Before revision:  We obtain a novel closed-form stationary invariant distribution for Markov model of a generalization of LRU and MRU caching nodes  . Numerical comparisons are made with an "Incremental Rank Progress" (  CLIMB) and random eviction /replacement methods under a  Zipf popularity distribution.
After revision:  We obtain a novel closed-form stationary invariant distribution for Markov model of a generalization of LRU and MRU caching nodes under a reference Markov model . Numerical comparisons are made with an "Incremental Rank Progress" ( CLIMB) and random eviction /replacement methods under a Zipf popularity distribution.