The proliferation of the Internet and its applications has led to a potential increase in users' requests for more services at economical prices and Quality of service. The diversity of Internet traffic requires some prioritization and prioritization because some visits deserve great attention while reducing delays and packet losses compared to others. Current swap scheduling mechanisms are characterized by three main characteristics: fairness, complexity, and protection. Therefore, the question remains how we can provide equity and protection with less complex implementation. In this paper present proposed scheduling mechanism to enhance the performance of computer network. Proposed method is utilize an adaptive neural fuzzy inference system in make schedule decision and adapted to handle with varying behaviors of network. It is programmed in object oriented programming C++ with OMNET++ environment. The proposed method ANFIS solving the problem of complexity run time for WFQ algorithm. It uses ANFIS to calculate the virtual finish time for packets instead of mathematically way in the ordinary WFQ. The main contributions of this paper are minimizing the delay, reduce the packet loss in routers service queue and increasing throughput. In order to enhance the performance of computer network.