Amortized efficiency of list update and paging rules
Communications of the ACM
An optimal online algorithm for metrical task systems
STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Competitive algorithms for server problems
Journal of Algorithms
Journal of Algorithms
Competitive algorithms for the weighted server problem
Theoretical Computer Science - Special issue on dynamic and on-line algorithms
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Competitive analysis of randomized paging algorithms
Theoretical Computer Science
Competitive Analysis of Paging
Developments from a June 1996 seminar on Online algorithms: the state of the art
A new multilayered PCP and the hardness of hypergraph vertex cover
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Theoretical Computer Science
A study of replacement algorithms for a virtual-storage computer
IBM Systems Journal
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A generalized paging problem is considered. Each request is expressed as a set of u pages. In order to satisfy the request, at least one of these pages must be in the cache. Therefore, on a page fault, the algorithm must load into the cache at least one page out of the u pages given in the request. The problem arises in systems in which requests can be serviced by various utilities (e.g., a request for a data that lies in various web-pages) and a single utility can service many requests (e.g., a web-page containing various data). The server has the freedom to select the utility that will service the next request and hopefully additional requests in the future The case u = 1 is simply the classical paging problem, which is known to be polynomially solvable. We show that for any u 1 the offline problem is NP-hard and hard to approximate if the cache size k is part of the input, but solvable in polynomial time for constant values of k. We consider mainly online algorithms, and design competitive algorithms for arbitrary values of k,u. We study in more detail the cases where u and k are small. We also give an algorithm which uses resource augmentation and which is asymptotically optimal for u = 2