Stability, or robust [Dscr ]-stability analysis of computer network considered as a dynamic system, relies on increasing the speed of data transmission while minimizing the queuing time delays of its packets in the router buffers that can affect the overall data flow of the network traffic. We consider a zero exclusion condition as an effective method for testing and analyzing the computer networks stability. Our findings indicate that keeping control over the queuing time delays as well as including some factors of the RED algorithm and its variants, which we present in this paper, can improve the quality of network services significantly. Our method can be applicable both to single-loop and multi-loop network systems.