In this study, we consider single-machine scheduling problems with past-sequence-dependent (denoted by psd) setup times in which the setup times of jobs are proportional to the length of already processed jobs. Under common (CON) and slack (SLK) due-date assignment methods, we prove that the weighted sum of earliness, tardiness and due-date minimization remains polynomially solvable. We also give some extensions for the scheduling problems with psd setup times.
Keywords: Scheduling, single-machine, past-sequence-dependent setup times, position-dependent weights
@article{RO_2021__55_S1_S2747_0,
author = {Wang, Li-Yan and Huang, Xue and Liu, Wei-Wei and Wu, Yu-Bin and Wang, Ji-Bo},
title = {Scheduling with position-dependent weights, due-date assignment and past-sequence-dependent setup times},
journal = {RAIRO. Operations Research},
pages = {S2747--S2758},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2020117},
mrnumber = {4223180},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2020117/}
}
TY - JOUR AU - Wang, Li-Yan AU - Huang, Xue AU - Liu, Wei-Wei AU - Wu, Yu-Bin AU - Wang, Ji-Bo TI - Scheduling with position-dependent weights, due-date assignment and past-sequence-dependent setup times JO - RAIRO. Operations Research PY - 2021 SP - S2747 EP - S2758 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2020117/ DO - 10.1051/ro/2020117 LA - en ID - RO_2021__55_S1_S2747_0 ER -
%0 Journal Article %A Wang, Li-Yan %A Huang, Xue %A Liu, Wei-Wei %A Wu, Yu-Bin %A Wang, Ji-Bo %T Scheduling with position-dependent weights, due-date assignment and past-sequence-dependent setup times %J RAIRO. Operations Research %D 2021 %P S2747-S2758 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2020117/ %R 10.1051/ro/2020117 %G en %F RO_2021__55_S1_S2747_0
Wang, Li-Yan; Huang, Xue; Liu, Wei-Wei; Wu, Yu-Bin; Wang, Ji-Bo. Scheduling with position-dependent weights, due-date assignment and past-sequence-dependent setup times. RAIRO. Operations Research, Tome 55 (2021), pp. S2747-S2758. doi: 10.1051/ro/2020117
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