Q: A plant wants to market its products by depots. In order to do that 4 possible
different regions is determined to open a depot and transportation costs
between depots and centers that products will be distributed to, is calculated.
Capacity of the depots, demands of the centers, cost of opening a depot and unit
transportation costs is given below in table.
D1
D2
D3
D4
Demand
C1
8
3
7
2
150
C2
6
4
1
9
200
C3
1
3
5
7
100
C4
2
8
10
3
250
Capacity
700
700
700
700
Opening cost
100
180
120
140
Beside the information above, there are some additional demands of the plant. If
they will be opened, either depot 1 or depot 3 should be opened. If depot 2 will
be opened, depot 4 should be opened as well. Also at most 3 depots should be
opened.
a)
Formulate a mathematical model that minimizes total transportation and
depot opening cost and determines which depots should be opened and
distribution plan.
b)
Solve the problem with GAMS.
Note: You should send GAMS code and the solution of the problem via e-mail.
Email: bicmen@anadolu.edu.tr