Mathematical Modeling and Discrete Firefly Algorithm to Optimize Scheduling Problem with Release Date, Sequence-Dependent Setup Time, and Periodic Maintenance
An evolutionary discrete firefly algorithm (EDFA) is presented herein to solve a real-world manufacturing system problem of scheduling a set of jobs on a single machine subject to nonzero release date, sequence-dependent setup time, and periodic maintenance with the objective of minimizing the maxim...
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| Published in | Mathematical problems in engineering Vol. 2019; no. 2019; pp. 1 - 16 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo, Egypt
Hindawi Publishing Corporation
2019
Hindawi John Wiley & Sons, Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1024-123X 1026-7077 1563-5147 1563-5147 |
| DOI | 10.1155/2019/8028759 |
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| Abstract | An evolutionary discrete firefly algorithm (EDFA) is presented herein to solve a real-world manufacturing system problem of scheduling a set of jobs on a single machine subject to nonzero release date, sequence-dependent setup time, and periodic maintenance with the objective of minimizing the maximum completion time “makespan.” To evaluate the performance of the proposed EDFA, a new mixed-integer linear programming model is also proposed for small-sized instances. Furthermore, the parameters of the EDFA are regulated using full factorial analysis. Finally, numerical experiments are performed to demonstrate the efficiency and capability of the EDFA in solving the abovementioned problem. |
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| AbstractList | An evolutionary discrete firefly algorithm (EDFA) is presented herein to solve a real‐world manufacturing system problem of scheduling a set of jobs on a single machine subject to nonzero release date, sequence‐dependent setup time, and periodic maintenance with the objective of minimizing the maximum completion time “makespan.” To evaluate the performance of the proposed EDFA, a new mixed‐integer linear programming model is also proposed for small‐sized instances. Furthermore, the parameters of the EDFA are regulated using full factorial analysis. Finally, numerical experiments are performed to demonstrate the efficiency and capability of the EDFA in solving the abovementioned problem. |
| Author | Alotaibi, Yousef A. Al-Harkan, Ibrahim M. Qamhan, Ammar A. Qamhan, Mustafa A. |
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| Cites_doi | 10.1007/978-3-642-23857-4_38 10.1007/s10732-017-9325-1 10.1007/s10845-009-0253-2 10.1016/j.cie.2014.08.001 10.1016/j.camwa.2010.12.028 10.1007/s10951-012-0280-2 10.1007/s00500-016-2114-1 10.1007/s10951-013-0351-z 10.1016/j.asoc.2012.05.017 10.1007/978-1-4614-2361-4 10.1016/j.asoc.2014.12.030 10.1016/j.jmsy.2013.01.002 10.1016/j.apm.2009.04.014 10.1002/1520-6750(198804)35:2<177::AID-NAV3220350203>3.0.CO;2-V 10.1155/2015/732437 10.1016/j.cor.2014.04.009 10.1016/j.apm.2010.11.017 10.1016/j.swevo.2013.06.001 10.1016/S0305-0483(98)00042-5 10.1007/978-3-319-30235-5_2 10.1016/j.cor.2016.11.008 10.1016/j.jmsy.2012.07.010 10.1016/j.cor.2008.06.007 10.1109/TEVC.2013.2240304 10.1061/(ASCE)CP.1943-5487.0000639 10.1016/j.cor.2011.08.022 10.1016/j.cor.2016.04.009 10.1016/j.ejor.2015.04.004 10.1016/j.jcde.2016.08.001 10.1016/j.ejor.2006.06.060 10.1016/j.omega.2008.01.001 10.1504/IJSI.2013.055801 10.1016/j.knosys.2017.12.021 10.1016/j.cor.2005.07.020 10.1016/j.eswa.2018.12.034 10.1016/j.ejor.2007.10.044 10.1016/j.eswa.2008.08.033 10.1108/13552510610685075 |
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| Copyright | Copyright © 2019 Mustafa A. Qamhan et al. Copyright © 2019 Mustafa A. Qamhan et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| SubjectTerms | Completion time Engineering Evolutionary algorithms Factorial analysis Heuristic methods Integer programming Job shops Production scheduling Scheduling Sequential scheduling Setup times Time dependence |
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| Title | Mathematical Modeling and Discrete Firefly Algorithm to Optimize Scheduling Problem with Release Date, Sequence-Dependent Setup Time, and Periodic Maintenance |
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