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Appendix 1 VBA Program of RAS Method
RASMacro
Sheets(
Sheet1
).Select
1Definethearraysandvariables referredtointheRASmethod.
=============Definearraysandvariables==============
StaticrnAsInteger
Row
StaticcnAsInteger
Column
rn=2
cn=3
ReDimG(rn,cn)
ReDimA(rn,cn)
ReDimRow(rn)
ReDimCol(cn)
DimbaAsDouble
ba=1
2ImporttheinitialmatrixA0,rowsumvectorROW,columnsum vector
COL,
and intermediatematrixA00fromthecorrespondingregionof
Excelworkbook
Sheet1
.
====Importtherowsum,initialmatrixandintermediatematrix====
Fori=1Torn
Row(i)=Sheets(
Sheet1
).Cells(i+1,cn+3).Value
cn+3isthegivencolumnsum
For j=1Tocn
G(i,j)=Cells(i+1,j +1).Value
A(i,j)=G(i,j)
Nextj
Next i
================Importthecolumnsum==============
Forj =1Tocn
Col(j)=Sheets(
Sheet1
).Cells(rn+3,j+1)
rn+3isthegivenrowsum
Next j
3Checkwhether thesummationof elements inthegivenvector COLorROW
is
equalwitheachother.Ifnot,vector COLshouldbeadjustedinproportion.
=========Checkwhetherthesummationofelementsinthegiven========
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278
Appendix1 VBA A ProgramofRASMethod
=========vectorCOLorROWisequalwitheachother==============
rsum=0
csum=0
Fori=1Torn
rsum=rsum +Row(i)
Next i
Forj =1Tocn
csum=csum+Col(j)
Next j
=======Ifvector COLorROWisnot equalwitheachother,=======
=========adjustvectorCOLinproportion===============
Ifcsum<>rsumThen
ba=rsum/csum
For j=1Tocn
Col(j)=Col(j)*ba
Nextj
EndIf
4CalculatetheRASiterativeprocess.
======================RASiterates==================
iter=0
Top:
iter=iter+1
rdismax=0
cdismax=0
5UsethemultiplicatorofcolumntomultiplytheintermediatematrixA00
inthe
right,andcalculatethecolumnsumgap betweentheobtained
matrixandthe
given
matrixCOL.
Usethemultiplicatorof columntomultiplytheintermediatematrixinthe
right
Forj =1Tocn
csum=0
For i=1Torn
csum=csum+A(i,j)
Nexti
If (Abs(csum)>0)Then
csum =Col(j)/csum
Else
csum =0
EndIf
For i=1Torn
A(i,j)=A(i,j)*csum
Nexti
====Calculatecolumnsumgapbetweentheobtainedmatrix=======
====andthegivenmatrix===========================
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Appendix1 VBAProgramof f RASMethod
279
dis=Abs(csum-1)
If (dis >cdismax)Then
cdismax=dis:
cis=csum -1:
jmax=j
EndIf
Next j
6UsethemultiplicatorofrowtomultiplytheintermediatematrixA00in
theleft,andcalculatetherowsumgapbetweentheobtainedmatrixand
thegivenmatrix
ROW.
==Usethemultiplicatorofrowtomultiplytheintermediatematrixinthe
left==
Fori=1Torn
rsum=0
For j=1Tocn
rsum=rsum+A(i,j)
Nextj
If (Abs(rsum)>0)Then
rsum=Row(i)/rsum
Else: rsum=0
EndIf
For j=1Tocn
A(i,j)=A(i,j)*rsum
==Calculaterowsum gapbetween theobtainedmatrixandthegiven
matrix==
dis=Abs(rsum-1)
If (dis >rdismax)Then
rdismax=dis:
rdis=rsum-1:
imax=i
EndIf
Continue: Nexti
7Determinewhethertheiterations canbeconverged,andsetthetermination
conditionsofiteration,whichincludetwoaspects,
First,theiterations cannot beinfinite,herewesetitasnomorethan50,000;
Second,therowsumgaporcolumnsumgap betweentheresultmatrixand
givenmatrixissmallenough,herewesettheerroraccuracyas 0.000001.
==========Determinewhethertheiterationsconverge=========
If(cdismax>rdismax)Then
dismax=cdismax
Else: dismax=rdismax
EndIf
===========Settheterminationconditionsofiteration========
If(iter <50000Anddismax>0.000001) Then
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280
Appendix1 VBA A ProgramofRASMethod
GoToTop
EndIf
If(dismax>0.000001) Then
Beep
EndIf
Cells(rn+5,1) =ba
8Recordthefinalresultmatrixobtainedfromtheiterations
and export
the
structuretoworkbook
Sheet1
inthecorrespondingregion.
============Recordthefinalresultmatrix============
Fori=1Torn
For j=1Tocn
IfRow(i)=0Then
Cells(i+rn+5,j +1).Value=0
Else: Cells(i+rn+5,j+1).Value=A(i,j)*ba
EndIf
Nextj
Next i
Beep
Worksheets(
Sheet1
).Activate
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Appendix2 SAMofJiangxiProvincein2007
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Appendix2 SAMofJiangxiProvincein2007
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Appendix2 SAMofJiangxiProvincein2007
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