for the distribution system. The simulation results from a 33-bus system are used to show the applicability of the proposed method.