Title
Improved Bounds in Stochastic Matching and Optimization.
Abstract
Real-world problems often have parameters that are uncertain during the optimization phase; stochastic optimization or stochastic programming is a key approach introduced by Beale and by Dantzig in the 1950s to address such uncertainty. Matching is a classical problem in combinatorial optimization. Modern stochastic versions of this problem model problems in kidney exchange, for instance. We improve upon the current-best approximation bound of 3.709 for stochastic matching due to Adamczyk et al. (in: Algorithms-ESA 2015, Springer, Berlin, 2015) to 3.224; we also present improvements on Bansal et al. (Algorithmica 63(4):733–762, 2012) for hypergraph matching and for relaxed versions of the problem. These results are obtained by improved analyses and/or algorithms for rounding linear-programming relaxations of these problems.
Year
DOI
Venue
2018
10.1007/s00453-017-0383-4
Algorithmica
Keywords
DocType
Volume
Stochastic optimization,Linear programming,Approximation algorithms,Randomized algorithms
Journal
80
Issue
ISSN
Citations 
11
0178-4617
4
PageRank 
References 
Authors
0.40
16
5
Name
Order
Citations
PageRank
Alok Baveja112011.99
Amit Chavan2424.13
Andrei Nikiforov340.73
Aravind Srinivasan43531291.42
Pan Xu5499.32