(Enter summary)
Abstract: How e#ciently can we search an unknown environment for
a goal in unknown position? How much would it help if the environment
were known? We answer these questions for simple polygons and for
general graphs, by providing online search strategies that are as good
as the best o#ine search algorithms, up to a constant factor. For other
settings we prove that no such online algorithms exist. (Update)
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BibTeX entry: (Update)
R. Fleischer, T. Kamphans, R. Klein, E. Langetepe, and G. Trippen. Competitive online approximation of the optimal search ratio. In Proc. 12th Annu. European Sympos. Algorithms,volume3221ofLecture Notes Comput. Sci., pages 335--346, Heidelberg, 2004. Springer-Verlag. http://citeseer.ist.psu.edu/article/fleischer04competitive.html More
@misc{ fleischer04competitive,
author = "R. Fleischer and T. Kamphans and R. Klein and E. Langetepe and G. Trippen",
title = "Competitive online approximation of the optimal search ratio",
text = "R. Fleischer, T. Kamphans, R. Klein, E. Langetepe, and G. Trippen. Competitive
online approximation of the optimal search ratio. In Proc. 12th Annu. European
Sympos. Algorithms,volume3221ofLecture Notes Comput. Sci., pages 335--346,
Heidelberg, 2004. Springer-Verlag.",
year = "2004",
url = "citeseer.ist.psu.edu/article/fleischer04competitive.html" }
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65
Exploring an unknown graph (context) - Deng, Papadimitriou - 1999
46
How to learn an unknown environment I: The rectilinear case
- Deng, Kameda et al. - 1998
24
Shortest watchman routes in simple polygons (context) - Chin, Ntafos - 1991
19
line searching and navigation (context) - Berman - 1998
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Algorithmische Geometrie (context) - Klein - 1997
14
An incremental algorithm for constructing shortest watchman .. (context) - Tan, Hirata et al. - 1993
14
an incremental algorithm for constructing shortest watchman .. (context) - Tan, Hirata et al. - 1999
14
Searching a fixed graph (context) - Koutsoupias, Papadimitriou et al. - 1996
13
Exploring unknown environments with obstacles
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12
Searching in the plane (context) - Baeza-Yates, Culberson et al. - 1993
9
An optimal competitive strategy for walking in streets
- Icking, Klein et al. - 1999
9
Optimal constrained graph exploration
- Duncan, Kobourov et al. - 2001
6
Kluwer Academic Publications (context) - Alpern, Gal et al. - 2002
4
Optimal robot localization in trees
- Fleischer, Romanik et al. - 2001
4
An optimal strategy for searching in unknown streets (context) - Schuierer, Semrau - 1999
3
The polygon exploration problem
- Ho, Christian et al. - 2001
1
Touring a sequence of polygons
- Dror, Efrat et al. - 2003
1
line searching in simple polygons
- Schuierer - 1997
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