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- W2130144090 abstract "We extend the definition of Metrical Task Systems, introduced by Borodin et al. in [4]. In the extended definition, a system is described by the underlying metric space of states ({cal M}) as well as a set of allowable tasks ({cal T}) . Any request to an algorithm must be a member of ({cal T}) . The extension makes the model powerful enough to characterize completely many important on-line problems. We consider methods of designing competitive algorithms given the description of a system (langle {cal M}, {cal T} rangle) . In particular, we show that it is PSPACE-hard to determine the behavior of a (c({cal M},{cal T})) -competitive algorithm, where (c({cal M},{cal T})) is the best possible competitive ratio on (langle {cal M},{cal T} rangle) . In addition, we show a simple, polynomial-time algorithm for task systems (langle {cal U}_n,{cal T} rangle) (where ({cal U}_n) is the uniform metric space on n nodes) that achieves a competitive ratio of (O( log n cdot c({cal M},{cal T}))) ." @default.
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- W2130144090 date "1995-01-22" @default.
- W2130144090 modified "2023-09-26" @default.
- W2130144090 title "On algorithm design for metrical task systems" @default.
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- W2130144090 doi "https://doi.org/10.5555/313651.313779" @default.
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