Economic Models - Convex Optimization
Economic Models - Convex Optimization
Economic Models - Convex Optimization
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Health Service Management 167<br />
WRITE(out,*)’ Composite index and the final rate of salary increase’<br />
WRITE(out,’(/)’)<br />
Deficit=Total_Deficit*a ; sortR=R ; Salary=Salary_f/members<br />
! Perform ranking operation<br />
CALL SORTQQ(LOC(sortR),groups,SRT$REAL4)<br />
DO i=1,groups<br />
s=R(i)<br />
DO j=1,groups<br />
IF(sortR(j) == s) scores(i)= j<br />
ENDDO ; ENDDO<br />
! Compute composite index<br />
Rsmall=R/100. ; Y=Rsmall*Salary ; s=SUM(Y)<br />
Employees=SUM(Members)<br />
rate=(y*100)/s/100. ; X=rate*deficit/Employees<br />
s=SUM(X)<br />
rate=(x*100.)/s/100. ; s=SUM(X) ; X=rate*Members<br />
s=SUM(X)<br />
Rate=(X*100.)/s/100. ; s=SUM(Rate) ; X=rate*scores<br />
s=SUM(X)<br />
rate=(X*100)/s/100. ; s=SUM(rate) ; X=Deficit*rate<br />
! Compute revised annual rates of salary increase<br />
Y=Salary_f-X<br />
Logvector=(LOG(Y/Salary_in))/ planning_hor<br />
newrate=(EXP(logvector) -1.)*100.<br />
WRITE(out,*) ’ Index Reduction Final Salary New rate’<br />
DO i=1,groups<br />
WRITE(out,’(1X,F9.6,2X,F10.3,4X,F10.2,6X,F6.4)’) Rate(i)&<br />
&, X(i), Y(i), newrate(i)<br />
ENDDO<br />
END<br />
7. Final Results<br />
In the last column of Table 7, the revised coefficients c i are stated. These<br />
new coefficients are to be considered in Eq. (2), and in the corresponding<br />
restrictions seeing in Eq. (6) for the final run. Also, the objective in Eq. (13)<br />
has been slightly reformed as follows:<br />
min z = (10P 1 d1 − + 9P 1d2 − + 8P 1d3 − + 7P 1d4 − + 6P 1d − 5 + 5P 1d6<br />
−<br />
+ 4P 1 d − 7 + 3P 1d − 8 + 2P 1d − 9 + P 1d − 10 ) + (P 2d − 37 + P 2d − 38<br />
+ P 2 d − 39 + 3P 2d − 42 + 2P 2d + 44 ) + P 3<br />
31∑<br />
i=22<br />
di − ∑36<br />
+ P 4<br />
+ (P 5 d − 40 + P 5d − 41 ) + (P 6d − 21 + 2P 6d − 11 + 2P 6d − 12<br />
i=32<br />
+ 3P 6 d − 13 + 4P 6d − 14 + 5P 6d − 15 + 6P 6d − 16 + 7P 6d − 17 + 8P 6d − 18<br />
+ 9P 6 d − 19 + 10P 6d − 20 ) + P 7d − 43 .<br />
d − i