On the significance of solving linear-programming problems with some integer variables.
ResearchPublished 1959
A discussion of recent proposals by Gomory and others for solving linear programs involving integer-valued variables. Problems that can be reduced to this class, and thereby solved, are reviewed. It is significant that the reduction can be made for problems involving multiple dichotomies and k-fold alternatives. These problems include those with discrete variables, nonlinear separable minimizing functions, conditional constraints, global minimum of general concave functions, and combinatorial problems such as the fixed-charge problem, traveling-salesman problem, orthogonal latin-square problems, and map-coloring problems.
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Document Details
- Copyright: RAND Corporation
- Availability: Available
- Year: 1959
- Print Format: Paperback
- Paperback Pages: 28
- Paperback Price: $15.00
- Document Number: P-1486
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Dantzig, George Bernard, On the significance of solving linear-programming problems with some integer variables. RAND Corporation, P-1486, 1959. As of September 5, 2024: https://www.rand.org/pubs/papers/P1486.html
Dantzig, George Bernard, On the significance of solving linear-programming problems with some integer variables. Santa Monica, CA: RAND Corporation, 1959. https://www.rand.org/pubs/papers/P1486.html. Also available in print form.
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