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» The Guarding Problem - Complexity and Approximation
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FCT
2003
Springer
15 years 12 months ago
On Boundaries of Highly Visible Spaces and Applications
The purpose of this paper is to investigate the properties of a certain class of highly visible spaces. For a given geometric space C containing obstacles specified by disjoint s...
John H. Reif, Zheng Sun
158
Voted
ICRA
2006
IEEE
115views Robotics» more  ICRA 2006»
16 years 21 days ago
Path Planning above a Polyhedral Terrain
— We consider the problem of path planning above a polyhedral terrain and present a new algorithm that for any p ≥ 1, computes a (c + ε)-approximation to the Lp-shortest path ...
Hamid Zarrabi-Zadeh
AAAI
1993
15 years 8 months ago
Model Simplification by Asymptotic Order of Magnitude Reasoning
One of the hardest problems in reasoning about a physical system is finding an approximate model that is mathematically tractable and yet captures the essence of the problem. Appr...
Kenneth Man-kam Yip
DAM
2006
88views more  DAM 2006»
15 years 6 months ago
Domination analysis for minimum multiprocessor scheduling
Let P be a combinatorial optimization problem, and let A be an approximation algorithm for P. The domination ratio domr(A, s) is the maximal real q such that the solution x(I) obt...
Gregory Gutin, Tommy R. Jensen, Anders Yeo
IPL
2008
111views more  IPL 2008»
15 years 6 months ago
Flying over a polyhedral terrain
We consider the problem of computing shortest paths in three-dimensions in the presence of a single-obstacle polyhedral terrain, and present a new algorithm that for any p 1, comp...
Hamid Zarrabi-Zadeh