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MP
1998
109views more  MP 1998»
13 years 4 months ago
Rounding algorithms for covering problems
In the last 25 years approximation algorithms for discrete optimization problems have been in the center of research in the fields of mathematical programming and computer science...
Dimitris Bertsimas, Rakesh V. Vohra
SIAMCOMP
1998
125views more  SIAMCOMP 1998»
13 years 4 months ago
Free Bits, PCPs, and Nonapproximability-Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs (PCPs) and the approximability of NP-optimization problems. The emphasis is on p...
Mihir Bellare, Oded Goldreich, Madhu Sudan
ANOR
2005
94views more  ANOR 2005»
13 years 4 months ago
Cover and Pack Inequalities for (Mixed) Integer Programming
We review strong inequalities for fundamental knapsack relaxations of (mixed) integer programs. These relaxations are the 0-1 knapsack set, the mixed 0-1 knapsack set, the integer ...
Alper Atamtürk
TCS
2010
13 years 3 months ago
Non-cooperative facility location and covering games
Abstract. We study a general class of non-cooperative games coming from combinatorial covering and facility location problems. A game for k players is based on an integer programmi...
Jean Cardinal, Martin Hoefer
WEA
2005
Springer
100views Algorithms» more  WEA 2005»
13 years 10 months ago
Rounding to an Integral Program
We present a general framework for approximating several NP-hard problems that have two underlying properties in common. First, the problems we consider can be formulated as intege...
Refael Hassin, Danny Segev