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» The Guarding Problem - Complexity and Approximation
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MOR
2000
90views more  MOR 2000»
13 years 8 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger
CCCG
2010
13 years 10 months ago
Cluster connecting problem inside a polygon
The cluster connecting problem inside a simple polygon is introduced in this paper. The problem is shown to be NP-complete. A log n-factor approximation algorithm is proposed.
Sanjib Sadhu, Arijit Bishnu, Subhas C. Nandy, Part...
ORL
2006
114views more  ORL 2006»
13 years 9 months ago
A (1-1/e)-approximation algorithm for the generalized assignment problem
We give a (1 - 1/e)-approximation algorithm for the Max-Profit Generalized Assignment Problem (Max-GAP) with fixed profits when the profit (but not necessarily the size) of every ...
Zeev Nutov, Israel Beniaminy, Raphael Yuster
COCO
2006
Springer
89views Algorithms» more  COCO 2006»
14 years 21 days ago
Hardness of the Covering Radius Problem on Lattices
We provide the first hardness result for the Covering Radius Problem on lattices (CRP). Namely, we show that for any large enough p there exists a constant cp > 1 such that C...
Ishay Haviv, Oded Regev
DAM
2007
91views more  DAM 2007»
13 years 9 months ago
A note on the precedence-constrained class sequencing problem
We give a short proof of a result of Tovey [6] on the inapproximability of a scheduling problem known as precedence constrained class sequencing. In addition, we present an approxi...
José R. Correa, Samuel Fiorini, Nicol&aacut...