Dimensioning of a mobile phone network

    {  Exmpl12.2-1_MobileNtwkDimensioning.mpl  }

    {  Applications of Optimization with Xpress-MP  }

    {  Chapter 12.2, Dimensioning of a Mobile Phone Network,  Size: 11x50,  Page 242 }


TITLE
    MobileNetworkDimensioning;

INDEX
    hub := 1..4;

DATA
    Mtso := 5;

INDEX
    node := 1..Mtso;
    cell := 1..10;

DATA
    Cap := 48;
    Cost[node,cell] := (15, 9,12,17, 8, 7,19,20,21,25,
                         8,11, 6, 5,22,25,25, 9,22,24,
                         7, 8, 7, 9,21,15,21,15,14,13,
                        11, 5,15,18,19, 9,20,18,16, 4,
                        10,14,15,24, 6,17,22,25,20,11);
    Traf[cell]      := (22,12,20,12,15,25,15,14, 8,22);
    Cnct[cell]      := ( 2, 2, 2, 2, 3, 1, 3, 2, 2, 2);

VARIABLE
    Connect[cell,node];

MODEL

    MIN TotCost = SUM(cell,node: Cost * Connect);

SUBJECT TO

    ConnectionPerCell[cell] -> CPC:
        SUM(node: Connect) = Cnct;

    RingCapacity -> RCAP:
        SUM(cell,node=1..4: Connect * Traf/Cnct) <= 2 * Cap;

BINARY
    Connect;

END