Revision 162009-10-06 - MichaelOSullivan

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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:

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<

|*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.

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).

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.

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.

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).

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.

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

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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.

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).

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.

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.

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).

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.

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

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META TOPICPARENT	name="SubmitCaseStudy"

<-- Ready to Review -->

Line: 40 to 40

Return to top

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Computational Model

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Computational Model

Teaching Case Study: Student to complete

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Results

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Results

Teaching Case Study: Student to complete

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Conclusions

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Conclusions

Teaching Case Study: Student to complete

Revision 132008-03-09 - MichaelOSullivan

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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.

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).

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 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.

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).

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.

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

  META TOPICPARENT 
 name="SubmitCaseStudy" 

<-- Ready to Review -->
- META TOPICPARENT
+ name="SubmitCaseStudy"
  Operations Research Topics: LinearProgramming, BlendingModels 
 Application Areas: Farm Management 
 Contents
-<
<
+ Problem Description
 Problem Formulation
 Computational Model
 Results
 Conclusions
->
>
+ Problem Description
 Problem Formulation
 Computational Model
 Results
 Conclusions
   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.



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).



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.



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
-<
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+Teaching Case Study: Student to complete
->
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+Teaching Case Study: Student to complete
 Return to top

  Computational Model
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+Teaching Case Study: Student to complete
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+Teaching Case Study: Student to complete
 Return to top

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+Teaching Case Study: Student to complete
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+Teaching Case Study: Student to complete
 Return to top

  Conclusions
-<
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+Teaching Case Study: Student to complete
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+Teaching Case Study: Student to complete
 Return to top
-<
<
->
>
+<--

-->
-<
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->
>
+<--

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

  META TOPICPARENT 
 name="SubmitCaseStudy" 

<-- Ready to Review -->
- META TOPICPARENT
+ name="SubmitCaseStudy"
  Operations Research Topics: LinearProgramming, BlendingModels 
 Application Areas: Farm Management 
 Contents
-<
<
+ Problem Description 
  Problem Formulation   * Computational Model    * Results   * Conclusions
->
>
+ Problem Description
 Problem Formulation
 Computational Model
 Results
 Conclusions
   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.



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).



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.



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
->
>
+  Problem Formulation
 Teaching Case Study: Student to complete

Return to top
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+ Computational Model
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+  Computational Model
 Teaching Case Study: Student to complete

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+ Results
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+  Results
 Teaching Case Study: Student to complete

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+ Conclusions
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+  Conclusions
 Teaching Case Study: Student to complete

Revision 102008-02-29 - TWikiAdminUser

  META TOPICPARENT 
 name="SubmitCaseStudy" 

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

 Computational Model
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+Teaching Case Study: Student to complete
 Return to top

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+Teaching Case Study: Student to complete
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 Conclusions
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+'Teaching Case Study: Student to complete'
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+Teaching Case Study: Student to complete
 Return to top
-<
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->
>

Revision 92008-02-29 - TWikiAdminUser

  META TOPICPARENT 
 name="SubmitCaseStudy" 

<-- Ready to Review -->
- META TOPICPARENT
+ name="SubmitCaseStudy"
  Application Areas: Farm Management 
 Contents 
 
 Problem Description
-<
<
+ Problem Formulation   * Computational Model    * Results   * Conclusions   * Extra for Experts   * StudentTasks
->
>
+ Problem Formulation   * Computational Model    * Results   * Conclusions
   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.



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).



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.



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
->
>
+ Problem Formulation
-<
<
+Teaching Case Study: Student to complete
->
>
+'Teaching Case Study: Student to complete'
-<
<
+Return to top
  Computational Model
->
>
+Return to top
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<
+Teaching Case Study: Student to complete
->
>
+ Computational Model
-<
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+Return to top
  Results
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+'Teaching Case Study: Student to complete'
-<
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+Teaching Case Study: Student to complete
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+Return to top
-<
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+Return to top
  Conclusions
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>
+ Results
-<
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+Teaching Case Study: Student to complete
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+'Teaching Case Study: Student to complete'
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+Return to top
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+Return to top

 Conclusions

'Teaching Case Study: Student to complete'

Return to top
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+  Student Tasks
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+. 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.
->
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-<
<
+Return to top
->
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  META FORM 
 name="OpsRes.CaseStudyForm" 


 FORM FIELD Title 
 Title 
 The Herd Feeding Problem
- META FORM
+ name="OpsRes.CaseStudyForm"
- FORM FIELD Title
+ The Herd Feeding Problem

Revision 82008-02-29 - TWikiAdminUser

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META TOPICPARENT	name="SubmitCaseStudy"

<-- Ready to Review -->

Line: 27 to 27

Application Areas: Farm Management

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.

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).

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.|

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.

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 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.

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).

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	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

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META TOPICPARENT	name="SubmitCaseStudy"

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Revision 42008-02-24 - MichaelOSullivan

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META TOPICPARENT	name="SubmitCaseStudy"

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Line: 31 to 31

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StudentTasks

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>

StudentTasks

Problem Description

Line: 73 to 72

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META FORM	name="OpsRes.CaseStudyForm"

Changed:

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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.

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 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.

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	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.

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:

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META TOPICMOVED	by="MichaelOSullivan" date="1203845008" from="OpsRes.FeedingTheHerd" to="OpsRes.HerdFeedingProblem"

Revision 32008-02-23 - MichaelOSullivan

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META TOPICPARENT	name="SubmitCaseStudy"

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Revision 22008-02-18 - LaurenJackson

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META TOPICPARENT	name="SubmitCaseStudy"

Revision 12008-02-18 - LaurenJackson

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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

Set VIEW_TEMPLATE = CaseStudyView

Comment out the next line to use the TWiki default edit

Set EDIT_TEMPLATE = CaseStudyEdit

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This topic can only be changed by: 
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Case Study: The Herd Feeding Problem

Submitted: 18 Feb 2008

Operations Research Topics: LinearProgramming, BlendingModels

Application Areas: Farm Management

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.

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).

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.

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_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"

View topic | History: r16 < r15 < r14 < r13 | More topic actions...

Difference: HerdFeedingProblem (1 vs. 16)

Revision 162009-10-06 - MichaelOSullivan

Revision 152009-09-28 - MichaelOSullivan

Revision 142008-04-02 - MichaelOSullivan

Computational Model

Computational Model

Results

Results

Conclusions

Conclusions

Revision 132008-03-09 - MichaelOSullivan

Revision 122008-03-01 - TWikiAdminUser

Operations Research Topics: LinearProgramming, BlendingModels

Application Areas: Farm Management

Contents

Problem Description

Problem Formulation

Computational Model

Results

Conclusions

Revision 112008-03-01 - TWikiAdminUser

Operations Research Topics: LinearProgramming, BlendingModels

Application Areas: Farm Management

Contents

Problem Description

Problem Formulation

Computational Model

Results

Conclusions

Revision 102008-02-29 - TWikiAdminUser

Revision 92008-02-29 - TWikiAdminUser

Application Areas: Farm Management

Contents

Problem Description

Problem Formulation

Computational Model

Results

Conclusions

Student Tasks

Revision 82008-02-29 - TWikiAdminUser

Application Areas: Farm Management

Contents

Problem Description

Revision 72008-02-29 - TWikiAdminUser

Revision 62008-02-25 - TWikiAdminUser

Revision 52008-02-24 - MichaelOSullivan

Revision 42008-02-24 - MichaelOSullivan

Problem Description

Revision 32008-02-23 - MichaelOSullivan

Revision 22008-02-18 - LaurenJackson

Revision 12008-02-18 - LaurenJackson

Case Study: The Herd Feeding Problem

Submitted: 18 Feb 2008

Operations Research Topics: LinearProgramming, BlendingModels

Application Areas: Farm Management

Contents

Problem Description

Problem Formulation

Computational Model

Results

Conclusions

Student Tasks