Difference: HerdFeedingProblem (1 vs. 16)

Revision 162009-10-06 - MichaelOSullivan

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 86 to 86
 
FORM FIELD CaseStudyType CaseStudyType DIYCaseStudy
FORM FIELD OperationsResearchTopics OperationsResearchTopics LinearProgramming, BlendingModels
FORM FIELD ApplicationAreas ApplicationAreas Farm Management
Changed:
<
<
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 
FORM FIELD ProblemFormulation ProblemFormulation Teaching Case Study: Student to complete
FORM FIELD ComputationalModel ComputationalModel Teaching Case Study: Student to complete
FORM FIELD Results Results Teaching Case Study: Student to complete

Revision 152009-09-28 - MichaelOSullivan

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 86 to 86
 
FORM FIELD CaseStudyType CaseStudyType DIYCaseStudy
FORM FIELD OperationsResearchTopics OperationsResearchTopics LinearProgramming, BlendingModels
FORM FIELD ApplicationAreas ApplicationAreas Farm Management
Changed:
<
<
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 
FORM FIELD ProblemFormulation ProblemFormulation Teaching Case Study: Student to complete
FORM FIELD ComputationalModel ComputationalModel Teaching Case Study: Student to complete
FORM FIELD Results Results Teaching Case Study: Student to complete

Revision 142008-04-02 - MichaelOSullivan

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 40 to 40
  Return to top
Changed:
<
<

Computational Model

>
>

Computational Model

 

Teaching Case Study: Student to complete

Line: 48 to 48
  Return to top
Changed:
<
<

Results

>
>

Results

 

Teaching Case Study: Student to complete

Line: 56 to 56
  Return to top
Changed:
<
<

Conclusions

>
>

Conclusions

 

Teaching Case Study: Student to complete

Revision 132008-03-09 - MichaelOSullivan

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 86 to 86
 
FORM FIELD CaseStudyType CaseStudyType DIYCaseStudy
FORM FIELD OperationsResearchTopics OperationsResearchTopics LinearProgramming, BlendingModels
FORM FIELD ApplicationAreas ApplicationAreas Farm Management
Changed:
<
<
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 
FORM FIELD ProblemFormulation ProblemFormulation Teaching Case Study: Student to complete
FORM FIELD ComputationalModel ComputationalModel Teaching Case Study: Student to complete
FORM FIELD Results Results Teaching Case Study: Student to complete
FORM FIELD Conclusions Conclusions Teaching Case Study: Student to complete
FORM FIELD ExtraForExperts ExtraForExperts
Changed:
<
<
|*FORM FIELD StudentTasks*|StudentTasks|
1. Write AMPL files herd.mod, herd.dat and herd.run to solve find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

|
>
>
|*FORM FIELD StudentTasks*|StudentTasks|
1. Write AMPL files herd.mod, herd.dat and herd.run to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

|
 
META FILEATTACHMENT attachment="feed_solution.jpg" attr="h" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="feed_table.jpg" attr="h" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="milk_table.jpg" attr="h" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"

Revision 122008-03-01 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 26 to 26
 

Operations Research Topics: LinearProgramming, BlendingModels

Application Areas: Farm Management

Contents

Changed:
<
<
>
>
 

Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

Line: 36 to 34
 Return to top

Problem Formulation

Changed:
<
<
Teaching Case Study: Student to complete
>
>
Teaching Case Study: Student to complete
  Return to top

Computational Model

Changed:
<
<
Teaching Case Study: Student to complete
>
>
Teaching Case Study: Student to complete
  Return to top

Results

Changed:
<
<
Teaching Case Study: Student to complete
>
>
Teaching Case Study: Student to complete
  Return to top

Conclusions

Changed:
<
<
Teaching Case Study: Student to complete
>
>
Teaching Case Study: Student to complete
  Return to top

Changed:
<
<
>
>
<--

-->

 

Changed:
<
<
>
>
<--
1. Write AMPL files herd.mod, herd.dat and herd.run to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

-->
 

Revision 112008-03-01 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 26 to 26
 

Operations Research Topics: LinearProgramming, BlendingModels

Application Areas: Farm Management

Contents

Changed:
<
<
>
>
 

Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

Return to top

Changed:
<
<
Problem Formulation
>
>

Problem Formulation

  Teaching Case Study: Student to complete

Return to top

Changed:
<
<
Computational Model
>
>

Computational Model

  Teaching Case Study: Student to complete

Return to top

Changed:
<
<
Results
>
>

Results

  Teaching Case Study: Student to complete

Return to top

Changed:
<
<
Conclusions
>
>

Conclusions

  Teaching Case Study: Student to complete

Revision 102008-02-29 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 36 to 36
 Return to top Problem Formulation
Changed:
<
<
'Teaching Case Study: Student to complete'
>
>
Teaching Case Study: Student to complete
  Return to top

Computational Model

Changed:
<
<
'Teaching Case Study: Student to complete'
>
>
Teaching Case Study: Student to complete
  Return to top

Results

Changed:
<
<
'Teaching Case Study: Student to complete'
>
>
Teaching Case Study: Student to complete
  Return to top

Conclusions

Changed:
<
<
'Teaching Case Study: Student to complete'
>
>
Teaching Case Study: Student to complete
  Return to top

Changed:
<
<
>
>
 

Revision 92008-02-29 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 27 to 27
 

Application Areas: Farm Management

Contents

Changed:
<
<
>
>
 

Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

Return to top

Changed:
<
<

Problem Formulation

>
>
Problem Formulation
 
Changed:
<
<
Teaching Case Study: Student to complete
>
>
'Teaching Case Study: Student to complete'
 
Changed:
<
<
Return to top

Computational Model

>
>
Return to top
 
Changed:
<
<
Teaching Case Study: Student to complete
>
>
Computational Model
 
Changed:
<
<
Return to top

Results

>
>
'Teaching Case Study: Student to complete'
 
Changed:
<
<
Teaching Case Study: Student to complete
>
>
Return to top
 
Changed:
<
<
Return to top

Conclusions

>
>
Results
 
Changed:
<
<
Teaching Case Study: Student to complete
>
>
'Teaching Case Study: Student to complete'
 
Changed:
<
<
Return to top
>
>
Return to top

Conclusions

'Teaching Case Study: Student to complete'

Return to top

 
Changed:
<
<
>
>
 
Changed:
<
<
>
>
 
Changed:
<
<
>
>
 
Changed:
<
<

Student Tasks

>
>
 
Changed:
<
<
1. Write AMPL files herd.mod, herd.dat and herd.run to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

>
>
 
Changed:
<
<
Return to top
>
>
 
META FORM name="OpsRes.CaseStudyForm"
FORM FIELD Title Title The Herd Feeding Problem

Revision 82008-02-29 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 27 to 27
 

Application Areas: Farm Management

Contents

Changed:
<
<
>
>
 

Problem Description

Line: 74 to 70
 
META FORM name="OpsRes.CaseStudyForm"
FORM FIELD Title Title The Herd Feeding Problem
FORM FIELD DateSubmitted DateSubmitted 18 Feb 2008
Added:
>
>
FORM FIELD CaseStudyType CaseStudyType DIYCaseStudy
 
FORM FIELD OperationsResearchTopics OperationsResearchTopics LinearProgramming, BlendingModels
FORM FIELD ApplicationAreas ApplicationAreas Farm Management
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

Revision 72008-02-29 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 83 to 83
 
FORM FIELD Conclusions Conclusions Teaching Case Study: Student to complete
FORM FIELD ExtraForExperts ExtraForExperts
|*FORM FIELD StudentTasks*|StudentTasks|
1. Write AMPL files herd.mod, herd.dat and herd.run to solve find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

|
Changed:
<
<
META FILEATTACHMENT attachment="feed_solution.jpg" attr="" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="feed_table.jpg" attr="" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="milk_table.jpg" attr="" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
>
>
META FILEATTACHMENT attachment="feed_solution.jpg" attr="h" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="feed_table.jpg" attr="h" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="milk_table.jpg" attr="h" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="herd.xls" attr="" comment="" date="1204326061" name="herd.xls" path="herd.xls" size="22528" stream="herd.xls" tmpFilename="" user="BaseUserMapping_333" version="1"
 
META TOPICMOVED by="MichaelOSullivan" date="1203845008" from="OpsRes.FeedingTheHerd" to="OpsRes.HerdFeedingProblem"

Revision 62008-02-25 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Ready to Review -->
Line: 76 to 76
 
FORM FIELD DateSubmitted DateSubmitted 18 Feb 2008
FORM FIELD OperationsResearchTopics OperationsResearchTopics LinearProgramming, BlendingModels
FORM FIELD ApplicationAreas ApplicationAreas Farm Management
Changed:
<
<
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 
FORM FIELD ProblemFormulation ProblemFormulation Teaching Case Study: Student to complete
FORM FIELD ComputationalModel ComputationalModel Teaching Case Study: Student to complete
FORM FIELD Results Results Teaching Case Study: Student to complete

Revision 52008-02-24 - MichaelOSullivan

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
Changed:
<
<
<-- Under Construction -->
>
>
<-- Ready to Review -->
 

Revision 42008-02-24 - MichaelOSullivan

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
<-- Under Construction -->
Line: 31 to 31
 
Changed:
<
<
>
>
 

Problem Description

Line: 73 to 72
 Return to top

META FORM name="OpsRes.CaseStudyForm"
Changed:
<
<
FORM FIELD Title Title FeedingTheHerd
>
>
FORM FIELD Title Title The Herd Feeding Problem
 
FORM FIELD DateSubmitted DateSubmitted 18 Feb 2008
FORM FIELD OperationsResearchTopics OperationsResearchTopics LinearProgramming
FORM FIELD ApplicationAreas ApplicationAreas Farm Management
Changed:
<
<
|*FORM FIELD ProblemDescription*|ProblemDescription|*THE HERD FEEDING PROBLEM*

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

FORM FIELD ProblemFormulation ProblemFormulation The formulation...
FORM FIELD ComputationalModel ComputationalModel The computational model...
FORM FIELD Results Results The results...
FORM FIELD Conclusions Conclusions In conclusion...
>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

FORM FIELD ProblemFormulation ProblemFormulation Teaching Case Study: Student to complete
FORM FIELD ComputationalModel ComputationalModel Teaching Case Study: Student to complete
FORM FIELD Results Results Teaching Case Study: Student to complete
FORM FIELD Conclusions Conclusions Teaching Case Study: Student to complete
 
FORM FIELD ExtraForExperts ExtraForExperts
Changed:
<
<
|*FORM FIELD StudentTasks*|StudentTasks|*STUDENT TASKS*

1. Write AMPL files herd.mod, herd.dat and herd.run to solve The Herd Feeding Problem. Write a management summary of your solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

|
>
>
|*FORM FIELD StudentTasks*|StudentTasks| 1. Write AMPL files herd.mod, herd.dat and herd.run to solve find a feeding solution.
  1. Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.|

 
META FILEATTACHMENT attachment="feed_solution.jpg" attr="" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="feed_table.jpg" attr="" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="milk_table.jpg" attr="" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
Added:
>
>
META TOPICMOVED by="MichaelOSullivan" date="1203845008" from="OpsRes.FeedingTheHerd" to="OpsRes.HerdFeedingProblem"

Revision 32008-02-23 - MichaelOSullivan

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"
Added:
>
>
<-- Under Construction -->
 

Revision 22008-02-18 - LaurenJackson

Line: 1 to 1
 
META TOPICPARENT name="SubmitCaseStudy"

Revision 12008-02-18 - LaurenJackson

Line: 1 to 1
Added:
>
>
META TOPICPARENT name="SubmitCaseStudy"
<--
This template controls both the look and functionality of case study topics.
You should not need to alter the layout, only edit the data using the form above.

Set the view and edit templates: Comment out the next line to use the TWiki default view

Comment out the next line to use the TWiki default edit -->

<--
This topic can only be changed by:  
-->

Case Study: The Herd Feeding Problem

Submitted: 18 Feb 2008

Operations Research Topics: LinearProgramming, BlendingModels

Application Areas: Farm Management

Contents

Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

milk_table.jpg

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

feed_table.jpg

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

feed_solution.jpg

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

Return to top

Problem Formulation

Teaching Case Study: Student to complete

Return to top

Computational Model

Teaching Case Study: Student to complete

Return to top

Results

Teaching Case Study: Student to complete

Return to top

Conclusions

Teaching Case Study: Student to complete

Return to top

Student Tasks

1. Write AMPL files herd.mod, herd.dat and herd.run to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

Return to top

  • feed_solution.jpg:
    feed_solution.jpg

  • feed_table.jpg:
    feed_table.jpg

  • milk_table.jpg:
    milk_table.jpg

META FORM name="OpsRes.CaseStudyForm"
FORM FIELD Title Title FeedingTheHerd
FORM FIELD DateSubmitted DateSubmitted 18 Feb 2008
FORM FIELD OperationsResearchTopics OperationsResearchTopics LinearProgramming
FORM FIELD ApplicationAreas ApplicationAreas Farm Management
|*FORM FIELD ProblemDescription*|ProblemDescription|*THE HERD FEEDING PROBLEM*

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

  • How much milk they want the cows to produce;
  • The price of the various feed types;
  • If the cows are pregnant and how far through their pregnancy are they;
  • How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

FORM FIELD ProblemFormulation ProblemFormulation The formulation...
FORM FIELD ComputationalModel ComputationalModel The computational model...
FORM FIELD Results Results The results...
FORM FIELD Conclusions Conclusions In conclusion...
FORM FIELD ExtraForExperts ExtraForExperts
|*FORM FIELD StudentTasks*|StudentTasks|*STUDENT TASKS*

1. Write AMPL files herd.mod, herd.dat and herd.run to solve The Herd Feeding Problem. Write a management summary of your solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files herd.mod, herd.dat and herd.run. Your management summary.

|
META FILEATTACHMENT attachment="feed_solution.jpg" attr="" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="feed_table.jpg" attr="" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
META FILEATTACHMENT attachment="milk_table.jpg" attr="" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
 
This site is powered by the TWiki collaboration platform Powered by PerlCopyright © 2008-2020 by the contributing authors. All material on this collaboration platform is the property of the contributing authors.
Ideas, requests, problems regarding TWiki? Send feedback