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MODEL:
SETS:
CITY / 1 2 4 5 15 20 21/:U; !U(I) = sequence no.of city;
LINK(CITY, CITY):
DIST, !The distance matrix;
X; !X(I,J) = 1 if we use link I,J;
ENDSETS
DATA: !Distance matrix, it need not be symmetric;
DIST= 0 18.3 22.3 19.1 10.7 9.2 26.4 26.5
18.3 0 17.9 3.7 18.8 27.3 11.4 23.5
22.3 17.9 0 22.3 13.6 27.9 21.3 5.6
19.1 3.7 22.3 0 21.1 27.8 21.1 27.1
10.7 18.8 13.6 21.1 0 14.6 18.3 16.4
9.2 27.3 27.9 27.8 14.6 0 33.1 30.9
26.4 11.4 21.3 21.1 18.3 33.1 0 8
26.5 23.5 5.6 27.1 16.4 30.9 8 0
ENDDATA
!The model:Ref. Desrochers & Laporte, OR Letters, Feb. 91;
N = @SIZE( CITY);
MIN = @SUM( LINK: DIST * X);
@FOR( CITY(K)):
! It must be entered;
@SUM( CITY(I)|I££NE#K:X( I, K)) = 1;
SETS:
CITY / 1 2 4 5 15 20 21/:U; !U(I) = sequence no.of city;
LINK(CITY, CITY):
DIST, !The distance matrix;
X; !X(I,J) = 1 if we use link I,J;
ENDSETS
DATA: !Distance matrix, it need not be symmetric;
DIST= 0 18.3 22.3 19.1 10.7 9.2 26.4 26.5
18.3 0 17.9 3.7 18.8 27.3 11.4 23.5
22.3 17.9 0 22.3 13.6 27.9 21.3 5.6
19.1 3.7 22.3 0 21.1 27.8 21.1 27.1
10.7 18.8 13.6 21.1 0 14.6 18.3 16.4
9.2 27.3 27.9 27.8 14.6 0 33.1 30.9
26.4 11.4 21.3 21.1 18.3 33.1 0 8
26.5 23.5 5.6 27.1 16.4 30.9 8 0
ENDDATA
!The model:Ref. Desrochers & Laporte, OR Letters, Feb. 91;
N = @SIZE( CITY);
MIN = @SUM( LINK: DIST * X);
@FOR( CITY(K)):
! It must be entered;
@SUM( CITY(I)|I££NE#K:X( I, K)) = 1;
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