Titel: Disjoint path allocation with sublinear advice
Autor/-in: Gebauer, Heidi
Komm, Dennis
Královič, Rastislav
Královič, Richard
Smula, Jasmin
Tagungsband: Computing and Combinatorics
Seiten: 417
Seiten bis: 429
Angaben zur Konferenz: COCOON 2015, 21st International Computing and Combinatorics Conference, Beijing, China, 4-6 August 2015
Verlag / Hrsg. Institution: Springer
Verlag / Hrsg. Institution: Cham
Erscheinungsdatum: 2015
Lizenz (gemäss Verlagsvertrag): Lizenz gemäss Verlagsvertrag
Reihe: Lecture Notes in Computer Science
Reihenzählung: 9198
Art der Begutachtung: Peer review (Publikation)
Sprache: Englisch
Schlagwörter: Competitive ratio; Input length; Online algorithm; Hypergeometric distribution; Deterministic algorithm
Fachgebiet (DDC): 500: Naturwissenschaften und Mathematik
Zusammenfassung: We study the disjoint path allocation problem. In this setting, a path P of length L is given, and a sequence of subpaths of P arrives online, one in every time step. Each such path requests a permanent connection between its two end-vertices. An online algorithm can admit or reject such a request; in the former case, none of the involved edges can be part of any other connection. We investigate how much additional binary information (called “advice”) can help to obtain a good solution. It is known that, with roughly log2log2L advice bits, it can be guaranteed that a log2L-competitive solution is computed. In this paper, we prove the surprising result that, with L1−ε advice bits, it is not possible to obtain a solution with a competitive ratio better than (δlog2L)/2, where 0<δ<ε<1. This shows an interesting threshold behavior of the problem. A fairly good competitive ratio, namely log2L, can be obtained with very few advice bits. However, any increase of the advice does not help any further until an almost linear number of advice bits is supplied. Then again, it is also known that linear advice allows for optimality.
Departement: School of Engineering
Organisationseinheit: Institut für Angewandte Mathematik und Physik (IAMP)
Publikationstyp: Konferenz: Paper
DOI: 10.1007/978-3-319-21398-9_33
ISBN: 978-3-319-21397-2
978-3-319-21398-9
ISSN: 0302-9743
1611-3349
URI: https://digitalcollection.zhaw.ch/handle/11475/15845
Enthalten in den Sammlungen:Publikationen School of Engineering

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