Timeline for Meaning of infeasible model: unsuccessful solving for an IP model with binary variables
Current License: CC BY-SA 4.0
11 events
when toggle format | what | by | license | comment | |
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Apr 10, 2022 at 13:57 | vote | accept | Fabius Wiesner | ||
Apr 9, 2022 at 20:08 | comment | added | prubin♦ | $\dots \le -2$ would be appropriate if you omitted $x_{31}.$ Rob's model includes it. You could fix $x_{31}=1,$ but there is no need to. | |
Apr 9, 2022 at 19:11 | comment | added | Fabius Wiesner | Rethinking about it, I think that $\ldots-s_i<=-2$, since I consider $x_{31}=1$ and $x_0=0$ in my "simplification". Thus we have $0$ objective value with non-integer $x_i$, and we can't conclude anything. | |
Apr 9, 2022 at 18:34 | comment | added | RobPratt | Yes, $\dots -s_i \le -1$. | |
Apr 9, 2022 at 18:32 | history | edited | RobPratt | CC BY-SA 4.0 |
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Apr 9, 2022 at 18:32 | comment | added | Fabius Wiesner | I think I have to replace $\ldots<=-2$ with $\ldots-s_i<=-1$ in my inequalities right? | |
Apr 9, 2022 at 18:29 | comment | added | Fabius Wiesner | Wait, I must retry, I didn't consider the empty set in Rob Pratt formulation, I have to check it again. | |
Apr 9, 2022 at 18:28 | comment | added | RobPratt | If the objective value is $0$ and the $x$ variables take integer values, you have a counterexample. Otherwise, you can't conclude anything. | |
Apr 9, 2022 at 18:26 | comment | added | prubin♦ | If the objective value is zero, the solution should provide a counterexample to the conjecture. Does it? | |
Apr 9, 2022 at 18:14 | comment | added | Fabius Wiesner | Unfortunately, with slack variables, the result is $0$. So we can say nothing in this case? | |
Apr 9, 2022 at 17:20 | history | answered | RobPratt | CC BY-SA 4.0 |