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Considering lack of comparative studies on Ping-pong movement, comprehensive evaluations were carried out to estimate the impact of layer-3 handoff latency on End-to-End TCP for mobile IPv6 and its extensions. Results show that FHMIPv6, which has 273ms overall handoff delay, 93.867 Kbytes/s average goodput and 9.125% packet loss rate, performs better than HMIPv6 and FMIPv6 frameworks under Ping-pong movement. The worst is MIPv6 suffering from 18.852% packet loss rate and performance degradation of 817ms overall handoff delay and 83.820 Kbytes/s average goodput. Furthermore, we proposed a new scheme called optimized FHMIPv6, which implements the MN's fast and seamless handoff. Experiments indicate that the overall handoff delay of the optimized FHMIPv6 is only 100ms, and its average goodput and packet loss rate are 101.574 Kbytes/s and 1.664% respectively, compared with FHMIPv6, the new scheme can further reduce the layer-3 handoff latency and eliminate the possibility of packets loss as well as improve the whole throughput and goodput.