A Direct Proof of the 4/3 Bound of LPT Scheduling Rule
Authors
Xin Xiao
Corresponding Author
Xin Xiao
Available Online April 2017.
- DOI
- 10.2991/fmsmt-17.2017.102How to use a DOI?
- Keywords
- Scheduling, Parallel Machines, Longest Processing Time First, Worst-case Analysis.
- Abstract
The problem of scheduling independent jobs on identical parallel machines for minimizing makespan has been intensely studied in the literature. One of the most popular constructive algorithms for this problem is the LPT (Longest Processing Time First) rule whose approximation ratio has been proved by contradiction. A direct proof of its approximation ratio is presented, which can be regarded as an acquisition of knowledge by deductive means.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xin Xiao PY - 2017/04 DA - 2017/04 TI - A Direct Proof of the 4/3 Bound of LPT Scheduling Rule BT - Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017) PB - Atlantis Press SP - 486 EP - 489 SN - 2352-5401 UR - https://doi.org/10.2991/fmsmt-17.2017.102 DO - 10.2991/fmsmt-17.2017.102 ID - Xiao2017/04 ER -