Timeline for What kind of optimization problem is this?
Current License: CC BY-SA 4.0
7 events
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| May 23, 2022 at 6:09 | history | edited | Rodrigo de Azevedo | CC BY-SA 4.0 |
added 33 characters in body; edited tags
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| Mar 5, 2013 at 13:12 | comment | added | Barry Cipra | I'm perplexed by what you're trying to maximize. As soon as you have one pair, $(u_0,v_0)$, that satisfies the inequality for all $x,y$, any pair $(u_0,v)$ with $v>v_0$ also satisfies the inequality. Letting $(u_0,v_0)=(1/2,1/2)$ (since $u_0x^2+v_0y^2-xy = (x-y)^2/2$), it looks like you wind up "maximizing" $2(1+v)$ over $v>1/2$. | |
| Mar 5, 2013 at 1:57 | vote | accept | Yuan | ||
| Mar 4, 2013 at 19:02 | history | edited | Dima Pasechnik |
edited tags
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| Mar 4, 2013 at 19:01 | answer | added | Dima Pasechnik | timeline score: 2 | |
| Mar 4, 2013 at 16:39 | comment | added | Gilead | It looks like a nonlinear fractional program (en.wikipedia.org/wiki/Fractional_programming). You can solve it as a general nonlinear program, but there may be specific properties you can exploit if you treat it as a fractional program. | |
| Mar 4, 2013 at 16:21 | history | asked | Yuan | CC BY-SA 3.0 |