Depot Location

    {  Exmpl10.3-1_DepotLoacation.mpl  }

    {  Applications of Optimization with Xpress-MP  }

    {  Chapter 10.3,  DepotLoacation,  Size: 24x156,  Page 197 }


TITLE
    DepotLoacation;

INDEX
    depot := 1..12;
    cust  := 1..12;

DATA
    M := 10000;
    Cost[depot,cust] := (100, 80, 50, 50, 60,100,120, 90, 60, 70, 65,110,
                         120, 90, 60, 70, 65,110,140,110, 80, 80, 75,130,
                         140,110, 80, 80, 75,130,160,125,100,100, 80,150,
                         160,125,100,100, 80,150,190,150,130,  M,  M,  M,
                         190,150,130,  M,  M,  M,200,180,150,  M,  M,  M,
                         200,180,150,  M,  M,  M,100, 80, 50, 50, 60,100,
                         100, 80, 50, 50, 60,100,120  90, 60, 70, 65,110,
                         120, 90, 60, 70, 65,110,140,110, 80, 80, 75,130,
                         140,110, 80, 80, 75,130,160,125,100,100, 80,150,
                         160,125,100,100, 80,150,190,150,130,  M,  M,  M,
                         190,150,130,  M,  M,  M,200,180,150,  M,  M,  M,
                         200,180,150,  M,  M,  M,100, 80, 50, 50, 60,100);
    Cfix[depot] := 10 * (350,900,1000,400,300,900,900,300,400,1000,900,350);
    Cap[depot]  := (300,250,100,180,275,300,200,220,270,250,230,180);
    Dem[cust]   := (120, 80, 75,100,110,100, 90, 60, 30,150, 95,120);

VARIABLE
    Fflow[depot,cust];
    Build[depot];

MODEL

    MIN TotalCosts = SUM(depot,cust: Cost * Fflow) + SUM(depot: Cfix * Build);

SUBJECT TO

    SatisfyDemand[cust] -> SDEM:
        SUM(depot: Fflow) = 1;

    DepotCapacities[depot] -> DCAP:
        SUM(cust: Dem * Fflow) <= Cap * Build;

BOUNDS
    Fflow <= 1;
BINARY
    Build;
END