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DAM
2006
78views more  DAM 2006»
13 years 7 months ago
Hybrid rounding techniques for knapsack problems
We address the classical knapsack problem and a variant in which an upper bound is imposed on the number of items that can be selected. We show that appropriate combinations of ro...
Monaldo Mastrolilli, Marcus Hutter
COCOON
2006
Springer
13 years 11 months ago
Approximating Min-Max (Regret) Versions of Some Polynomial Problems
Abstract. While the complexity of min-max and min-max regret versions of most classical combinatorial optimization problems has been thoroughly investigated, there are very few stu...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
EOR
2002
79views more  EOR 2002»
13 years 7 months ago
Fast fully polynomial approximation schemes for minimizing completion time variance
Abstract. We present fully polynomial approximation schemes for the problem of minimizing completion time variance of a set of n jobs on a single machine. The fastest of these sche...
Wieslaw Kubiak, Jinliang Cheng, Mikhail Y. Kovalyo...
FOCS
2008
IEEE
14 years 1 months ago
A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest
We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed ǫ > 0 and given n terminals in the plane ...
Glencora Borradaile, Philip N. Klein, Claire Mathi...
SODA
2008
ACM
138views Algorithms» more  SODA 2008»
13 years 9 months ago
Fully polynomial time approximation schemes for stochastic dynamic programs
We develop a framework for obtaining Fully Polynomial Time Approximation Schemes (FPTASs) for stochastic univariate dynamic programs with either convex or monotone single-period c...
Nir Halman, Diego Klabjan, Chung-Lun Li, James B. ...