Capacity and tool allocation problem in flexible manufacturing systems

Date

2006-06-01

Author

Bilgin, S.
Azizoğlu, Meral

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This work is licensed under a 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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Citation Formats

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.