This paper presents a queuing analysis model of a PC-based software router supporting IPv6-IPv4 translation for residential gateway. The propose models are M/G/1/K or MMPP-2/G/1/K by arrival process of PC-based software router. In M/G/1/K, the arrival process is assumed to be Poisson Process which is independent, identically distributed. In MMPP-2/G/1/K, The arrival process is assumed to be two-state Markov Modulated Poisson Process (MMPP). MMPP-2/G/1/K model is used to represent self-similar traffic. The service time distribution is arbitrary. The service discipline of server is processor sharing. The total number of packets that can be processed at one time is limited to K. We obtain PC-based software router performance metrics such as system sojourn time, blocking probability and throughput. The parameters are estimated by maximizing the log-like hood function of the measured average response time. The model has been validated through measurements. The performance metrics predicted by the model fit well to the experimental outcome.