Issue |
RAIRO-Oper. Res.
Volume 54, Number 2, March-April 2020
ROADEF 2017
|
|
---|---|---|
Page(s) | 555 - 568 | |
DOI | https://doi.org/10.1051/ro/2019116 | |
Published online | 03 March 2020 |
Scheduling job shop problems with operators with respect to the maximum lateness
1
Département d’Informatique et Mathématique Université du Québec à Chicoutimi, Saguenay, QC G7H 2B1, Canada
2
Département de Mathématiques et Génie Industriel École polytechnique de Montréal, Montréal, QC H3T 1J4, Canada
* Corresponding author: imene.benkalai1@uqac.ca
Received:
31
May
2017
Accepted:
13
December
2019
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 𝒩𝒫-hard when the number of operators is arbitrary and exhibit polynomial time algorithms for the cases involving one and two operators, respectively.
Mathematics Subject Classification: 90B35
Key words: Scheduling / job shop / operators / maximum lateness
© EDP Sciences, ROADEF, SMAI 2020
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