ÐÏࡱá>þÿ þÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot Entryÿÿÿÿÿÿÿÿ*0_šîÏ»òÀð^ð,·÷(ÆþÿÿÿContentsÿÿÿÿÿÿÿÿÿÿÿÿ¤ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÿÿýÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot Entryÿÿÿÿÿÿÿÿ*0_šîÏ»òÀð^0còûö(ÆþÿÿÿContentsÿÿÿÿÿÿÿÿÿÿÿÿŠÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÿÿýÿÿÿ þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿì‹{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fmodern Courier New;}} {\colortbl\red0\green0\blue0;\red0\green0\blue255;\red0\green175\blue0;} \deflang1033\pard\plain\f2\fs20\cf2 ! Data Envelopment Analysis of Decision Maker Efficiency ;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 ! Keywords: DEA, Data Envelopment Analysis;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 SETS\plain\f2\fs20\cf0 : \par DMU: \plain\f2\fs20\cf2 !The decisionmaking units;\plain\f2\fs20\cf0 \par SCORE; \plain\f2\fs20\cf2 ! Each decision making unit has a \par score to be computed;\plain\f2\fs20\cf0 \par FACTOR: TW; \par \plain\f2\fs20\cf2 ! There is a set of factors, input & output;\plain\f2\fs20\cf0 \par DXF( DMU, FACTOR): F, \plain\f2\fs20\cf2 ! F( I, J) = Jth factor of DMU I;\plain\f2\fs20\cf0 \par W; \plain\f2\fs20\cf2 ! Weights used to compute DMU I's score;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 ENDSETS\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 DATA\plain\f2\fs20\cf0 : \par DMU = BL HW NT OP YK EL; \par \plain\f2\fs20\cf2 ! Inputs are spending/pupil, % not low income;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 ! Outputs are Writing score and Science score;\plain\f2\fs20\cf0 \par NINPUTS = 2; \plain\f2\fs20\cf2 ! The first NINPUTS factors are inputs;\plain\f2\fs20\cf0 \par FACTOR= COST RICH WRIT SCIN; \par \plain\f2\fs20\cf2 ! The inputs, the outputs;\plain\f2\fs20\cf0 \par F = 89.39 64.3 25.2 223 \par 86.25 99 28.2 287 \par 108.13 99.6 29.4 317 \par 106.38 96 26.4 291 \par 62.40 96.2 27.2 295 \par 47.19 79.9 25.5 222; \par WGTMIN = .0005; \plain\f2\fs20\cf2 ! Min weight applied to every factor;\plain\f2\fs20\cf0 \par BIGM = 999999; \plain\f2\fs20\cf2 ! Biggest a weight can be;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 ENDDATA\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 !----------------------------------------------------------;\plain\f2\fs20\cf0 \par \par \plain\f2\fs20\cf2 ! The Model;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 ! SUBMODEL Dea: \par ! IU = DMU we are currently considering;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 ! Try to make the score of DMU IU as high as possible;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 MAX\plain\f2\fs20\cf0 = TSCORE; \par TSCORE = \plain\f2\fs20\cf1 @SUM\plain\f2\fs20\cf0 ( FACTOR(J)|J #GT# NINPUTS: \par F(INOW, J)* TW( J)); \par \par \plain\f2\fs20\cf2 ! Sum of inputs(denominator) = 1;\plain\f2\fs20\cf0 \par [SUM21] \plain\f2\fs20\cf1 @SUM\plain\f2\fs20\cf0 ( FACTOR( J)| J #LE# NINPUTS: \par F( INOW, J)* TW( J)) = 1; \par \par \plain\f2\fs20\cf2 ! Using DMU IU's weights, no DMU can score better than 1 \par Note, Numer/Denom <= 1 implies Numer <= Denom;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 @FOR\plain\f2\fs20\cf0 ( DMU( K): \par [LE1] \plain\f2\fs20\cf1 @SUM\plain\f2\fs20\cf0 ( FACTOR( J)| J #GT# NINPUTS: F( K, J) * TW( J)) \par <= \plain\f2\fs20\cf1 @SUM\plain\f2\fs20\cf0 ( FACTOR( J)| J #LE# NINPUTS: F( K, J) * TW( J)) \par ); \par \par \plain\f2\fs20\cf2 ! The weights must be greater than zero;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 @FOR\plain\f2\fs20\cf0 ( FACTOR( J): \plain\f2\fs20\cf1 @BND\plain\f2\fs20\cf0 ( WGTMIN, TW, BIGM)); \par \plain\f2\fs20\cf2 !ENDSUB;\plain\f2\fs20\cf0 \par \par \plain\f2\fs20\cf1 CALC\plain\f2\fs20\cf0 : \par \par \plain\f2\fs20\cf1 @SET\plain\f2\fs20\cf0 ( 'TERSEO', 1); \par \plain\f2\fs20\cf1 @SET\plain\f2\fs20\cf0 ( 'STAWIN', 0); \par \par \plain\f2\fs20\cf2 ! Solve the DEA model for every DMU;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 @FOR\plain\f2\fs20\cf0 ( DMU( IU): \par INOW = IU; \par \plain\f2\fs20\cf1 @SOLVE\plain\f2\fs20\cf0 (); \par \plain\f2\fs20\cf2 ! Store the results;\plain\f2\fs20\cf0 \par SCORE( IU) = TSCORE; \par \plain\f2\fs20\cf1 @FOR\plain\f2\fs20\cf0 ( FACTOR( J): \par W(IU,J) = TW( J) \par ); \par ); \par \plain\f2\fs20\cf1 ENDCALC\plain\f2\fs20\cf0 \par \par \plain\f2\fs20\cf1 DATA\plain\f2\fs20\cf0 : \par \plain\f2\fs20\cf1 @TEXT\plain\f2\fs20\cf0 () = \plain\f2\fs20\cf1 @WRITE\plain\f2\fs20\cf0 ( \plain\f2\fs20\cf1 @NEWLINE\plain\f2\fs20\cf0 ( 2), \par 32*' ','Factor Weight:', \plain\f2\fs20\cf1 @NEWLINE\plain\f2\fs20\cf0 ( 1), \par ' DMU Score', \plain\f2\fs20\cf1 @WRITEFOR\plain\f2\fs20\cf0 ( FACTOR( F): ' ', FACTOR( F)), \plain\f2\fs20\cf1 @NEWLINE\plain\f2\fs20\cf0 ( 1) \par ); \par \plain\f2\fs20\cf1 @TEXT\plain\f2\fs20\cf0 () = \plain\f2\fs20\cf1 @WRITEFOR\plain\f2\fs20\cf0 ( DMU( D): ' ', DMU( D), ' ', \par \plain\f2\fs20\cf1 @FORMAT\plain\f2\fs20\cf0 ( SCORE( D), '6.3f'), ' ', \par \plain\f2\fs20\cf1 @WRITEFOR\plain\f2\fs20\cf0 ( FACTOR( F): \par \plain\f2\fs20\cf1 @FORMAT\plain\f2\fs20\cf0 ( W( D, F), '8.4f'), ' ' \par ), \par \plain\f2\fs20\cf1 @NEWLINE\plain\f2\fs20\cf0 ( 1)); \par \plain\f2\fs20\cf1 ENDDATA\plain\f2\fs20\cf0 \par \par } ì‹{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fmodern Courier New;}{\f3\fswiss\fprq2 System;}} {\colortbl\red0\green0\blue0;\red0\green175\blue0;\red0\green0\blue255;} \deflang1033\pard\plain\f2\fs20\cf1 ! Data Envelopment Analysis of Decision Maker Efficiency ;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 ! Keywords: DEA, Data Envelopment Analysis;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 SETS\plain\f2\fs20\cf0 : \par DMU: \plain\f2\fs20\cf1 !The decisionmaking units;\plain\f2\fs20\cf0 \par SCORE; \plain\f2\fs20\cf1 ! Each decision making unit has a \par score to be computed;\plain\f2\fs20\cf0 \par FACTOR: TW; \par \plain\f2\fs20\cf1 ! There is a set of factors, input & output;\plain\f2\fs20\cf0 \par DXF( DMU, FACTOR): F, \plain\f2\fs20\cf1 ! F( I, J) = Jth factor of DMU I;\plain\f2\fs20\cf0 \par W; \plain\f2\fs20\cf1 ! Weights used to compute DMU I's score;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 ENDSETS\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 DATA\plain\f2\fs20\cf0 : \par DMU = BL HW NT OP YK EL; \par \plain\f2\fs20\cf1 ! Inputs are spending/pupil, % not low income;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 ! Outputs are Writing score and Science score;\plain\f2\fs20\cf0 \par NINPUTS = 2; \plain\f2\fs20\cf1 ! The first NINPUTS factors are inputs;\plain\f2\fs20\cf0 \par FACTOR= COST RICH WRIT SCIN; \par \plain\f2\fs20\cf1 ! The inputs, the outputs;\plain\f2\fs20\cf0 \par F = 89.39 64.3 25.2 223 \par 86.25 99 28.2 287 \par 108.13 99.6 29.4 317 \par 106.38 96 26.4 291 \par 62.40 96.2 27.2 295 \par 47.19 79.9 25.5 222; \par WGTMIN = .0005; \plain\f2\fs20\cf1 ! Min weight applied to every factor;\plain\f2\fs20\cf0 \par BIGM = 999999; \plain\f2\fs20\cf1 ! Biggest a weight can be;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 ENDDATA\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 !----------------------------------------------------------;\plain\f2\fs20\cf0 \par \par \plain\f2\fs20\cf1 ! The Model;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 ! SUBMODEL Dea: \par ! IU = DMU we are currently considering;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf1 ! Try to make the score of DMU IU as high as possible;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 MAX\plain\f2\fs20\cf0 = TSCORE; \par TSCORE = \plain\f2\fs20\cf2 @SUM\plain\f2\fs20\cf0 ( FACTOR(J)|J #GT# NINPUTS: \par F(INOW, J)* TW( J)); \par \par \plain\f2\fs20\cf1 ! Sum of inputs(denominator) = 1;\plain\f2\fs20\cf0 \par [SUM21] \plain\f2\fs20\cf2 @SUM\plain\f2\fs20\cf0 ( FACTOR( J)| J #LE# NINPUTS: \par F( INOW, J)* TW( J)) = 1; \par \par \plain\f2\fs20\cf1 ! Using DMU IU's weights, no DMU can score better than 1 \par Note, Numer/Denom <= 1 implies Numer <= Denom;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 @FOR\plain\f2\fs20\cf0 ( DMU( K): \par [LE1] \plain\f2\fs20\cf2 @SUM\plain\f2\fs20\cf0 ( FACTOR( J)| J #GT# NINPUTS: F( K, J) * TW( J)) \par <= \plain\f2\fs20\cf2 @SUM\plain\f2\fs20\cf0 ( FACTOR( J)| J #LE# NINPUTS: F( K, J) * TW( J)) \par ); \par \par \plain\f2\fs20\cf1 ! The weights must be greater than zero;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 @FOR\plain\f2\fs20\cf0 ( FACTOR( J): \plain\f2\fs20\cf2 @BND\plain\f2\fs20\cf0 ( WGTMIN, TW, BIGM)); \par \plain\f2\fs20\cf1 !ENDSUB;\plain\f2\fs20\cf0 \par \par \plain\f2\fs20\cf2 CALC\plain\f2\fs20\cf0 : \par \par \plain\f2\fs20\cf2 @SET\plain\f2\fs20\cf0 ( 'TERSEO', 2); \par \plain\f2\fs20\cf2 @SET\plain\f2\fs20\cf0 ( 'STAWIN', 0); \par \par \plain\f2\fs20\cf1 ! Solve the DEA model for every DMU;\plain\f2\fs20\cf0 \par \plain\f2\fs20\cf2 @FOR\plain\f2\fs20\cf0 ( DMU( IU): \par INOW = IU; \par \plain\f2\fs20\cf2 @SOLVE\plain\f2\fs20\cf0 (); \par \plain\f2\fs20\cf1 ! Store the results;\plain\f2\fs20\cf0 \par SCORE( IU) = TSCORE; \par \plain\f2\fs20\cf2 @FOR\plain\f2\fs20\cf0 ( FACTOR( J): \par W(IU,J) = TW( J) \par ); \par ); \par \plain\f2\fs20\cf2 ENDCALC\plain\f2\fs20\cf0 \par \par \plain\f2\fs20\cf2 DATA\plain\f2\fs20\cf0 : \par \plain\f2\fs20\cf2 @TEXT\plain\f2\fs20\cf0 () = \plain\f2\fs20\cf2 @WRITE\plain\f2\fs20\cf0 ( \plain\f2\fs20\cf2 @NEWLINE\plain\f2\fs20\cf0 ( 2), \par 32*' ','Factor Weight:', \plain\f2\fs20\cf2 @NEWLINE\plain\f2\fs20\cf0 ( 1), \par ' DMU Score', \plain\f2\fs20\cf2 @WRITEFOR\plain\f2\fs20\cf0 ( FACTOR( F): ' ', FACTOR( F)), \plain\f2\fs20\cf2 @NEWLINE\plain\f2\fs20\cf0 ( 1) \par ); \par \plain\f2\fs20\cf2 @TEXT\plain\f2\fs20\cf0 () = \plain\f2\fs20\cf2 @WRITEFOR\plain\f2\fs20\cf0 ( DMU( D): ' ', DMU( D), ' ', \par \plain\f2\fs20\cf2 @FORMAT\plain\f2\fs20\cf0 ( SCORE( D), '6.3f'), ' ', \par \plain\f2\fs20\cf2 @WRITEFOR\plain\f2\fs20\cf0 ( FACTOR( F): \par \plain\f2\fs20\cf2 @FORMAT\plain\f2\fs20\cf0 ( W( D, F), '8.4f'), ' ' \par ), \par \plain\f2\fs20\cf2 @NEWLINE\plain\f2\fs20\cf0 ( 1)); \par \plain\f2\fs20\cf2 ENDDATA\plain\f2\fs20\cf0 \par \par }