In recent years, fuzzy and simulation methods had been used in network engineering. In this manuscript, the authors apply a compound traffic engineering approach of the fuzzy & simulation techniques for a Managed Internet Protocol (IP) network to derive the route evaluation indexes to facilitate the facility deployment and hence, ensure the accomplishment of a better network Quality of Service (QoS). To this end, the results of this research will be of significance to the future development and construction of an effective & efficient network routing to meet the growing and fierce requirement for a better service standard. According to prior studies done with the experimental findings, this proposed design approach utilized by a Managed IP/MPLS (Multi- Protocol Label Switch) network and associated with the transmission of voice/fax/data packets was mainly to improve effectively the routing performance level. Moreover, a dual-homing traffic engineering strategy was addressed to increase the network system utility with the proposed simulated study.