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Capacity and tool allocation problem in flexible manufacturing systems
Date
2006-06-01
Author
Bilgin, S.
Azizoğlu, Meral
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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This study addresses an allocation problem that arises in the semiconductor industry and flexible manufacturing systems where the tools should be loaded on computer numerical controlled (CNC) machines to process a number of operations. The time and tool magazine capacities of the CNC machines and the number of available tools of each type are limited. The objective is to maximize the total weight of operation assignments. We present a mixed integer programming formulation of the problem and show that the problem is NP-hard in the strong sense. We show that the linear programming relaxation upper bound dominates the best possible Lagrangean relaxation upper bound. We develop several lower bounding procedures and a lower bounding procedure using Lagrangean relaxation approach. Our computational results show that the upper and lower bounding procedures produce near-optimal solutions in reasonable times.
Subject Keywords
Marketing
,
Management Science and Operations Research
,
Strategy and Management
,
Management Information Systems
URI
https://hdl.handle.net/11511/35402
Journal
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
DOI
https://doi.org/10.1057/palgrave.jors.2602039
Collections
Department of Industrial Engineering, Article
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S. Bilgin and M. Azizoğlu, “Capacity and tool allocation problem in flexible manufacturing systems,”
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
, pp. 670–681, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35402.