Amortized efficiency of list update and paging rules
Communications of the ACM
Navigating in unfamiliar geometric terrain
STOC '91 Proceedings of the twenty-third annual ACM symposium on Theory of computing
Theoretical Computer Science
Walking an unknown street with bounded detour
Computational Geometry: Theory and Applications
Information and Computation
Competitive searching in a generalized street
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
On information invariants in robotics
Artificial Intelligence - Special volume on computational research on interaction and agency, part 1
Robot navigation with range queries
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Randomized robot navigation algorithms
Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
On-line search in a simple polygon
SODA '94 Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms
SWAT '96 Proceedings of the 5th Scandinavian Workshop on Algorithm Theory
Competitive Searching in Polygons - Beyond Generalised Streets
ISAAC '95 Proceedings of the 6th International Symposium on Algorithms and Computation
ESA '96 Proceedings of the Fourth Annual European Symposium on Algorithms
Robust navigation in an unknown environment with minimal sensing and representation
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
Survey: Online algorithms for searching and exploration in the plane
Computer Science Review
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We consider the navigation problem of a robot from a starting point S to a target point T inside an unknown rectilinear polygon. The robot knows the directions of the points S and T and it can detect the edges of the polygon through its tactile sensors. We present a competitive strategy for the robot to reach the target T. The competitive ratio of our strategy is ≤ 4.5d(K-1)(K+2)+O(1), where, K=3(d/2)-1 and d is the L1 distance between S and T. We do not assume any structural restriction on the polygon, however tbe point S must be on one of the extreme edges of the polygon. This is the first strategy to search for a target inside an arbitrary unknown polygon with competitive ratio independent of the number of edges of the polygon.