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FOCS
2004
IEEE
14 years 9 days ago
Approximating the Stochastic Knapsack Problem: The Benefit of Adaptivity
We consider a stochastic variant of the NP-hard 0/1 knapsack problem in which item values are deterministic and item sizes are independent random variables with known, arbitrary d...
Brian C. Dean, Michel X. Goemans, Jan Vondrá...
CSR
2007
Springer
14 years 2 months ago
Ruling Out Polynomial-Time Approximation Schemes for Hard Constraint Satisfaction Problems
The maximum constraint satisfaction problem (Max CSP) is the following computational problem: an instance is a finite collection of constraints on a set of variables, and the goal...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen
FOCS
2004
IEEE
14 years 9 days ago
The Hardness of Metric Labeling
The Metric Labeling problem is an elegant and powerful mathematical model capturing a wide range of classification problems. The input to the problem consists of a set of labels a...
Julia Chuzhoy, Joseph Naor
ESA
2010
Springer
140views Algorithms» more  ESA 2010»
13 years 8 months ago
A Robust PTAS for Machine Covering and Packing
Abstract. Minimizing the makespan or maximizing the minimum machine load are two of the most important and fundamental parallel machine scheduling problems. In an online scenario, ...
Martin Skutella, José Verschae
CORR
2006
Springer
123views Education» more  CORR 2006»
13 years 8 months ago
Counting good truth assignments of random k-SAT formulae
We present a deterministic approximation algorithm to compute logarithm of the number of `good' truth assignments for a random k-satisfiability (k-SAT) formula in polynomial ...
Andrea Montanari, Devavrat Shah