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Designing a networked system (NS), which consists of various network equipments and uses LAN technology, has become increasingly important. However, there have been few studies on NS design. Our previous study suggests that a well managed NS from an access control viewpoint has a fixed degree distribution, regardless of connection restriction. In this paper, we find an approximation function of its distribution using Genetic Algorithm. Found parameters show a well approximation result in all type of networked system. Furthermore, we propose a new measurement method for a well managed NS in access control using found parameters.