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Title: A Lower Bound for Two-Server Balancing Algorithms
Authors: Kleinberg, Jon M.
Keywords: computer science
technical report
Issue Date: May-1993
Publisher: Cornell University
Abstract: We consider the class of balancing algorithms for two servers. Such algorithms have appeared in a number of the early papers on this problem; they are so named because they seek to "balance" the distance travelled evenly among the servers. In this paper, we show a universal lower bound on the competitive ratio of any balancing algorithm for two servers. The lower bound is equal to (5 + $\sqrt{7}$)/2 ($\sim$ 3.82), and consequently shows that no optimal on-line algorithm for two servers can be expressed as a balancing algorithm.
Appears in Collections:Computer Science Technical Reports

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