Fourier-Motzkin elimination extension to integer programming problems

Williams, H. P. (1976). Fourier-Motzkin elimination extension to integer programming problems. Journal of Combinatorial Theory, Series A, 21(1), 118-123. https://doi.org/10.1016/0097-3165(76)90055-8
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This paper describes how the Fourier-Motzkin Elimination Method, which can be used for solving Linear Programming Problems, can be extended to deal with Integer Programming Problems. The extension derives from a known decision procedure for the formal theory of a fragment of arithmetic which excludes multiplication.

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