A multi-objective linear programming model for scheduling part families and designing a group layout in cellular manufacturing systems
Different industries compete to attract customers in different ways. In the field of production, group technology (GT) is defined by identifying and grouping similar parts based on their similarities in design and production. Cellular manufacturing (CM) is an application of GT to reconfigure the fac...
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| Veröffentlicht in: | Computers & operations research Jg. 151; S. 106090 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier Ltd
01.03.2023
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| ISSN: | 0305-0548, 1873-765X |
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| Abstract | Different industries compete to attract customers in different ways. In the field of production, group technology (GT) is defined by identifying and grouping similar parts based on their similarities in design and production. Cellular manufacturing (CM) is an application of GT to reconfigure the factory and job shop design. A manufacturing cell is a group of independent machines with different functions put together to produce a family of parts. Designing a cellular manufacturing system involves three major decisions: cell formation (CF), group layout (GL), and group scheduling (GS). Although these decisions are interrelated and can affect each other, they have been considered separately or sequentially in previous research. In this paper, CF, GL, and GS decisions are considered simultaneously. Accordingly, a multi-objective linear programming (MOLP) model is proposed to optimize weighted completion time, transportation cost, and machine idle time for a multi-product system. Finally, the model will be solved using the ϵ-constraint method, representing different scales solutions for decision-making. The proposed model is NP-hard. Therefore, a nondominated sorting genetic algorithm II (NSGA-II) is presented to solve it since GAMS software is unable to find optimal solutions for large-scale problems. Besides, to evaluate the performance of NSGA-II, the problem is solved by three metaheuristic algorithms.
•Deciding the cell formation, group scheduling, and group layout for designing a cellular manufacturing system.•The model optimizes the completion time, machine efficiency, and transportation costs.•Considering a multi-machine system.•Solving the model by ϵ- constraint and NSGA-II algorithm.•Comparing the efficiency of NSGA-II with three other metaheuristic algorithms. |
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| AbstractList | Different industries compete to attract customers in different ways. In the field of production, group technology (GT) is defined by identifying and grouping similar parts based on their similarities in design and production. Cellular manufacturing (CM) is an application of GT to reconfigure the factory and job shop design. A manufacturing cell is a group of independent machines with different functions put together to produce a family of parts. Designing a cellular manufacturing system involves three major decisions: cell formation (CF), group layout (GL), and group scheduling (GS). Although these decisions are interrelated and can affect each other, they have been considered separately or sequentially in previous research. In this paper, CF, GL, and GS decisions are considered simultaneously. Accordingly, a multi-objective linear programming (MOLP) model is proposed to optimize weighted completion time, transportation cost, and machine idle time for a multi-product system. Finally, the model will be solved using the ϵ-constraint method, representing different scales solutions for decision-making. The proposed model is NP-hard. Therefore, a nondominated sorting genetic algorithm II (NSGA-II) is presented to solve it since GAMS software is unable to find optimal solutions for large-scale problems. Besides, to evaluate the performance of NSGA-II, the problem is solved by three metaheuristic algorithms.
•Deciding the cell formation, group scheduling, and group layout for designing a cellular manufacturing system.•The model optimizes the completion time, machine efficiency, and transportation costs.•Considering a multi-machine system.•Solving the model by ϵ- constraint and NSGA-II algorithm.•Comparing the efficiency of NSGA-II with three other metaheuristic algorithms. |
| ArticleNumber | 106090 |
| Author | Zareh Andaryan, Abdullah Chipulu, Maxwell Alavifar, Zeinolabedin Saberi, Morteza Motahari, Rasool |
| Author_xml | – sequence: 1 givenname: Rasool orcidid: 0000-0001-9312-3728 surname: Motahari fullname: Motahari, Rasool email: rasool.motahari@gmail.com organization: School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran – sequence: 2 givenname: Zeinolabedin surname: Alavifar fullname: Alavifar, Zeinolabedin organization: School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran – sequence: 3 givenname: Abdullah surname: Zareh Andaryan fullname: Zareh Andaryan, Abdullah organization: School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran – sequence: 4 givenname: Maxwell orcidid: 0000-0002-0139-6188 surname: Chipulu fullname: Chipulu, Maxwell organization: Business School, Edinburgh Napier University, Scotland, United Kingdom – sequence: 5 givenname: Morteza surname: Saberi fullname: Saberi, Morteza organization: School of Computer Science, University of Technology Sydney, Sydney, Australia |
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| Keywords | Cell formation Cellular manufacturing system Group technology Group layout Group scheduling Multi-objective linear programming |
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| Title | A multi-objective linear programming model for scheduling part families and designing a group layout in cellular manufacturing systems |
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