| CaseStudyForm | |
|---|---|
| Title | The Herd Feeding Problem |
| DateSubmitted | 18 Feb 2008 |
| OperationsResearchTopics | LinearProgramming, BlendingModels |
| ApplicationAreas | Farm Management |
| 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.,
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 |
| ProblemFormulation | Teaching Case Study: Student to complete |
| ComputationalModel | Teaching Case Study: Student to complete |
| Results | Teaching Case Study: Student to complete |
| Conclusions | Teaching Case Study: Student to complete |
| ExtraForExperts | |
| 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.
|
| I | Attachment | History | Action | Size | Date | Who | Comment |
|---|---|---|---|---|---|---|---|
| |
feed_solution.jpg | r1 | manage | 14.9 K | 2008-02-18 - 10:16 | LaurenJackson | |
| |
feed_table.jpg | r1 | manage | 30.2 K | 2008-02-18 - 10:16 | LaurenJackson | |
| |
milk_table.jpg | r1 | manage | 9.5 K | 2008-02-18 - 10:16 | LaurenJackson |