The elimination of integer variables

Williams, H. P. (1992). The elimination of integer variables. Journal of the Operational Research Society, 43(5), 387-393. https://doi.org/10.1057/jors.1992.65
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It is pointed out that the projection of a Linear Programme (LP) into a lower dimension still results in an LP. For an Integer Programme (IP) this is not generally the case. Circumstances in which the projection (after eliminating integer variables) is still an IP are given.

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