PMID- 37076558 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20230420 LR - 20230422 IS - 2045-2322 (Electronic) IS - 2045-2322 (Linking) VI - 13 IP - 1 DP - 2023 Apr 19 TI - Minimizing the makespan and carbon emissions in the green flexible job shop scheduling problem with learning effects. PG - 6369 LID - 10.1038/s41598-023-33615-z [doi] LID - 6369 AB - One of the most difficult challenges for modern manufacturing is reducing carbon emissions. This paper focuses on the green scheduling problem in a flexible job shop system, taking into account energy consumption and worker learning effects. With the objective of simultaneously minimizing the makespan and total carbon emissions, the green flexible job shop scheduling problem (GFJSP) is formulated as a mixed integer linear multiobjective optimization model. Then, the improved multiobjective sparrow search algorithm (IMOSSA) is developed to find the optimal solution. Finally, we conduct computational experiments, including a comparison between IMOSSA and the nondominated sorting genetic algorithm II (NSGA-II), Jaya and the mixed integer linear programming (MILP) solver of CPLEX. The results demonstrate that IMOSSA has high precision, good convergence and excellent performance in solving the GFJSP in low-carbon manufacturing systems. CI - (c) 2023. The Author(s). FAU - Li, Zhi AU - Li Z AUID- ORCID: 0000-0002-4869-6778 AD - School of Economics and Management, Tiangong University, Tianjin, 300387, China. lizhi@tiangong.edu.cn. FAU - Chen, Yingjian AU - Chen Y AUID- ORCID: 0000-0001-7502-4128 AD - School of Economics and Management, Tiangong University, Tianjin, 300387, China. LA - eng GR - 72002153/National Nature Science Foundation of China NSFC/ GR - 41971249/National Nature Science Foundation of China NSFC/ PT - Journal Article DEP - 20230419 PL - England TA - Sci Rep JT - Scientific reports JID - 101563288 SB - IM PMC - PMC10115896 COIS- The authors declare no competing interests. EDAT- 2023/04/20 00:41 MHDA- 2023/04/20 00:42 PMCR- 2023/04/19 CRDT- 2023/04/19 23:19 PHST- 2022/09/29 00:00 [received] PHST- 2023/04/15 00:00 [accepted] PHST- 2023/04/20 00:42 [medline] PHST- 2023/04/20 00:41 [pubmed] PHST- 2023/04/19 23:19 [entrez] PHST- 2023/04/19 00:00 [pmc-release] AID - 10.1038/s41598-023-33615-z [pii] AID - 33615 [pii] AID - 10.1038/s41598-023-33615-z [doi] PST - epublish SO - Sci Rep. 2023 Apr 19;13(1):6369. doi: 10.1038/s41598-023-33615-z.