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APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
14 years 2 months ago
Approximation Schemes for Node-Weighted Geometric Steiner Tree Problems
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
Jan Remy, Angelika Steger
TRANSCI
2008
80views more  TRANSCI 2008»
13 years 8 months ago
An Efficient Method to Compute Traffic Assignment Problems with Elastic Demands
The traffic assignment problem with elastic demands can be formulated as an optimization problem, whose objective is sum of a congestion function and a disutility function. We pro...
Frédéric Babonneau, Jean-Philippe Vi...
AAIM
2007
Springer
141views Algorithms» more  AAIM 2007»
14 years 3 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
CCCG
2003
13 years 10 months ago
Curves of width one and the river shore problem
We consider the problem of finding the shortest curve in the plane that has unit width. This problem was first posed as the “river shore” puzzle by Ogilvy (1972) and is rela...
Timothy M. Chan, Alexander Golynski, Alejandro L&o...
EOR
2008
79views more  EOR 2008»
13 years 8 months ago
Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem
The 0-1 Multidimensional Knapsack Problem (0-1 MKP) is a wellknown (and strongly NP-hard) combinatorial optimization problem with many applications. Up to now, the majority of upp...
Konstantinos Kaparis, Adam N. Letchford