Approximation Algorithms for Demand Strip Packing
Abstract
In the Demand Strip Packing problem (DSP), we are given a time interval and a collection of tasks, each characterized by a processing time and a demand for a given resource (such as electricity, computational power, etc.). A feasible solution consists of a schedule of the tasks within the mentioned time interval. Our goal is to minimize the peak resource consumption, i.e. the maximum total demand of tasks executed at any point in time. It is known that DSP is NP-hard to approximate below a factor 3/2, and standard techniques for related problems imply a (polynomial-time) 2-approximation. Our main result is a (5/3+eps)-approximation algorithm for any constant eps>0. We also achieve best-possible approximation factors for some relevant special cases.
Cite
@article{arxiv.2105.08577,
title = {Approximation Algorithms for Demand Strip Packing},
author = {Waldo Gálvez and Fabrizio Grandoni and Afrouz Jabal Ameli and Kamyar Khodamoradi},
journal= {arXiv preprint arXiv:2105.08577},
year = {2021}
}
Comments
Submitted to The 24th International Conference on Approximation Algorithms for Combinatorial Optimization Problems (APPROX 2021)