This paper deals with the problem of assigning operators to jobs, within a free assignment-changing mode, in a job-shop environment subject to a fixed processing sequence of the jobs. We seek an assignment of operators that minimizes the maximum lateness. Within this model, a job needs an operator during the entire duration of its processing. We show that the problem is -hard when the number of operators is arbitrary and exhibit polynomial time algorithms for the cases involving one and two operators, respectively.
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DOI : 10.1051/ro/2019116
Mots-clés : Scheduling, job shop, operators, maximum lateness
@article{RO_2020__54_2_555_0,
author = {Benkalai, Im\`ene and Rebaine, Djamal and Baptiste, Pierre},
title = {Scheduling job shop problems with operators with respect to the maximum lateness},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {555--568},
publisher = {EDP-Sciences},
volume = {54},
number = {2},
year = {2020},
doi = {10.1051/ro/2019116},
mrnumber = {4071320},
zbl = {1437.90072},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2019116/}
}
TY - JOUR AU - Benkalai, Imène AU - Rebaine, Djamal AU - Baptiste, Pierre TI - Scheduling job shop problems with operators with respect to the maximum lateness JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 555 EP - 568 VL - 54 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019116/ DO - 10.1051/ro/2019116 LA - en ID - RO_2020__54_2_555_0 ER -
%0 Journal Article %A Benkalai, Imène %A Rebaine, Djamal %A Baptiste, Pierre %T Scheduling job shop problems with operators with respect to the maximum lateness %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 555-568 %V 54 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019116/ %R 10.1051/ro/2019116 %G en %F RO_2020__54_2_555_0
Benkalai, Imène; Rebaine, Djamal; Baptiste, Pierre. Scheduling job shop problems with operators with respect to the maximum lateness. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 2, pp. 555-568. doi : 10.1051/ro/2019116. http://www.numdam.org/articles/10.1051/ro/2019116/
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