The triangle scheduling problem
Data Structures and Algorithms
2016-05-03 v3
Abstract
This paper introduces a novel scheduling problem, where jobs occupy a triangular shape on the time line. This problem is motivated by scheduling jobs with different criticality levels. A measure is introduced, namely the binary tree ratio. It is shown that the greedy algorithm solves the problem to optimality when the binary tree ratio of the input instance is at most 2. We also show that the problem is unary NP-hard for instances with binary tree ratio strictly larger than 2, and provide a quasi polynomial time approximation scheme (QPTAS). The approximation ratio of Greedy on general instances is shown to be between 1.5 and 1.05.
Keywords
Cite
@article{arxiv.1602.04365,
title = {The triangle scheduling problem},
author = {Christoph Dürr and Zdeněk Hanzálek and Christian Konrad and Yasmina Seddik and René Sitters and Óscar C. Vásquez and Gerhard Woeginger},
journal= {arXiv preprint arXiv:1602.04365},
year = {2016}
}