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Competitive Online Approximation of the Optimal Search Ratio (2004)  (Make Corrections)  (2 citations)
Rudolf Fleischer, Tom Kamphans, Rolf Klein, Elmar Langetepe, Gerhard Trippen



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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)

Cited by:   More
Competitive Online Searching for a Ray in the Plane - Andrea Eubeler Rudolf   (Correct)
Optimal Competitive Online Ray Search with an Error-Prone Robot - Tom Kamphans And (2005)   (Correct)

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0.5:   Competitive Search Ratio of Graphs and Polygons - Fleischer, Kamphans, Klein.. (2004)   (Correct)
0.5:   Exploring Grid Polygons Online - Icking, Kamphans, Klein, Langetepe (2005)   (Correct)
0.5:   Optimal Robot Localization in Trees - Fleischer, Romanik, Schuierer.. (2002)   (Correct)

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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" }
Citations (may not include all citations):
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
16   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 - Albers, Kursawe et al. - 1999
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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