Abstract
The MIN algorithm is an offline strategy for deciding which item to replace when writing a new item to a cache. Its optimality was first established by Mattson et al. [R.L. Mattson, J.Gecsei, D.R. Slutz, I.L. Traiger, Evaluation techniques for storage hierarchies, IBM Systems Journal 9 (2) (1970) 78–117] through a lengthy analysis. We provide a short and elementary proof based on a dynamic programming argument.
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