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Mobile IPv6 (MIPv6) and Hierarchical Mobile IPv6 (HMIPv6) both are the mobility management solutions proposed by the Internet Engineering Task Force (IETF) to support IP Mobility. It's been an important issue, that upon certain condition, out of MIPv6 and HMIPv6 which one is better. In this paper an Optimum E fficient Mobility Management (OEMM) scheme is described on the basis of analytical model which shows that OEMM Scheme is better in terms of performance and applicability of MIPv6 and HMIPv6. It shows that which one is better alternative between MIPv6 and HMIPv6 and if HMIPv6 is adopted it chooses the best Mobility Anchor Point (MAP). Finally it is illustrated that OE MM scheme is better than that of MIPv6 and HMIPv6
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