I have the following condition in an LP problem. I have a variable $x_i \in i = 1,2,..7$ and I need to constrain the problem via:
if $x_1$ >5 then $x_2 \leq 30$
I'm stumped on how to formulate that with integer variables.
Thanks
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$\begingroup$ Call $y\in\{0,1\}$ a binary variable and consider $x_1-Ay\leq 5, x_2-A(1-y)\leq 30$, where $A$ is a very large constant. $\endgroup$– plopNov 26, 2020 at 0:40
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1$\begingroup$ cs.stackexchange.com/q/104990/755, cs.stackexchange.com/q/67163/755, cs.stackexchange.com/q/12102/755 $\endgroup$– D.W. ♦Nov 26, 2020 at 1:15
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$\begingroup$ Thank you. Appreciate it. $\endgroup$– meb33Nov 26, 2020 at 2:06
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