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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Bibliographic Details
Published in:Mathematical problems in engineering Vol. 2019; no. 2019; pp. 1 - 16
Main Authors: Alotaibi, Yousef A., Al-Harkan, Ibrahim M., Qamhan, Ammar A., Qamhan, Mustafa A.
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 2019
Hindawi
John Wiley & Sons, Inc
Subjects:
Completion time
Engineering
Evolutionary algorithms
Factorial analysis
Heuristic methods
Integer programming
Job shops
Production scheduling
Scheduling
Sequential scheduling
Setup times
Time dependence
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary: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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ISSN:1024-123X
1563-5147
DOI:10.1155/2019/8028759