# Difference: CokeSupplyChain (18 vs. 19)

#### Revision 192009-10-06 - MichaelOSullivan

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# Case Study: The Coke Supply Chain Problem

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 FORM FIELD ComputationalModel FORM FIELD Results ComputationalModel The computational model... Results The results... Conclusions In conclusion...
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|*FORM FIELD ExtraForExperts*|ExtraForExperts|This problem is similar to the Cosmic Computers Problem, but the facility location is a little different. Rather than face a decision about whether to build a plant or not, we need to determine what type of plant to build. This gives rise to the following variable:

While solving the Coke Supply Chain Problem, the expression

will often be fractional. This means that the capacity of the plant
where is the capacity of a plant of size will be between the capacities of two different size plants, e.g., 280 kT/yr is between 225 kT/yr plant and a 300 kT/yr plant. We could use constraints to remove the fractionality, e.g.,

These branches will ensure plants have the right capacities, but will still not resolve fractionalities in the . However, if we want the capacity of plant to be 225, then we can remove all the that allow for the capacity to be larger than 225:

Conversely, if we want to branch up, i.e., the capacity is 300, then we can remove all the that allow the capacity to be smaller than 300:

Note For these branches to work properly, the possibility of building no plant must be modeled as building a plant with no capacity (i.e., = 0) for no cost. |

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|*FORM FIELD ExtraForExperts*|ExtraForExperts|This problem is similar to the Cosmic Computers Problem, but the facility location is a little different. Rather than face a decision about whether to build a plant or not, we need to determine what type of plant to build. This gives rise to the following variable:

While solving the Coke Supply Chain Problem, the expression

will often be fractional. This means that the capacity of the plant
where is the capacity of a plant of size will be between the capacities of two different size plants, e.g., 280 kT/yr is between 225 kT/yr plant and a 300 kT/yr plant. We could use constraints to remove the fractionality, e.g.,

These branches will ensure plants have the right capacities, but will still not resolve fractionalities in the . However, if we want the capacity of plant to be 225, then we can remove all the that allow for the capacity to be larger than 225:

Conversely, if we want to branch up, i.e., the capacity is 300, then we can remove all the that allow the capacity to be smaller than 300:

Note For these branches to work properly, the possibility of building no plant must be modelled as building a plant with no capacity (i.e., = 0) for no cost. |

1. Write AMPL model, data and script files (coke.mod, coke.dat and coke.run respectively) to solve the Coke Production Problem. Write a management summary for your solution.