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Description
In this model we have a set of contracts, where every contract represents an amount of commodity that has to be supplied. The objective is to determine which of the producers will take care of which contract such that the total costs are minimal, under the following conditions:
- The demand for every contract is met.
- The amount supplied by each producer does not exceed the total amount available for supply.
- If a producer supplies a part of a contract then this contribution has a given minimal size.
- There is a minimal number of suppliers for every contract.
- The total cost associated with all the deliveries is minimal.
In this example we used 10 northwestern states of the USA for the contracts and 5 cities from that region for the producers.
The results are displayed in a bar chart.
This AIMMS project illustrates the use of a semi-continuous variable. A semi-continuous variable is either zero or within a certain range. This type of variables can be used in conditions like, whenever there is a transport this transport has a minimum size.
Keywords
Semi-continuous variables, Bar Chart, Table, Colors
Industries
Model Types
Download AIMMS Example
You can download an AIMMS example dealing with this problem via the link below, and run it after installing the AIMMS software. If you don't have an AIMMS license yet, you can download a free license of AIMMS.
ftp://ftp.aimms.com/pub/Download/Examples/Contract Allocation.aimmspack
Please make sure to save this file including the .aimmspack extension so that it can be opened by AIMMS.
This example application is a simplification of reality. Please do not hesitate to contact us to discuss how AIMMS enables you to build a complete optimization application that captures the full complexity of your problem.
Screenshot AIMMS Example
