2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15930We analyze quantitatively several strategies for better utilization of the {\em cache} or the {\em {fast access}} memory in computers. We define a performance factor $α$ that denotes the fraction of the cache area utilized when the main memory is accessed at random. We calculate $α$ exactly for different competing strategies, including the hash-rehash and the skewed-associative strategies which were earlier analyzed via simulations.4 pages Revtex (two-column)Statistical Mechanicstext