  The aim of this paper is a theoretical study of a cache system in order to
optimize proxy cache systems and to modernize construction principles including
prefetching schemes. Two types of correlations, Zipf-like distribution and
normalizing conditions, play a role of the fundamental laws. A corresponding
system of equations allows to describe the basic effects like ratio between
construction parts, steady-state performance, optimal size, long-term
prefetching, etc. A modification of the fundamental laws leads to the
description of new effects of documents' renewal in the global network. An
internet traffic caching system based on Zipf-like distribution (ZBS) is
invented. The additional module to the cache construction gives an effective
prefetching by lifetime.
