Abstract: The competitive analysis of on-line algorithms has been criticized as being too crude and unrealistic. We propose two refinements of competitive analysis an two directions: The first restricts the power of the adversary by allowing only certain input distributions, while the other allows for comparisons between information regimes for on-line decision-making. We illustrate the first with an application to the paging problem; as a by product we characterize completely the work functions of this important special case of the k-server problem. We use the second refinement to explore the power of lookahead in server systems, and the power of visual sensors in robot navigation.<
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