Distribution 1: Which Factories and Depots to Supply Which Customers

The following data sets contain the input data that are used in this example:

data arc_data;
   input j $11. i $11. cost;
   datalines;
Newcastle  Liverpool  0.5
Birmingham Liverpool  0.5
Birmingham Brighton   0.3
London     Liverpool  1.0
London     Brighton   0.5
Exeter     Liverpool  0.2
Exeter     Brighton   0.2
C1         Liverpool  1.0
C1         Brighton   2.0
C1         Birmingham 1.0
C2         Newcastle  1.5
C2         Birmingham 0.5
C2         London     1.5
C3         Liverpool  1.5
C3         Newcastle  0.5
C3         Birmingham 0.5
C3         London     2.0
C3         Exeter     0.2
C4         Liverpool  2.0
C4         Newcastle  1.5
C4         Birmingham 1.0
C4         Exeter     1.5
C5         Birmingham 0.5
C5         London     0.5
C5         Exeter     0.5
C6         Liverpool  1.0
C6         Newcastle  1.0
C6         London     1.5
C6         Exeter     1.5
;

data customer_data;
   input customer $ demand;
   datalines;
C1 50000
C2 10000
C3 40000
C4 35000
C5 60000
C6 20000
;

data factory_data;
   input factory $10. capacity;
   datalines;
Liverpool 150000
Brighton  200000
;

data depot_data;
   input depot $11. throughput;
   datalines;
Newcastle   70000
Birmingham  50000
London     100000
Exeter      40000
;

data preferred_arc_data;
   input j $ i $11.;
   datalines;
C1 Liverpool
C2 Newcastle
C5 Birmingham
C6 Exeter
C6 London
;