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COMPGEOM
1995
ACM
13 years 8 months ago
Searching for the Kernel of a Polygon - A Competitive Strategy
We present a competitive strategy for walking into the kernel of an initially unknown star-shaped polygon. From an arbitrary start point, s, within the polygon, our strategy find...
Christian Icking, Rolf Klein
COMPGEOM
1994
ACM
13 years 8 months ago
Competitive Searching in a Generalized Street
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
Amitava Datta, Christian Icking
DAGSTUHL
1994
13 years 5 months ago
Competitive Strategies for Autonomous Systems
A strategy for working with incomplete information is called competitive if it solves each problem instance at a cost not exceeding the cost of an optimal solution (with full info...
Christian Icking, Rolf Klein
STACS
1999
Springer
13 years 8 months ago
An Optimal Competitive Strategy for Walking in Streets
We present an optimal strategy for searching for a goal in a street which achieves the competitive factor of √ 2, thus matching the best lower bound known before. This finally ...
Christian Icking, Rolf Klein, Elmar Langetepe
ESA
2004
Springer
98views Algorithms» more  ESA 2004»
13 years 10 months ago
Competitive Online Approximation of the Optimal Search Ratio
How efficiently 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 poly...
Rudolf Fleischer, Thomas Kamphans, Rolf Klein, Elm...