Scheduling with position-dependent weights, due-date assignment and past-sequence-dependent setup times
RAIRO. Operations Research, Tome 55 (2021), pp. S2747-S2758

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.

DOI : 10.1051/ro/2020117
Classification : 90B35
Keywords: Scheduling, single-machine, past-sequence-dependent setup times, position-dependent weights
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     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/}
}
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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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