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» Approximation Algorithms for Clustering Problems
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191
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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
16 years 4 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
141
Voted
ISAAC
2001
Springer
112views Algorithms» more  ISAAC 2001»
15 years 11 months ago
On the Complexity of Train Assignment Problems
We consider a problem faced by train companies: How can trains be assigned to satisfy scheduled routes in a cost efficient way? Currently, many railway companies create solutions b...
Thomas Erlebach, Martin Gantenbein, Daniel Hü...
ESA
2007
Springer
122views Algorithms» more  ESA 2007»
15 years 10 months ago
A Practical Efficient Fptas for the 0-1 Multi-objective Knapsack Problem
Abstract. In the present work, we are interested in the practical behavior of a new fptas to solve the approximation version of the 0-1 multiobjective knapsack problem. Nevertheles...
Cristina Bazgan, Hadrien Hugot, Daniel Vanderpoote...
ANTSW
2010
Springer
15 years 4 months ago
Theoretical Properties of Two ACO Approaches for the Traveling Salesman Problem
Ant colony optimization (ACO) has been widely used for different combinatorial optimization problems. In this paper, we investigate ACO algorithms with respect to their runtime beh...
Timo Kötzing, Frank Neumann, Heiko Rögli...
DAM
2007
177views more  DAM 2007»
15 years 6 months ago
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
Given A := {a1, . . . , am} ⊂ Rd whose affine hull is Rd, we study the problems of computing an approximate rounding of the convex hull of A and an approximation to the minimum ...
Michael J. Todd, E. Alper Yildirim