Title
Sub-optimality Approximations
Abstract
The sub-optimality approximation problem considers an op- timization problemO, its optimal solution ��, and a variable x with do- main{d1,...,dm} and returns approximations toO(x d1),...,O(x dm), whereO(x d1) denotes the problemO with x assigned to di. The sub-optimality approximation problem is at the core of online stochastic optimization algorithms and it can also be used for solution repair and approximate filtering of optimization constraints. This paper formalizes the problem and presents sub-optimality approximation algorithms for metric TSPs, packet scheduling, and metric k-medians that run faster than the optimal or approximation algorithms. It also presents results on the hardness/easiness of sub-optimality approximations.
Year
DOI
Venue
2005
10.1007/11564751_12
CP
Keywords
Field
DocType
stochastic optimization
Approximation algorithm,Discrete mathematics,Randomized algorithm,Mathematical optimization,Stochastic optimization,Filter (signal processing),Travelling salesman problem,Stochastic programming,Optimization problem,Mathematics,Constrained optimization
Conference
Citations 
PageRank 
References 
4
0.50
16
Authors
3
Name
Order
Citations
PageRank
Russell Bent133526.14
Irit Katriel217613.72
Pascal Van Hentenryck34052425.66