In high-speed data networks, it is important to execute high-speed address resolution for packets at a router. To accomplish high-speed address resolution, address cache is effective. For HTTP accesses, it has been discussed that the Dual Zipfian Model can describe the distribution of the destination IP addresses, and it enabled us to derive the cache miss ratio in the steady state, i. e. , the cache miss ratio when the cache has full entries. However, at the time that systems are initialized or network topology is changed, the address cache has no address information or invalid address information. This paper shows the compulsory miss ratio which is the cache miss ratio when the cache has no address entry. In addition, we discuss the replacement policies of cache entries, for fast recovery of packet reachability, when the cache has information of unreachable address.