!Keyword: Distribution / Equilibrium / Geographic / Network / Shipping / Transportation;
MIN 20 AB2 + 30 AB3 + 40 AB4 + 52 AC2 + 53 AC3 + 54 AC4 + 12 BC2
+ 13 BC3 + 14 BC4 + 52 BD2 + 53 BD3 + 54 BD4 + 20 CD2 + 30 CD3
+ 40 CD4 !Minimize congestion costs of each incremental unit;
SUBJECT TO
2) - AB2 - AB3 - AB4 + AB = 0 !Definition of AB
3) - AC2 - AC3 - AC4 + AC = 0
4) - BC2 - BC3 - BC4 + BC = 0 ! etc.
5) - BD2 - BD3 - BD4 + BD = 0
6) - CD2 - CD3 - CD4 + CD = 0
7) AB + AC = 6 !Flow out of A
8) AB - BC - BD = 0 !Flow through B
9) AC + BC - CD = 0 !Flow through C
10) BD + CD = 6 !Flow into D
11) AB2 <= 2 !Definition of the steps in
12) AB3 <= 1 !supply cost schedule
13) AB4 <= 1
14) AC2 <= 2
15) AC3 <= 1
16) AC4 <= 1
17) BC2 <= 2
18) BC3 <= 1
19) BC4 <= 1
20) BD2 <= 2
21) BD3 <= 1
22) BD4 <= 1
23) CD2 <= 2
24) CD3 <= 1
25) CD4 <= 1
END
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