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The online algorithm design was proposed to handle the caching problem whenthe future information is unknown. And currently, it draws more and moreattentions from the researchers from the areas of microgrid, where theproduction of renewables are unpredictable.  In this note, we present a framework of randomized online algorithm designfor the \textit{simple and tractable} problem. This framework hopes to providea tractable design to design a randomized online algorithm, which can be provedto achieve the best competitive ratio by \textit{Yao's Principle}.

A Simple and General Problem and its Optimal Randomized Online Algorithm Design with Competitive Analysis