A cache management system employs a replacement policy in a manner that manages redundant accesses to cache elements. The cache management system comprises a cache, a replacement policy state storage and an update control module. The update control module comprises a buffer for storing recent addresses, a comparison unit for comparing a new address with those stored in the recent address buffer, and an update unit which determines whether to update the replacement policy state storage. When an address matches those stored in the recent address buffer, a replacement status update is suppressed.