RE: diet problem disregarding cost
If a_ij is the amount of nutrient i in food j, and b_i is the desired amount of
nutrients, and x_j is the amount of food to purchase, then
sum{x_j * a_ij : j in FOODS} – b_i = b_i*(rpos_i – rneg_i)
would then have rpos_i + rneg_i be the absolute value of the deviation of the
fraction needed
From: Bjørnar Ness
Sent: Wednesday, March 20, 2024 10:26 AM
To: Meketon, Marc
Cc: Dušan Plavák ; help-glpk@gnu.org
Subject: Re: diet problem disregarding cost
CAUTION: This email originated outside the company. Do not click links or open
attachments unless you are expecting them from the sender.
Thanks a lot. But do you have a small example I can continue on? It important
that the values are not absolute, but fractions of the needed quantities
ons. 20. mars 2024 kl. 15:21 skrev Meketon, Marc
mailto:marc.meke...@oliverwyman.com>>:
In general, if you have variables rpos_i and rneg_i (the ith constraint), and
you have:
[linear equation i] = rpos_i – rneg_i
Then (rpos_i + rneg_i) is the absolute value
If you then have
rpos_i + rneg_i <= z
z would be the maximum absolute value, and then you just minimize z.
From:
help-glpk-bounces+marc.meketon=oliverwyman@gnu.org<mailto:oliverwyman@gnu.org>
mailto:oliverwyman@gnu.org>>
On Behalf Of Dušan Plavák
Sent: Wednesday, March 20, 2024 7:02 AM
To: Bjørnar Ness mailto:bjornar.n...@gmail.com>>
Cc: help-glpk@gnu.org<mailto:help-glpk@gnu.org>
Subject: Re: diet problem disregarding cost
CAUTION: This email originated outside the company. Do not click links or open
attachments unless you are expecting them from the sender.
Hi, feel free to send me an email. I did this ~ 9-10 years ago for our startup
where we generate personalized nutrition plans for our clients using glpk.
Basically you want to build bunch of inequalities and most probably you want to
have more variables not only nutrients... Depend on your exact use case.
On Wed, Mar 20, 2024 at 4:34 PM Bjørnar Ness
mailto:bjornar.n...@gmail.com>> wrote:
Can anyone point me to an diet problem example that tries to minimize
max deviation in percentage for each nutrient, disregarding cost?
--
Bj(/)rnar
--
S pozdravom Dušan Plavák
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Re: diet problem disregarding cost
Thanks a lot. But do you have a small example I can continue on? It important that the values are not absolute, but fractions of the needed quantities ons. 20. mars 2024 kl. 15:21 skrev Meketon, Marc < marc.meke...@oliverwyman.com>: > In general, if you have variables rpos_i and rneg_i (the ith constraint), > and you have: > > > > [linear equation i] = rpos_i – rneg_i > > > > Then (rpos_i + rneg_i) is the absolute value > > > > If you then have > > rpos_i + rneg_i <= z > > > > z would be the maximum absolute value, and then you just minimize z. > > > > *From:* help-glpk-bounces+marc.meketon=oliverwyman@gnu.org > *On Behalf Of *Dušan > Plavák > *Sent:* Wednesday, March 20, 2024 7:02 AM > *To:* Bjørnar Ness > *Cc:* help-glpk@gnu.org > *Subject:* Re: diet problem disregarding cost > > > > > > *CAUTION:* This email originated outside the company. Do not click links > or open attachments unless you are expecting them from the sender. > > > > Hi, feel free to send me an email. I did this ~ 9-10 years ago for our > startup where we generate personalized nutrition plans for our clients > using glpk. > > > > Basically you want to build bunch of inequalities and most probably you > want to have more variables not only nutrients... Depend on your exact use > case. > > > > On Wed, Mar 20, 2024 at 4:34 PM Bjørnar Ness > wrote: > > Can anyone point me to an diet problem example that tries to minimize > max deviation in percentage for each nutrient, disregarding cost? > > -- > Bj(/)rnar > > > > > -- > > S pozdravom Dušan Plavák > > -- > This e-mail and any attachments may be confidential or legally privileged. > If you received this message in error or are not the intended recipient, > you should destroy the e-mail message and any attachments or copies, and > you are prohibited from retaining, distributing, disclosing or using any > information contained herein. Please inform us of the erroneous delivery by > return e-mail. Thank you for your cooperation. For more information on how > we use your personal data please see our Privacy Notice > <https://www.oliverwyman.com/policies/privacy-notice.html>. > -- Bj(/)rnar
RE: diet problem disregarding cost
In general, if you have variables rpos_i and rneg_i (the ith constraint), and you have: [linear equation i] = rpos_i – rneg_i Then (rpos_i + rneg_i) is the absolute value If you then have rpos_i + rneg_i <= z z would be the maximum absolute value, and then you just minimize z. From: help-glpk-bounces+marc.meketon=oliverwyman@gnu.org On Behalf Of Dušan Plavák Sent: Wednesday, March 20, 2024 7:02 AM To: Bjørnar Ness Cc: help-glpk@gnu.org Subject: Re: diet problem disregarding cost CAUTION: This email originated outside the company. Do not click links or open attachments unless you are expecting them from the sender. Hi, feel free to send me an email. I did this ~ 9-10 years ago for our startup where we generate personalized nutrition plans for our clients using glpk. Basically you want to build bunch of inequalities and most probably you want to have more variables not only nutrients... Depend on your exact use case. On Wed, Mar 20, 2024 at 4:34 PM Bjørnar Ness mailto:bjornar.n...@gmail.com>> wrote: Can anyone point me to an diet problem example that tries to minimize max deviation in percentage for each nutrient, disregarding cost? -- Bj(/)rnar -- S pozdravom Dušan Plavák This e-mail and any attachments may be confidential or legally privileged. If you received this message in error or are not the intended recipient, you should destroy the e-mail message and any attachments or copies, and you are prohibited from retaining, distributing, disclosing or using any information contained herein. Please inform us of the erroneous delivery by return e-mail. Thank you for your cooperation. For more information on how we use your personal data please see our Privacy Notice<https://www.oliverwyman.com/policies/privacy-notice.html>.
Re: diet problem disregarding cost
Hi, feel free to send me an email. I did this ~ 9-10 years ago for our startup where we generate personalized nutrition plans for our clients using glpk. Basically you want to build bunch of inequalities and most probably you want to have more variables not only nutrients... Depend on your exact use case. On Wed, Mar 20, 2024 at 4:34 PM Bjørnar Ness wrote: > Can anyone point me to an diet problem example that tries to minimize > max deviation in percentage for each nutrient, disregarding cost? > > -- > Bj(/)rnar > > -- S pozdravom Dušan Plavák
diet problem disregarding cost
Can anyone point me to an diet problem example that tries to minimize max deviation in percentage for each nutrient, disregarding cost? -- Bj(/)rnar
