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An Automatic Method of Solving Discrete Programming Problems

Land, A. H., Doig, A. G.·1960·Econometrica

Abstract

I n the classical linear programming problem the behaviour of continuous, nonnegative variables subject to a system of linear inequalities is investigated.One possible generalization of this problem is to relax the continuity condition on the variables.This paper presents a simple numerical algorithm for the solution of programming problems in which some or all of the variables can take only discrete values.The algorithm requires no special techniques beyond those used in ordinary linear programming, and lends itself to automatic computing.Its use is illustrated on two ~lumerical examples.

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Metadata

Authors
Land, A. H., & Doig, A. G.
Venue
Econometrica
Publisher
JSTOR
Published
1960-07
Volume
28
Issue
3
Pages
497
ISSN
0012-9682 (ISSN-L)
OpenAlex
W4240374930
Cited by
1,942
References
0
FWCI
3.42
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: An Automatic Method of Solving Discrete Programming Problems. https://app.cochat.ai/papers/10.2307/1910129
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Land, A. H., & Doig, A. G. (1960). An Automatic Method of Solving Discrete Programming Problems. Econometrica. https://doi.org/10.2307/1910129

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.