Abstract
The applicability of the accommodating function, a relatively new measure for the quality of on-line algorithms, is extended. If a limited amount n of some resource is available, the accommodating function \( \mathcal{A} \) (α) is the competitive ratio when input sequences are restricted to those for which the amount α n of resources suffices for an optimal off-line algorithm. The accommodating function was originally used only for α ≥ 1. We focus on α < 1, observe that the function now appears interesting for a greater variety of problems, and use it to make new distinctions between known algorithms and to find new ones.
Supported in part by the Future and Emerging Technologies program of the EU under contract number IST-1999-14186 (ALCOM-FT) and in part by the Danish Natural Science Research Council (SNF).
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Boyar, J., Favrholdt, L.M., Larsen, K.S., Nielsen, M.N. (2002). Extending the Accommodating Function. In: Ibarra, O.H., Zhang, L. (eds) Computing and Combinatorics. COCOON 2002. Lecture Notes in Computer Science, vol 2387. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45655-4_11
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DOI: https://doi.org/10.1007/3-540-45655-4_11
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