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Multicommodity Distribution System Design by Benders Decomposition
Abstract
A commonly occurring problem in distribution system design is the optimal location of intermediate distribution facilities between plants and customers. A multi-commodity capacitated single-period version of this problem is formulated as a mixed integer linear program. A solution technique based on Benders Decomposition is developed, implemented, and successfully applied to a real problem for a major food firm with 17 commodity classes, 14 plants, 45 possible distribution center sites, and 121 customer zones. An essentially optimal solution was found and proven with a surprisingly small number of Benders cuts. Some discussion is given concerning why this problem class appears to be so amenable to solution by Benders' method, and also concerning what we feel to be the proper professional use of the present computational technique.
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Cited by
Facility location under uncertainty: a review
Snyder, L. V. (2006) · IIE Transactions · doi:10.1080/07408170500216480 · Cited by 1,019
Facility location models for distribution system design
Klose, A., & Drexl, A. (2005) · European Journal of Operational Research · doi:10.1016/j.ejor.2003.10.031 · Cited by 965
The design of robust value-creating supply chain networks: A critical review
Klibi, W., Martel, A., & Guitouni, A. (2010) · European Journal of Operational Research · doi:10.1016/j.ejor.2009.06.011 · Cited by 870
Vidal, C. J., & Goetschalckx, M. (1997) · European Journal of Operational Research · doi:10.1016/s0377-2217(97)80080-x · Cited by 759
The design of reverse distribution networks: Models and solution procedures
Jayaraman, V., Patterson, R. A., & Rolland, E. (2003) · European Journal of Operational Research · doi:10.1016/s0377-2217(02)00497-6 · Cited by 473
Metadata
- Authors
- Geoffrion, A. M., & Graves, G. W.
- Venue
- Management Science
- Published
- 1974-01
- Volume
- 20
- Issue
- 5
- Pages
- 822-844
- ISSN
- 0025-1909 (ISSN-L)
- 1526-5501
- OpenAlex
- W4250535541
- Cited by
- 906
- References
- 0
- FWCI
- 24.31
- Type
- journal article
- Language
- en
- Open access
- closed
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