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STOC
1991
ACM
127views Algorithms» more  STOC 1991»
13 years 8 months ago
Lower Bounds for Randomized k-Server and Motion Planning Algorithms
In this paper, we prove lower bounds on the competitive ratio of randomized algorithms for two on-line problems: the k-server problem, suggested by [MMS], and an on-line motion-pl...
Howard J. Karloff, Yuval Rabani, Yiftach Ravid
ICALP
2011
Springer
12 years 8 months ago
On the Advice Complexity of the k-Server Problem
Competitive analysis is the established tool for measuring the output quality of algorithms that work in an online environment. Recently, the model of advice complexity has been in...
Hans-Joachim Böckenhauer, Dennis Komm, Rastis...
IJRR
2011
174views more  IJRR 2011»
12 years 11 months ago
Bounding on rough terrain with the LittleDog robot
— In this paper we develop an RRT-based motion planner that achieved bounding in simulation with the LittleDog robot over extremely rough terrain. LittleDog is a quadruped robot ...
Alexander C. Shkolnik, Michael Levashov, Ian R. Ma...
DAGSTUHL
2006
13 years 5 months ago
Upper and Lower Bounds on Sizes of Finite Bisimulations of Pfaffian Dynamical Systems
In this paper we study a class of dynamical systems defined by Pfaffian maps. It is a sub-class of o-minimal dynamical systems which capture rich continuous dynamics and yet can be...
Margarita V. Korovina, Nicolai Vorobjov
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 4 months ago
Incremental Sampling-based Algorithms for Optimal Motion Planning
During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs), have been shown to work well in practice and to po...
Sertac Karaman, Emilio Frazzoli