MODEL:

! Data Envelope Analysis of Decision Maker Efficiency;

SETS:

DMU/BL HW NT OP YK EL/: ! Six schools;

SCORE; ! Each decision making unit has a;! score to be computed;

FACTOR/COST RICH WRIT SCIN/;

! There is a set of factors, input & output;

DXF( DMU, FACTOR):
F; ! F( I, J) = Jth factor
of DMU I;

! Weights used to compute DMU I's score;

DXFXD(DMU,FACTOR) : W;

ENDSETS

DATA:

! Inputs are spending/pupil, % not low income;

! Outputs are Writing score and Science score;

NINPUTS = 2;
! The first NINPUTS factors are inputs;

!
The inputs,
the outputs;

!cost
rich
writ
scin;

F=
8939
64.3
25.2
223
!BL;

8625
99
28.2
287
!HW;

10813
99.6
29.4
317
!NT;

10638
96
26.4
291
!OP;

6240
96.2
27.2
295
!YK;

4719
79.9
25.5
222;
!EL;

ENDDATA

! Try to make everyone's score as high as possible;

MAX = @SUM( DMU: SCORE);

! The LP for each DMU to get its score;

@FOR( DMU( I):

SCORE( I) = @SUM( FACTOR(J)|J #GT# NINPUTS:

F(I, J)* W(I, J));

! Sum of inputs(denominator) = 1;

@SUM( FACTOR( J)| J #LE# NINPUTS:

F( I, J)* W( I, J)) = 1;

! Using DMU I's weights, no DMU can score better than 1;

@FOR( DMU( K):

@SUM( FACTOR( J)| J #GT# NINPUTS:

F( K, J) * W( I, J))

<= @SUM( FACTOR( J)| J #LE# NINPUTS:

F( K, J) * W( I, J))

)

);

! The weights must be greater than zero;

@FOR( DXFXD( I, J): @BND( .00001, X, 100000));

END