Amortized efficiency of list update and paging rules
Communications of the ACM
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Competitive algorithms for server problems
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Competitive algorithms for the weighted server problem
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Competitive algorithms for multilevel caching and relaxed list update
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Trackless online algorithms for the server problem
Information Processing Letters - Special issue analytical theory of fuzzy control with applications
Limited bookmark randomized online algorithms for the paging problem
Information Processing Letters
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On the on-line weighted k-taxi problem
ESCAPE'07 Proceedings of the First international conference on Combinatorics, Algorithms, Probabilistic and Experimental Methodologies
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We consider a generalized 2-server problem on the uniform space in which servers have different costs. Previous work focused on the case where the ratio between these costs was very large. We give results for varying ratios. For ratios below 2.2, we present an optimal algorithm which is trackless. We present a general lower bound for trackless algorithms depending on the cost ratio, proving that our algorithm is the optimal trackless algorithm up to a constant factor for any cost ratio. The results are extended for the case where we have two sets of servers with different costs.