Approximation Algorithms for Covering and Packing Problems on Paths
Data Structures and Algorithms
2015-02-20 v1 Discrete Mathematics
Combinatorics
Abstract
Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances, which are fast and yet come close to the optimal value. In this thesis, we study the design and analysis of approximation algorithms for such problems. We focus on two important class of problems. The first is the Unsplittable Flow Problem and some of its variants and the second is the Resource Allocation for Job Scheduling Problem and some of its variants. The first is a packing problem, whereas the second is a covering problem.
Cite
@article{arxiv.1402.1107,
title = {Approximation Algorithms for Covering and Packing Problems on Paths},
author = {Arindam Pal},
journal= {arXiv preprint arXiv:1402.1107},
year = {2015}
}
Comments
Ph.D. thesis of Arindam Pal. 100 pages