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I don't understand research paper goal programming equations, help please~ [on hold]

Need help with a Linear Programming homework.Convex optimization and linear programming please help! :)Linear Programming 3 decision variables (past exam paper question)Linear Programming 3 decision variables (past exam paper question)optimizing contractor schedules - operations research linear programmingOperation Research: system of equationsHow to represent in Linear Programming (equations)?Need help to understand part of a lecture on linear programmingGoal Oriented Programming: Minimizing maximum percentage deviationAre we allowed to simplify the goal constraints in goal programming?

0

$begingroup$

1. Maillot M, Vieux F, Ferguson EF, Volatier JL, Amiot MJ, Darmon N. To meet
   nutrient recommendations, most French adults need to expand their
   habitual food repertoire. J Nutr. 2009;139:1721–7.


2. Masset G, Monsivais P, Maillot M, Darmon N, Drewnowski A. Diet
   optimization methods can help translate dietary guidelines into a cancer
   prevention food plan. J Nutr. 2009;139:1541–8.


3. Okubo H, Sasaki S, Murakami K, et al. Designing optimal food intake patterns to achieve nutritional goals for Japanese adults through the use of linear programming optimization models. Nutr J. 2015;14:57.

The three papers listed are using similar methodologies. But, I just don't understand why all of them stating they divide the observed values as referring to standardizing difference across foods? What does that mean? What's the difference between both equations?

Equation (Okubo 2015):

Y = sum [Xi (opt) - Xi (obs)]/ Xi (obs)
subject to constraints

Equation (Masset 2009):

Y = sum [Xi (obs) - Xi (opt)]/ Xi (obs)
subject to constraints

Picture attached is cropped from Okubo 2015

Thank you very much.

Okubo 2015

linear-programming

share|cite|improve this question

edited Mar 11 at 12:56

YuiTo Cheng

2,0592637

asked Mar 11 at 11:26

KerryKerry

1

New contributor

Kerry is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

put on hold as unclear what you're asking by Shailesh, Gibbs, Saad, Delta-u, Parcly Taxel Mar 11 at 13:27

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Previously asked at MathOverflow where it was closed.
  $endgroup$
  – Joel Reyes Noche
  Mar 11 at 13:04
  

  
  
  
  

add a comment | 

0

$begingroup$

1. Maillot M, Vieux F, Ferguson EF, Volatier JL, Amiot MJ, Darmon N. To meet
   nutrient recommendations, most French adults need to expand their
   habitual food repertoire. J Nutr. 2009;139:1721–7.


2. Masset G, Monsivais P, Maillot M, Darmon N, Drewnowski A. Diet
   optimization methods can help translate dietary guidelines into a cancer
   prevention food plan. J Nutr. 2009;139:1541–8.


3. Okubo H, Sasaki S, Murakami K, et al. Designing optimal food intake patterns to achieve nutritional goals for Japanese adults through the use of linear programming optimization models. Nutr J. 2015;14:57.

The three papers listed are using similar methodologies. But, I just don't understand why all of them stating they divide the observed values as referring to standardizing difference across foods? What does that mean? What's the difference between both equations?

Equation (Okubo 2015):

Y = sum [Xi (opt) - Xi (obs)]/ Xi (obs)
subject to constraints

Equation (Masset 2009):

Y = sum [Xi (obs) - Xi (opt)]/ Xi (obs)
subject to constraints

Picture attached is cropped from Okubo 2015

Thank you very much.

Okubo 2015

linear-programming

share|cite|improve this question

edited Mar 11 at 12:56

YuiTo Cheng

2,0592637

asked Mar 11 at 11:26

KerryKerry

1

New contributor

Kerry is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

put on hold as unclear what you're asking by Shailesh, Gibbs, Saad, Delta-u, Parcly Taxel Mar 11 at 13:27

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Previously asked at MathOverflow where it was closed.
  $endgroup$
  – Joel Reyes Noche
  Mar 11 at 13:04
  

  
  
  
  

add a comment | 

$begingroup$

1. Maillot M, Vieux F, Ferguson EF, Volatier JL, Amiot MJ, Darmon N. To meet
   nutrient recommendations, most French adults need to expand their
   habitual food repertoire. J Nutr. 2009;139:1721–7.


2. Masset G, Monsivais P, Maillot M, Darmon N, Drewnowski A. Diet
   optimization methods can help translate dietary guidelines into a cancer
   prevention food plan. J Nutr. 2009;139:1541–8.


3. Okubo H, Sasaki S, Murakami K, et al. Designing optimal food intake patterns to achieve nutritional goals for Japanese adults through the use of linear programming optimization models. Nutr J. 2015;14:57.

The three papers listed are using similar methodologies. But, I just don't understand why all of them stating they divide the observed values as referring to standardizing difference across foods? What does that mean? What's the difference between both equations?

Equation (Okubo 2015):

Y = sum [Xi (opt) - Xi (obs)]/ Xi (obs)
subject to constraints

Equation (Masset 2009):

Y = sum [Xi (obs) - Xi (opt)]/ Xi (obs)
subject to constraints

Picture attached is cropped from Okubo 2015

Thank you very much.

Okubo 2015

linear-programming

share|cite|improve this question

edited Mar 11 at 12:56

YuiTo Cheng

2,0592637

asked Mar 11 at 11:26

KerryKerry

1

New contributor

Kerry is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

edited Mar 11 at 12:56

YuiTo Cheng

2,0592637

asked Mar 11 at 11:26

KerryKerry

1

New contributor

Kerry is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

edited Mar 11 at 12:56

YuiTo Cheng

2,0592637

asked Mar 11 at 11:26

KerryKerry

1

New contributor

Kerry is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

edited Mar 11 at 12:56

YuiTo Cheng

2,0592637

edited Mar 11 at 12:56

YuiTo Cheng

2,0592637

asked Mar 11 at 11:26

KerryKerry

1

New contributor

Kerry is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 11 at 11:26

KerryKerry

1