The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
The Quadratic Assignment Problem
Abstract
This paper presents a formulation of the quadratic assignment problem, of which the Koopmans-Beckmann formulation is a special case. Various applications for the formulation are discussed. The equivalence of the problem to a linear assignment problem with certain additional constraints is demonstrated. A method for calculating a lower bound on the cost function is presented, and this forms the basis for an algorithm to determine optimal solutions. Further generalizations to cubic, quartic, N-adic problems are considered.
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Citations
Cites
Assignment Problems and the Location of Economic Activities
Koopmans, T. C., & Beckmann, M. (1957) · Econometrica · doi:10.2307/1907742 · Cited by 2,308
An Automatic Method for Solving Discrete Programming Problems
Land, A. H., & Doig, A. G. (2010) · 50 Years of Integer Programming 1958-2008 · doi:10.1007/978-3-540-68279-0_5 · Cited by 1,988
Optimal and Suboptimal Algorithms for the Quadratic Assignment Problem
Gilmore, P. C. (1962) · Journal of the Society for Industrial and Applied Mathematics · doi:10.1137/0110022 · Cited by 448
The Backboard Wiring Problem: A Placement Algorithm
Steinberg, L. (1961) · SIAM Review · doi:10.1137/1003003 · Cited by 379
Solving the Transportation Problem
Ford, L. R., & Fulkerson, D. R. (1956) · Management Science · doi:10.1287/mnsc.3.1.24 · Cited by 155
Cited by
Boros, E., & Hammer, P. L. (2002) · Discrete Applied Mathematics · doi:10.1016/s0166-218x(01)00341-9 · Cited by 827
Kammerdiner, A., Gevezes, T., Pasiliao, E., Pitsoulis, L., & Pardalos, P. M. (2013) · Encyclopedia of Operations Research and Management Science · doi:10.1007/978-1-4419-1153-7_1152 · Cited by 273
Image Reconstruction from Bag-of-Visual-Words
Kato, H., & Harada, T. (2014) · 2014 IEEE Conference on Computer Vision and Pattern Recognition · doi:10.1109/cvpr.2014.127 · Cited by 81
Metadata
- Authors
- Lawler, E. L.
- Venue
- Management Science
- Published
- 1963-07
- Volume
- 9
- Issue
- 4
- Pages
- 586-599
- ISSN
- 0025-1909 (ISSN-L)
- 1526-5501
- OpenAlex
- W2084512390
- Cited by
- 964
- References
- 5
- FWCI
- 8.77
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lawler, E. L. (1963). The Quadratic Assignment Problem. Management Science. https://doi.org/10.1287/mnsc.9.4.586
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
