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JAL
2006
175views more  JAL 2006»
13 years 10 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin
GECCO
2009
Springer
167views Optimization» more  GECCO 2009»
14 years 5 months ago
Fixed-parameter evolutionary algorithms and the vertex cover problem
In this paper, we consider multi-objective evolutionary algorithms for the Vertex Cover problem in the context of parameterized complexity. We relate the runtime of our algorithms...
Stefan Kratsch, Frank Neumann
AAIM
2007
Springer
141views Algorithms» more  AAIM 2007»
14 years 5 months ago
An Almost Linear Time 2.8334-Approximation Algorithm for the Disc Covering Problem
The disc covering problem asks to cover a set of points on the plane with a minimum number of fix-sized discs. We develop an O(n(log n)2 (log log n)2 ) deterministic time 2.8334-a...
Bin Fu, Zhixiang Chen, Mahdi Abdelguerfi
COR
2000
129views more  COR 2000»
13 years 10 months ago
Heuristics for the multi-vehicle covering tour problem
The multi-vehicle covering tour problem is de"ned on a graph G"(<6=, E), where = is a set of vertices that must collectively be covered by up to m vehicles. The probl...
Mondher Hachicha, M. John Hodgson, Gilbert Laporte...
STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 11 months ago
The importance of being biased
The Minimum Vertex Cover problem is the problem of, given a graph, finding a smallest set of vertices that touches all edges. We show that it is NP-hard to approximate this proble...
Irit Dinur, Shmuel Safra