This problem deals with map coloring. You need to use no more than 4 colors (blue, red, green, or yellow) to color six European countries: Belgium, Denmark, France, Germany, Luxembourg, and the Netherlands in such a way that no neighboring countries use the same color. Here is a decision model for DMCommunity.org challenge “Map Coloring“.
As usual, we start with the Glossary:
All 6 unknown decision variables could take different colors from 1 to 4.
The method “Define” simply posts constraints preventing neighboring countries from using the same colors:
The method “Solve” calls the predefined method “SolverFindSolution”:
To execute this decision model, click on “test.bat” to receive the following results: Netherlands[1] Belgium[2] Luxembourg[1] Denmark[1] France[3] Germany[4].
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