A mathematical programming model for cell formation problem with machine replication
Cell formation (CF) is a crucial aspect in the design of cellular manufacturing (CM) systems. This paper develops a comprehensive mathematical programming model for the cell formation problem, where product demands, cell size limits, sequence of operations, multiple units of identical machines, mach...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/28788/ http://psasir.upm.edu.my/id/eprint/28788/1/A%20mathematical%20programming%20model%20for%20cell%20formation%20problem%20with%20machine%20replication.pdf |
| _version_ | 1848846213270470656 |
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| author | Raminfar, Reza Zulkifli, Norzima Vasili, Mohammadreza |
| author_facet | Raminfar, Reza Zulkifli, Norzima Vasili, Mohammadreza |
| author_sort | Raminfar, Reza |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Cell formation (CF) is a crucial aspect in the design of cellular manufacturing (CM) systems. This paper develops a comprehensive mathematical programming model for the cell formation problem, where product demands, cell size limits, sequence of operations, multiple units of identical machines, machine capacity, or machine cost are all considered. In this model, the intercell moves are restricted to be unidirectional from one cell to the downstream cells, without backtracking. The proposed model is investigated through several numerical examples. To evaluate the solution quality of the proposed model, it is compared with some well-known cell formation methods from the literature, by using group capability index (GCI) as a performance measure. The results and comparisons indicate that the proposed model produces solution with a higher performance. |
| first_indexed | 2025-11-15T08:59:08Z |
| format | Article |
| id | upm-28788 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:59:08Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-287882016-02-12T02:54:18Z http://psasir.upm.edu.my/id/eprint/28788/ A mathematical programming model for cell formation problem with machine replication Raminfar, Reza Zulkifli, Norzima Vasili, Mohammadreza Cell formation (CF) is a crucial aspect in the design of cellular manufacturing (CM) systems. This paper develops a comprehensive mathematical programming model for the cell formation problem, where product demands, cell size limits, sequence of operations, multiple units of identical machines, machine capacity, or machine cost are all considered. In this model, the intercell moves are restricted to be unidirectional from one cell to the downstream cells, without backtracking. The proposed model is investigated through several numerical examples. To evaluate the solution quality of the proposed model, it is compared with some well-known cell formation methods from the literature, by using group capability index (GCI) as a performance measure. The results and comparisons indicate that the proposed model produces solution with a higher performance. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/28788/1/A%20mathematical%20programming%20model%20for%20cell%20formation%20problem%20with%20machine%20replication.pdf Raminfar, Reza and Zulkifli, Norzima and Vasili, Mohammadreza (2013) A mathematical programming model for cell formation problem with machine replication. Journal of Applied Mathematics, 2013. art. no. 285759. pp. 1-9. ISSN 1110-757X; ESSN: 1687-0042 http://dx.doi.org/10.1155/2013/285759 10.1155/2013/285759 |
| spellingShingle | Raminfar, Reza Zulkifli, Norzima Vasili, Mohammadreza A mathematical programming model for cell formation problem with machine replication |
| title | A mathematical programming model for cell formation problem with machine replication |
| title_full | A mathematical programming model for cell formation problem with machine replication |
| title_fullStr | A mathematical programming model for cell formation problem with machine replication |
| title_full_unstemmed | A mathematical programming model for cell formation problem with machine replication |
| title_short | A mathematical programming model for cell formation problem with machine replication |
| title_sort | mathematical programming model for cell formation problem with machine replication |
| url | http://psasir.upm.edu.my/id/eprint/28788/ http://psasir.upm.edu.my/id/eprint/28788/ http://psasir.upm.edu.my/id/eprint/28788/ http://psasir.upm.edu.my/id/eprint/28788/1/A%20mathematical%20programming%20model%20for%20cell%20formation%20problem%20with%20machine%20replication.pdf |