The research of some single-machine scheduling problems
Authors
Zhigao Liao, Xiaojing Zhao
Corresponding Author
Zhigao Liao
Available Online October 2013.
- DOI
- 10.2991/iaw-sc.2013.193How to use a DOI?
- Keywords
- Scheduling; position-dependent learning effect model; time-dependent learning effect mode
- Abstract
In this paper, we develop a new scheduling model with learning effects where the actual processing time of a job is not only a function of the total normal processing times of the jobs already processed, but also a function of the job’s scheduled position. We show that the single-machine scheduling problems to minimize make span and total complete time are still polynomially solvable under the proposed model. We further show that the single-machine scheduling problems minimizing the weighted sum of completion times and minimizing the maximum lateness are also polynomially solvable under certain conditions.
- Copyright
- © 2013, 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 - Zhigao Liao AU - Xiaojing Zhao PY - 2013/10 DA - 2013/10 TI - The research of some single-machine scheduling problems BT - Proceedings of the 2013 International Academic Workshop on Social Science PB - Atlantis Press SP - 852 EP - 855 SN - 1951-6851 UR - https://doi.org/10.2991/iaw-sc.2013.193 DO - 10.2991/iaw-sc.2013.193 ID - Liao2013/10 ER -