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Projecting systems of linear inequalities with binary variables

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  • Egon Balas

Abstract

We investigate methods for projecting out 0–1 variables from a system of linear inequalities. After reviewing some special cases like monotone polyhedra and the satisfiability problem, we examine why Fourier elimination cannot be applied to the general case. Finally, we give a procedure based on disjunctive programming for solving the general case. We also discuss a simpler procedure applicable only under certain conditions. Copyright Springer Science+Business Media, LLC 2011

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  • Egon Balas, 2011. "Projecting systems of linear inequalities with binary variables," Annals of Operations Research, Springer, vol. 188(1), pages 19-31, August.
    • Handle: RePEc:spr:annopr:v:188:y:2011:i:1:p:19-31:10.1007/s10479-009-0623-3
    DOI: 10.1007/s10479-009-0623-3
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    1. Jeroslow, Robert G., 1988. "A simplification for some disjunctive formulations," European Journal of Operational Research, Elsevier, vol. 36(1), pages 116-121, July.
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    Cited by:

    1. Amitabh Basu & Kipp Martin & Christopher Thomas Ryan & Guanyi Wang, 2019. "Mixed-Integer Linear Representability, Disjunctions, and Chvátal Functions—Modeling Implications," Management Science, INFORMS, vol. 44(4), pages 1264-1285, November.

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