A new approximation technique for resource‐allocation problems

Publication Date: January 30, 2018

Barna Saha, Aravind Srinivasan. “A new approximation technique for resource‐allocation problems“. Random Structure & Algorithms


Abstract: We develop a rounding method based on random walks in polytopes, which leads to improved approximation algorithms and integrality gaps for several assignment problems that arise in resource allocation and scheduling. In particular, it generalizes the work of Shmoys and Tardos on the generalized assignment problem to the setting where some jobs can be dropped. New concentration bounds for random bipartite matching are developed as well.