A Simple Analysis for Randomized Online Weighted Paging

We describe a new potential function based proof for an O(log k)-competitive algorithm for weighted paging, and more generally an O(log k/(k−h+1))-competitive algorithm for the weighted (h, k)-paging problem. In contrast to previous results that are based on the online primal-dual framework, our analysis is extremely simple, and we believe that the technique might be useful in the analysis of other related problems.