# How to linearize this logical constraint

 0 Dear my friends, How can I efficiently linearize the following logical constraint? asked 10 Jul '15, 12:03 monash 37●2●4●11 accept rate: 0% is x nonnegative? (10 Jul '15, 13:01) Ayhan @Ayhan: yes, x is nonnegative. (10 Jul '15, 13:20) monash

 3 You can't, at least not exactly. If you're willing to accept an approximate solution (ruling out very small positive values for $$x$$, then this is a FAQ; a bit of searching should turn up one or more answers. answered 10 Jul '15, 16:15 Paul Rubin ♦♦ 14.6k●5●13 accept rate: 19% 2 $$\epsilon - M \leq x - M\cdot y \leq 0$$ (13 Jul '15, 18:08) Slavko @Slavko: Why don't you express your comment as an answer? I really liked it! (14 Jul '15, 11:17) monash Since my comment is only a complement to the above answer Prof. @Paul Rubin. All my statements in questions like "How to linearize ..." are based on previous entries mentioned by Prof. @Paul Rubin. (16 Jul '15, 12:22) Slavko
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