On-the-Job Training

    {  Jobt.mpl  }

    {  GAMS Model Library, http://www.gams.com/modlib/libhtml/jobt.htm  }

    {  On-the-Job Training , Worker Allocation, Size: 15 x 30 }


TITLE
    Jobtraining;

OPTIONS
    Parsertype=Extended

INDEX
    t := 1..5;

DATA
    Rho   := 8;
    Alpha := 6;
    Wage  := (100);
    Si[t=1] := (10);
    Wi[t=1] := (20);
    Sf[t=5] := (100);
    D[t]  := 100 * (1,2,3,4,2);

VARIABLES
    P[t];
    S[t];
    U[t];
    W[t];
    H[t];
    F[t];


MODEL

    MIN Phi = SUM(t: 10 * S + 30 * U + (Wage + Sf) * W);


SUBJECT TO

    Cb[t]: S[t-1] + P - D - U[t-1] + U + Si = S;

    Wb[t]: W[t-1] - F + H + Wi = W;

    Wd[t]: P / Rho + (1 + 1 / Alpha) * H <= W;


END