Find a valid inequality
$begingroup$
Find a valid inequality for
$$
{xin{0,1}^5 mid 9x_1 + 8x_2 + 6x_3 + 6x_4 + 5x_5 leq 14}
$$
that cuts off $(1/4, 1/8, 3/4, 3/4, 0)$.
I tried both Chvàtal cut and cover inequality, both of which don’t work.
integer-programming
asked Jan 1 at 14:51
BernoulliBernoulli
32618
$endgroup$
add a comment |
$begingroup$
Find a valid inequality for
$$
{xin{0,1}^5 mid 9x_1 + 8x_2 + 6x_3 + 6x_4 + 5x_5 leq 14}
$$
that cuts off $(1/4, 1/8, 3/4, 3/4, 0)$.
I tried both Chvàtal cut and cover inequality, both of which don’t work.
integer-programming
asked Jan 1 at 14:51
BernoulliBernoulli
32618
$endgroup$
add a comment |
$begingroup$
Find a valid inequality for
$$
{xin{0,1}^5 mid 9x_1 + 8x_2 + 6x_3 + 6x_4 + 5x_5 leq 14}
$$
that cuts off $(1/4, 1/8, 3/4, 3/4, 0)$.
I tried both Chvàtal cut and cover inequality, both of which don’t work.
integer-programming
asked Jan 1 at 14:51
BernoulliBernoulli
32618
$endgroup$
Find a valid inequality for
$$
{xin{0,1}^5 mid 9x_1 + 8x_2 + 6x_3 + 6x_4 + 5x_5 leq 14}
$$
that cuts off $(1/4, 1/8, 3/4, 3/4, 0)$.
I tried both Chvàtal cut and cover inequality, both of which don’t work.
integer-programming
integer-programming
asked Jan 1 at 14:51
BernoulliBernoulli
32618
asked Jan 1 at 14:51
BernoulliBernoulli
32618
asked Jan 1 at 14:51
BernoulliBernoulli
32618
asked Jan 1 at 14:51
BernoulliBernoulli
32618
asked Jan 1 at 14:51
BernoulliBernoulli
32618
32618
add a comment |
add a comment |
1 Answer
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$begingroup$
Of the $32$ vertices of the $5$-cube, $14$ satisfy your constraint.
If $w = (1/4,1/8,3/4,3/4,0)$, try maximizing $y cdot w - c$ subject to
$y cdot v le c$ for those vertices $v$, where say $-1 le y_i le 1$.
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
$endgroup$
add a comment |
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1 Answer
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1 Answer
1
active
oldest
votes
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$begingroup$
Of the $32$ vertices of the $5$-cube, $14$ satisfy your constraint.
If $w = (1/4,1/8,3/4,3/4,0)$, try maximizing $y cdot w - c$ subject to
$y cdot v le c$ for those vertices $v$, where say $-1 le y_i le 1$.
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
$endgroup$
add a comment |
$begingroup$
Of the $32$ vertices of the $5$-cube, $14$ satisfy your constraint.
If $w = (1/4,1/8,3/4,3/4,0)$, try maximizing $y cdot w - c$ subject to
$y cdot v le c$ for those vertices $v$, where say $-1 le y_i le 1$.
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
$endgroup$
add a comment |
$begingroup$
Of the $32$ vertices of the $5$-cube, $14$ satisfy your constraint.
If $w = (1/4,1/8,3/4,3/4,0)$, try maximizing $y cdot w - c$ subject to
$y cdot v le c$ for those vertices $v$, where say $-1 le y_i le 1$.
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
$endgroup$
Of the $32$ vertices of the $5$-cube, $14$ satisfy your constraint.
If $w = (1/4,1/8,3/4,3/4,0)$, try maximizing $y cdot w - c$ subject to
$y cdot v le c$ for those vertices $v$, where say $-1 le y_i le 1$.
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
answered Jan 1 at 15:07
Robert IsraelRobert Israel
332k23222482
332k23222482
add a comment |
add a comment |
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