We address a manufacturing cell formation problem (CFP) in which one of the constraints limits the maximum cell workload to a given threshold. To meet such a requirement, it is possible to allocate copies of existing machines in different cells. Additional machines, however, increase costs and may also increase inter-cell flow. The proposed CFP is first modelled in terms of bilevel optimization and then reformulated as a single-level optimization problem. To the best of our knowledge, this is the first study addressing the CFP with a cell workload constraint as a bilevel optimization problem. The results of this paper have direct implications for real-world decision-making for at least two reasons. One is related to the methodology used that allows one to model the actual dynamic of the decision-making process more accurately. The second reason is that the proposed model enables better system efficiency when both machine and inter-cell material handling costs are minimized. Experimental results are presented and discussed.

Caramia, M., Mari, R. (2017). A manufacturing cell formation problem with a maximum cell workload constraint. IMA JOURNAL OF MANAGEMENT MATHEMATICS, 28(2), 279-298 [10.1093/imaman/dpv027].

A manufacturing cell formation problem with a maximum cell workload constraint

CARAMIA, MASSIMILIANO;
2017

Abstract

We address a manufacturing cell formation problem (CFP) in which one of the constraints limits the maximum cell workload to a given threshold. To meet such a requirement, it is possible to allocate copies of existing machines in different cells. Additional machines, however, increase costs and may also increase inter-cell flow. The proposed CFP is first modelled in terms of bilevel optimization and then reformulated as a single-level optimization problem. To the best of our knowledge, this is the first study addressing the CFP with a cell workload constraint as a bilevel optimization problem. The results of this paper have direct implications for real-world decision-making for at least two reasons. One is related to the methodology used that allows one to model the actual dynamic of the decision-making process more accurately. The second reason is that the proposed model enables better system efficiency when both machine and inter-cell material handling costs are minimized. Experimental results are presented and discussed.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/09 - Ricerca Operativa
English
Con Impact Factor ISI
cell formation, workload balancing, system efficiency, bilevel programming, valid inequalities
Caramia, M., Mari, R. (2017). A manufacturing cell formation problem with a maximum cell workload constraint. IMA JOURNAL OF MANAGEMENT MATHEMATICS, 28(2), 279-298 [10.1093/imaman/dpv027].
Caramia, M; Mari, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/179631
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