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Computation版 - [转载] lineariation problem....help, please
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1 (共1页)
a*******o
发帖数: 129
1
【 以下文字转载自 CS 讨论区,原文如下 】
发信人: ayiyahiho (sddddddddddddddddd), 信区: CS
标 题: lineariation problem....help, please
发信站: Unknown Space - 未名空间 (Mon Jun 6 17:52:27 2005) WWW-POST
Hi, all,
I have a nonlinear constraint which i don't know how to linearize it.
it is in the form
x*y=z
x and y both have a bound.
Then, how can i linearize it? I hope I can achieve a LP or MILP form by
linearization.
Thank you very much.
r****y
发帖数: 1437
2

log(x) + log(y) = log(z)
if negative numbers exist (e.g. x <0), just use -x to do all the stuff.

【在 a*******o 的大作中提到】
: 【 以下文字转载自 CS 讨论区,原文如下 】
: 发信人: ayiyahiho (sddddddddddddddddd), 信区: CS
: 标 题: lineariation problem....help, please
: 发信站: Unknown Space - 未名空间 (Mon Jun 6 17:52:27 2005) WWW-POST
: Hi, all,
: I have a nonlinear constraint which i don't know how to linearize it.
: it is in the form
: x*y=z
: x and y both have a bound.
: Then, how can i linearize it? I hope I can achieve a LP or MILP form by

a*******o
发帖数: 129
3
Thank you very much.
I also have other constraints which x and y are linearized in them.
If I do log(x) and log(y), it would violate linearization of other
constraints.
I am sorry. I forgot to put on all the conditions.
Are there a way to use two or three inequalities to substitute this equality?
For example,
x*y=3.
Can I use like the following form to substitute it?
x+y>=C1
x-y<=C2...
x and y are continuous variable.
Thanks....I am not familiar with this kind of stuffs.

【在 r****y 的大作中提到】
:
: log(x) + log(y) = log(z)
: if negative numbers exist (e.g. x <0), just use -x to do all the stuff.

h***o
发帖数: 26
4
google bilinear convex and concave envelope

【在 a*******o 的大作中提到】
: Thank you very much.
: I also have other constraints which x and y are linearized in them.
: If I do log(x) and log(y), it would violate linearization of other
: constraints.
: I am sorry. I forgot to put on all the conditions.
: Are there a way to use two or three inequalities to substitute this equality?
: For example,
: x*y=3.
: Can I use like the following form to substitute it?
: x+y>=C1

a*******o
发帖数: 129
5
Thanks a lot!

equality?
stuff.

【在 h***o 的大作中提到】
: google bilinear convex and concave envelope
1 (共1页)
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