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SIAMCO
2002
71views more  SIAMCO 2002»
15 years 4 months ago
Rate of Convergence for Constrained Stochastic Approximation Algorithms
There is a large literature on the rate of convergence problem for general unconstrained stochastic approximations. Typically, one centers the iterate n about the limit point then...
Robert Buche, Harold J. Kushner
144
Voted
IPL
2008
135views more  IPL 2008»
15 years 5 months ago
On the Positive-Negative Partial Set Cover problem
The Positive-Negative Partial Set Cover problem is introduced and its complexity, especially the hardness-of-approximation, is studied. The problem generalizes the Set Cover probl...
Pauli Miettinen
126
Voted
MOC
2000
86views more  MOC 2000»
15 years 4 months ago
Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. Despite their probabi...
G. N. Milstein, M. V. Tretyakov
EVOW
2006
Springer
15 years 8 months ago
The Core Concept for the Multidimensional Knapsack Problem
Abstract. We present the newly developed core concept for the Multidimensional Knapsack Problem (MKP) which is an extension of the classical concept for the one-dimensional case. T...
Jakob Puchinger, Günther R. Raidl, Ulrich Pfe...
ESA
2009
Springer
109views Algorithms» more  ESA 2009»
15 years 11 months ago
Iterative Rounding for Multi-Objective Optimization Problems
In this paper we show that iterative rounding is a powerful and flexible tool in the design of approximation algorithms for multiobjective optimization problems. We illustrate tha...
Fabrizio Grandoni, R. Ravi, Mohit Singh