A hybrid Benders approach for coordinated capacitated lot-sizing of multiple product families with set-up times

Date

2018-01-01

Author

Bayley, Tiffany
Süral, Haldun
Bookbinder, James H.

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We examine a coordinated capacitated lot-sizing problem for multiple product families, where demand is deterministic and time-varying. The problem considers set-up and holding costs, where capacity constraints limit the number of individual item and family set-up times and the amount of production in each period. Using a strong reformulation and relaxing the demand constraints, we improve both the upper and lower bounds using a combination of Benders decomposition and an evolutionary algorithm, followed by subgradient optimisation. Through computational experiments, we show that our method consistently achieves better bounds, reducing the duality gap compared to other single-family methods studied in the literature.

Subject Keywords

Management Science and Operations Research, Strategy and Management, Industrial and Manufacturing Engineering

URI

https://hdl.handle.net/11511/46544

Journal

INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH

DOI

https://doi.org/10.1080/00207543.2017.1338778

Collections

Department of Industrial Engineering, Article

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Citation Formats

T. Bayley, H. Süral, and J. H. Bookbinder, “A hybrid Benders approach for coordinated capacitated lot-sizing of multiple product families with set-up times,” INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, pp. 1326–1344, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46544.