A New Approach to the Server Problem

Abstract
A new method for dealing with the server problem is proposed. The technique consists ofembedding the given metric space M into a bigger metric space cl (M) called the closure of M ,and allowing our servers to move in cl (M ). We show how this technique can be applied to givea new optimal algorithm for two servers.1 IntroductionThe k server problem can be formulated as follows: Let M be a metric space, in which we havek mobile servers that can occupy points of M . Initially all servers...

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