English

A 2.542-Approximation for Precedence Constrained Single Machine Scheduling with Release Dates and Total Weighted Completion Time Objective

Discrete Mathematics 2016-04-25 v2 Optimization and Control

Abstract

We present a e/(e1)\sqrt{e}/(\sqrt{e}-1)-approximation algorithm for the nonpreemptive scheduling problem to minimize the total weighted completion time of jobs on a single machine subject to release dates and precedence constraints. The previously best known approximation algorithm dates back to 1997; its performance guarantee can be made arbitrarily close to the Euler constant ee.

Keywords

Cite

@article{arxiv.1603.04690,
  title  = {A 2.542-Approximation for Precedence Constrained Single Machine Scheduling with Release Dates and Total Weighted Completion Time Objective},
  author = {Martin Skutella},
  journal= {arXiv preprint arXiv:1603.04690},
  year   = {2016}
}
R2 v1 2026-06-22T13:11:22.730Z