The k-Server Problem with Parallel Requests and the Compound Work Function Algorithm
In this paper the compound work function algorithm for solving the generalized k-server problem is proposed. This problem is an online k-server problem with parallel requests where several servers can also be located on one point. In 1995 Koutsoupias and Papadimitriou have proved that the well-known...
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| Veröffentlicht in: | Baltic Journal of Modern Computing Jg. 8; H. 1; S. 1 - 20 |
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| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Riga
University of Latvia
2020
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| Schlagworte: | |
| ISSN: | 2255-8950, 2255-8942, 2255-8950 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper the compound work function algorithm for solving the generalized k-server problem is proposed. This problem is an online k-server problem with parallel requests where several servers can also be located on one point. In 1995 Koutsoupias and Papadimitriou have proved that the well-known work function algorithm is competitive for the (usual) k-server problem. A proof, where a potential-like function argument is included, was given by Borodin and El-Yaniv in 1998. Unfortunately, certain techniques of these proofs cannot be applied to show that a natural generalization of the work function algorithm is competitive for the problem with parallel requests. Values of work functions, which are used by the compound work function algorithm are derived from a surrogate problem, where at most one server must be moved in servicing the request in each step. We can show that the compound work function algorithm is competitive with the same bound of the ratio as in the case of the usual problem. |
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| Bibliographie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 2255-8950 2255-8942 2255-8950 |
| DOI: | 10.22364/bjmc.2020.8.1.01 |