Web objects, such as media files are sent through an adaptation server which includes a transcoder for adapting forwarded objects according to profiles of the receiving destinations, and a cache memory for caching frequently requested objects, including their adapted versions. The probability of additional requests for the same object before the object expires, is assessed by tracking hits. Only objects having experienced hits in excess of a hit threshold are cached, the hit threshold being adaptively adjusted based on the capacity of the cache, and the space required to store cached media files. Expired objects are collected in a list, and may be periodically ejected from the cache, or when the cache is nearly full.