Improved Bicriteria Existence Theorems for Scheduling
数据结构与算法
2015-06-02 v1 计算复杂性
摘要
Two common objectives for evaluating a schedule are the makespan, or schedule length, and the average completion time. This short note gives improved bounds on the existence of schedules that simultaneously optimize both criteria. In particular, for any rho> 0, there exists a schedule of makespan at most 1+rho times the minimum, with average completion time at most (1-e)^rho times the minimum. The proof uses an infininite-dimensional linear program to generalize and strengthen a previous analysis by Cliff Stein and Joel Wein (1997).
关键词
引用
@article{arxiv.cs/0205008,
title = {Improved Bicriteria Existence Theorems for Scheduling},
author = {Javed Aslam and April Rasala and Cliff Stein and Neal Young},
journal= {arXiv preprint arXiv:cs/0205008},
year = {2015}
}