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Online Covering with Sum of Lq-norm Objectives Nagarajan, Viswanath

Description

We consider fractional covering problems with Lq-norm objectives, where the covering requirements arrive online. This can be viewed as a convex programming problem, and we provide a log-competitive algorithm based on a primal-dual approach. This result expands the class of convex programs with good online algorithms. As applications, we obtain online algorithms for non-uniform buy-at-bulk network design and throughput maximization under Lq-norm capacities.

Item Metadata

Title
Online Covering with Sum of Lq-norm Objectives
Creator
Nagarajan, Viswanath
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2017-11-16T10:31
Description
We consider fractional covering problems with Lq-norm objectives, where the covering requirements arrive online. This can be viewed as a convex programming problem, and we provide a log-competitive algorithm based on a primal-dual approach. This result expands the class of convex programs with good online algorithms. As applications, we obtain online algorithms for non-uniform buy-at-bulk network design and throughput maximization under Lq-norm capacities.
Extent
30 minutes
Subject
Mathematics; Computer science; Operations research, mathematical programming; Theoretical computer science
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: University of Michigan
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2018-05-15
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0366861
URI
http://hdl.handle.net/2429/65913
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International