Lampiran 1
Syntax Program LINGO 11.0 untuk Menyelesaikan Masalah Pemrograman Linear dengan Metode Branch-and-Bound beserta Hasil yang Diperoleh
1) LP-relaksasi masalah (6) Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0;
Hasil yang diperoleh: Global optimal solution found. Objective value: 40.11111 Infeasibilities: 0.000000 Total solver iterations: 2
Variable Value Reduced Cost X1 11.33333 0.000000 X2 1.222222 0.000000 Row Slack or Surplus Dual Price 1 40.11111 1.000000 2 0.000000 0.7777778 3 0.000000 0.4444444 4 11.33333 0.000000 5 1.222222 0.000000 2) Subproblem 2 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 1 x ≤Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2<=1;
Hasil yang diperoleh: Global optimal solution found. Objective value:39.80000 Infeasibilities:0.000000
Total solver iterations: 1 Variable Value Reduced Cost X1 11.60000 0.000000 X2 1.000000 0.000000 Row Slack or Surplus Dual Price 1 39.80000 1.000000 2 0.4000000 0.000000 3 0.000000 0.6000000 4 11.60000 0.000000 5 1.000000 0.000000 6 0.000000 1.400000 3) Subproblem 4 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 1 x ≤ 1 11 x ≤Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2<=1; x1<=11;
Hasil yang diperoleh: Global optimal solution found. Objective value: 38.00000 Infeasibilities: 0.000000 Total solver iterations: 0
Variable Value Reduced Cost X1 11.00000 0.000000 X2 1.000000 0.000000 Row Slack or Surplus Dual Price 1 38.00000 1.000000 2 1.000000 0.000000 3 3.000000 0.000000 4 11.00000 0.000000 5 1.000000 0.000000 6 0.000000 5.000000 7 0.000000 3.000000 4) Subproblem 5 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 1 x ≤ 1 12 x ≥
Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2<=1; x1>=12;
Hasil yang diperoleh: Global optimal solution found. Objective value: 39.33333 Infeasibilities: 0.000000 Total solver iterations: 2
Variable Value Reduced Cost X1 12.00000 0.000000 X2 0.6666667 0.000000 Row Slack or Surplus Dual Price 1 39.33333 1.000000 2 1.000000 0.000000 3 0.000000 0.8333333 4 12.00000 0.000000 5 0.6666667 0.000000 6 0.3333333 0.000000 7 0.000000 -1.166667 5) Subproblem 6 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 1 x ≤ 1 12 x ≥ 2 0 x ≤Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2<=1; x1>=12; x2<=0;
Hasil yang diperoleh: Global optimal solution found.
Objective value:38.40000 Infeasibilities: 0.000000 Total solver iterations: 0 Variable Value Reduced Cost X1 12.80000 0.000000 X2 0.000000 0.000000 Row Slack or Surplus Dual Price
1 38.40000 1.000000 2 2.200000 0.000000 3 0.000000 0.6000000 4 12.80000 0.000000 5 0.000000 0.000000 6 1.000000 0.000000 7 0.8000000 0.000000 8 0.000000 1.400000 6) Subproblem 8 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 1 x ≤ 1 12 x ≥ 2 0 x ≤ 1 12 x ≤Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2<=1; x1>=12; x2<=0; x1<=12;
Hasil yang diperoleh: Global optimal solution found.
Objective value: 36.00000 Infeasibilities: 0.000000 Total solver iterations: 0
Variable Value Reduced Cost X1 12.00000 0.000000 X2 0.000000 0.000000 Row Slack or Surplus Dual Price 1 36.00000 1.000000 2 3.000000 0.000000 3 4.000000 0.000000 4 12.00000 0.000000 5 0.000000 0.000000 6 1.000000 0.000000 7 0.000000 0.000000 8 0.000000 5.000000
9 0.000000 3.000000 7) Subproblem 9 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 1 x ≤ 1 12 x ≥ 2 0 x ≤ 1 13 x ≥Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2<=1; x1>=12; x2<=0; x1>=13;
Hasil yang diperoleh:
8) Subproblem 7 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 1 x ≤ 1 12 x ≥ 2 1 x ≥Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2<=1; x1>=12; x2>=1;
Hasil yang diperoleh:
9) Subproblem 3 Max
z
=
3
x
1+
5
x
2 Terhadapx
1+
3
x
2≤
15
1 2 1 2 5 6 64 , 0 x x x x + ≤ ≥ 2 2 x ≥Syntax program pada LINGO 11.0: !Fungsi Objektif; max = 3*x1+5*x2; !Kendala; x1+3*x2<=15; 5*x1+6*x2<=64; x1>=0; x2>=0; x2>=2;
Hasil yang diperoleh: Global optimal solution found. Objective value: 37.00000 Infeasibilities: 0.000000 Total solver iterations: 1 Variable Value Reduced Cost X1 9.000000 0.000000 X2 2.000000 0.000000 Row Slack or Surplus Dual Price 1 37.00000 1.000000 2 0.000000 3.000000 3 7.000000 0.000000 4 9.000000 0.000000 5 2.000000 0.000000 6 0.000000 -4.000000
Lampiran 2.
Syntax Komputasi Program LINGO 11.0 untuk Menyelesaikan Masalah Penjadwalan Bus Transjakarta untuk Meminimumkan Biaya Operasional.
MODEL :
TITLE Busway Schedulling; SETS: SLOT/1..24/:KM; SHELTER/1..20/; LINKS_1(SLOT,SHELTER,SHELTER):TUJUAN; LINKS_2(SLOT, SHELTER):TURUN,NAIK,Z,DB,DB1,TUNGGU,PE_ANGKUT,KOSONG,X,PE,KAP_TOTAL ,U; ENDSETS !Fungsi Objektif; MIN=(@SUM(LINKS_2(I,J)|J#EQ#1:Z(I,J)*BIAYA*KM(I))); !Kendala-kemdala
!1. banyaknya penumpang naik pada slot 1 di shelter j;
@FOR(LINKS_2(I,J):NAIK(I,1)=@SUM(LINKS_1(I,J,K):TUJUAN(I,1,K))); @FOR(LINKS_2(I,J)|I#GE#J:NAIK(I,J)=@SUM(LINKS_1(I,J,K):TUJUAN(I,J,K )));
!2. banyaknya penumpang turun di slot i dari shelter j;
@FOR(LINKS_2(I,J):TURUN(I,1)=0); TURUN(2,2)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(3,3)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(4,4)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(5,5)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(6,6)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(7,7)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(8,8)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(9,9)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(10,10)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(11,11)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(12,12)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(13,13)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(14,14)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(15,15)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(16,16)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(17,17)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(18,18)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#18:TUJUAN(I,J,K)); TURUN(19,19)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#19:TUJUAN(I,J,K)); TURUN(20,20)=@SUM(LINKS_1(I,J,K)|I#EQ#J#AND#K#EQ#20:TUJUAN(I,J,K)); TURUN(3,2)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(4,3)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(5,4)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(6,5)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#5:TUJUAN(I,J,K));
TURUN(7,6)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(8,7)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(9,8)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(10,9)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(11,10)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(12,11)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(13,12)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(14,13)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(15,14)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(16,15)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(17,16)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(18,17)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(19,18)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#18:TUJUAN(I,J,K)); TURUN(20,19)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#19:TUJUAN(I,J,K)); TURUN(21,20)=@SUM(LINKS_1(I,J,K)|I#GE#2#AND#J#EQ#I-1#AND#K#EQ#20:TUJUAN(I,J,K)); TURUN(4,2)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(5,3)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(6,4)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(7,5)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(8,6)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(9,7)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(10,8)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(11,9)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(12,10)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(13,11)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(14,12)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(15,13)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(16,14)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(17,15)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#15:TUJUAN(I,J,K));
TURUN(18,16)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(19,17)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(20,18)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#18:TUJUAN(I,J,K)); TURUN(21,19)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#19:TUJUAN(I,J,K)); TURUN(22,20)=@SUM(LINKS_1(I,J,K)|I#GE#3#AND#J#EQ#I-2#AND#K#EQ#20:TUJUAN(I,J,K)); TURUN(5,2)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(6,3)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(7,4)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(8,5)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(9,6)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(10,7)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(11,8)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(12,9)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(13,10)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(14,11)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(15,12)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(16,13)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(17,14)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(18,15)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(19,16)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(20,17)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(21,18)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#18:TUJUAN(I,J,K)); TURUN(22,19)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#19:TUJUAN(I,J,K)); TURUN(23,20)=@SUM(LINKS_1(I,J,K)|I#GE#4#AND#J#EQ#I-3#AND#K#EQ#20:TUJUAN(I,J,K)); TURUN(6,2)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(7,3)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(8,4)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(9,5)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#5:TUJUAN(I,J,K));
TURUN(10,6)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(11,7)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(12,8)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(13,9)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(14,10)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(15,11)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(16,12)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(17,13)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(18,14)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(19,15)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(20,16)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(21,17)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(22,18)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#18:TUJUAN(I,J,K)); TURUN(23,19)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#19:TUJUAN(I,J,K)); TURUN(24,20)=@SUM(LINKS_1(I,J,K)|I#GE#5#AND#J#EQ#I-4#AND#K#EQ#20:TUJUAN(I,J,K)); TURUN(7,2)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(8,3)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(9,4)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(10,5)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(11,6)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(12,7)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(13,8)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(14,9)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(15,10)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(16,11)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(17,12)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(18,13)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(19,14)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(20,15)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#15:TUJUAN(I,J,K));
TURUN(21,16)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(22,17)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(23,18)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#18:TUJUAN(I,J,K)); TURUN(24,19)=@SUM(LINKS_1(I,J,K)|I#GE#6#AND#J#EQ#I-5#AND#K#EQ#19:TUJUAN(I,J,K)); TURUN(8,2)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(9,3)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(10,4)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(11,5)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(12,6)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(13,7)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(14,8)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(15,9)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(16,10)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(17,11)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(18,12)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(19,13)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(20,14)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(21,15)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(22,16)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(23,17)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(24,18)=@SUM(LINKS_1(I,J,K)|I#GE#7#AND#J#EQ#I-6#AND#K#EQ#18:TUJUAN(I,J,K)); TURUN(9,2)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(10,3)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(11,4)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(12,5)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(13,6)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(14,7)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(15,8)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#8:TUJUAN(I,J,K));
TURUN(16,9)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(17,10)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(18,11)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(19,12)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(20,13)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(21,14)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(22,15)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(23,16)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(24,17)=@SUM(LINKS_1(I,J,K)|I#GE#8#AND#J#EQ#I-7#AND#K#EQ#17:TUJUAN(I,J,K)); TURUN(10,2)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(11,3)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(12,4)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(13,5)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(14,6)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(15,7)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(16,8)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(17,9)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(18,10)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(19,11)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(20,12)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(21,13)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(22,14)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(23,15)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(24,16)=@SUM(LINKS_1(I,J,K)|I#GE#9#AND#J#EQ#I-8#AND#K#EQ#16:TUJUAN(I,J,K)); TURUN(11,2)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(12,3)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(13,4)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(14,5)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#5:TUJUAN(I,J,K));
TURUN(15,6)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(16,7)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(17,8)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(18,9)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(19,10)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(20,11)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(21,12)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(22,13)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(23,14)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(24,15)=@SUM(LINKS_1(I,J,K)|I#GE#10#AND#J#EQ#I-9#AND#K#EQ#15:TUJUAN(I,J,K)); TURUN(12,2)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(13,3)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(14,4)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(15,5)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(16,6)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(17,7)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(18,8)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(19,9)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(20,10)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(21,11)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(22,12)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(23,13)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(24,14)=@SUM(LINKS_1(I,J,K)|I#GE#11#AND#J#EQ#I-10#AND#K#EQ#14:TUJUAN(I,J,K)); TURUN(13,2)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(14,3)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(15,4)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(16,5)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(17,6)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#6:TUJUAN(I,J,K));
TURUN(18,7)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(19,8)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(20,9)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(21,10)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(22,11)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(23,12)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(24,13)=@SUM(LINKS_1(I,J,K)|I#GE#12#AND#J#EQ#I-11#AND#K#EQ#13:TUJUAN(I,J,K)); TURUN(14,2)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(15,3)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(16,4)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(17,5)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(18,6)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(19,7)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(20,8)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(21,9)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(22,10)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(23,11)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#11:TUJUAN(I,J,K)); TURUN(24,12)=@SUM(LINKS_1(I,J,K)|I#GE#13#AND#J#EQ#I-12#AND#K#EQ#12:TUJUAN(I,J,K)); TURUN(15,2)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(16,3)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(17,4)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(18,5)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(19,6)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(20,7)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(21,8)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(22,9)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(23,10)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(24,11)=@SUM(LINKS_1(I,J,K)|I#GE#14#AND#J#EQ#I-13#AND#K#EQ#11:TUJUAN(I,J,K));
TURUN(16,2)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(17,3)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(18,4)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(19,5)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(20,6)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(21,7)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(22,8)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(23,9)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(24,10)=@SUM(LINKS_1(I,J,K)|I#GE#15#AND#J#EQ#I-14#AND#K#EQ#10:TUJUAN(I,J,K)); TURUN(17,2)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(18,3)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(19,4)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(20,5)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(21,6)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(22,7)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(23,8)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(24,9)=@SUM(LINKS_1(I,J,K)|I#GE#16#AND#J#EQ#I-15#AND#K#EQ#9:TUJUAN(I,J,K)); TURUN(18,2)=@SUM(LINKS_1(I,J,K)|I#GE#17#AND#J#EQ#I-16#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(19,3)=@SUM(LINKS_1(I,J,K)|I#GE#17#AND#J#EQ#I-16#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(20,4)=@SUM(LINKS_1(I,J,K)|I#GE#17#AND#J#EQ#I-16#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(21,5)=@SUM(LINKS_1(I,J,K)|I#GE#17#AND#J#EQ#I-16#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(22,6)=@SUM(LINKS_1(I,J,K)|I#GE#17#AND#J#EQ#I-16#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(23,7)=@SUM(LINKS_1(I,J,K)|I#GE#17#AND#J#EQ#I-16#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(24,8)=@SUM(LINKS_1(I,J,K)|I#GE#17#AND#J#EQ#I-16#AND#K#EQ#8:TUJUAN(I,J,K)); TURUN(19,2)=@SUM(LINKS_1(I,J,K)|I#GE#18#AND#J#EQ#I-17#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(20,3)=@SUM(LINKS_1(I,J,K)|I#GE#18#AND#J#EQ#I-17#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(21,4)=@SUM(LINKS_1(I,J,K)|I#GE#18#AND#J#EQ#I-17#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(22,5)=@SUM(LINKS_1(I,J,K)|I#GE#18#AND#J#EQ#I-17#AND#K#EQ#5:TUJUAN(I,J,K));
TURUN(23,6)=@SUM(LINKS_1(I,J,K)|I#GE#18#AND#J#EQ#I-17#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(24,7)=@SUM(LINKS_1(I,J,K)|I#GE#18#AND#J#EQ#I-17#AND#K#EQ#7:TUJUAN(I,J,K)); TURUN(20,2)=@SUM(LINKS_1(I,J,K)|I#GE#19#AND#J#EQ#I-18#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(21,3)=@SUM(LINKS_1(I,J,K)|I#GE#19#AND#J#EQ#I-18#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(22,4)=@SUM(LINKS_1(I,J,K)|I#GE#19#AND#J#EQ#I-18#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(23,5)=@SUM(LINKS_1(I,J,K)|I#GE#19#AND#J#EQ#I-18#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(24,6)=@SUM(LINKS_1(I,J,K)|I#GE#19#AND#J#EQ#I-18#AND#K#EQ#6:TUJUAN(I,J,K)); TURUN(21,2)=@SUM(LINKS_1(I,J,K)|I#GE#20#AND#J#EQ#I-19#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(22,3)=@SUM(LINKS_1(I,J,K)|I#GE#20#AND#J#EQ#I-19#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(23,4)=@SUM(LINKS_1(I,J,K)|I#GE#20#AND#J#EQ#I-19#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(24,5)=@SUM(LINKS_1(I,J,K)|I#GE#20#AND#J#EQ#I-19#AND#K#EQ#5:TUJUAN(I,J,K)); TURUN(22,2)=@SUM(LINKS_1(I,J,K)|I#GE#21#AND#J#EQ#I-20#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(23,3)=@SUM(LINKS_1(I,J,K)|I#GE#21#AND#J#EQ#I-20#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(24,4)=@SUM(LINKS_1(I,J,K)|I#GE#21#AND#J#EQ#I-20#AND#K#EQ#4:TUJUAN(I,J,K)); TURUN(23,2)=@SUM(LINKS_1(I,J,K)|I#GE#22#AND#J#EQ#I-21#AND#K#EQ#2:TUJUAN(I,J,K)); TURUN(24,3)=@SUM(LINKS_1(I,J,K)|I#GE#22#AND#J#EQ#I-21#AND#K#EQ#3:TUJUAN(I,J,K)); TURUN(24,2)=@SUM(LINKS_1(I,J,K)|I#GE#23#AND#J#EQ#I-22#AND#K#EQ#2:TUJUAN(I,J,K));
!3. banyaknya penumpang yang dialokasikan di setiap shelter 1;
@FOR(LINKS_2(I,J):PE(I,1)=NAIK(I,1)); @FOR(LINKS_2(I,J):PE(1,J)=NAIK(1,J));
@FOR(LINKS_2(I,J)|I#LE#23#AND#J#LE#19:PE(I+1,J+1)=PE(I,J)-TURUN(I+1,J+1)+NAIK(I+1,J+1));
!4. kendala jumlah bus yang diperlukan;
Z(1,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#24:PE(I,I)); Z(2,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#23:PE(I+1,I)); Z(3,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#22:PE(I+2,I)); Z(4,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#21:PE(I+3,I)); Z(5,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#20:PE(I+4,I)); Z(6,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#19:PE(I+5,I)); Z(7,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#18:PE(I+6,I)); Z(8,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#17:PE(I+7,I)); Z(9,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#16:PE(I+8,I)); Z(10,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#15:PE(I+9,I));
Z(11,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#14:PE(I+10,I)); Z(12,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#13:PE(I+11,I)); Z(13,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#12:PE(I+12,I)); Z(14,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#11:PE(I+13,I)); Z(15,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#10:PE(I+14,I)); Z(16,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#9:PE(I+15,I)); Z(17,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#8:PE(I+16,I)); Z(18,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#7:PE(I+17,I)); Z(19,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#6:PE(I+18,I)); Z(20,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#5:PE(I+19,I)); Z(21,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#4:PE(I+20,I)); Z(22,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#3:PE(I+21,I)); Z(23,1)*KAP>=0.8*@MAX(LINKS_2(I,I)|I#LE#2:PE(I+22,I));
!5. Kendala kapasitas kosong sebelum penumpang naik di shelter j;
@FOR(LINKS_2(I,J):X(I,1)=KAP_TOTAL(I,1));
@FOR(LINKS_2(I,J)|I#GT#1#AND#J#GT#1#AND#I#GE#J:X(I,J)=KAP_TOTAL(I,J )-DB1(I-1,J-1)+TURUN(I,J));
@FOR(LINKS_2(I,J)|I#GT#1#AND#J#GT#1#AND#I#GE#J:X1(I,J)=@IF(X(I,J)#G E#KAP_TOTAL(I,J),KAP_TOTAL(I,J),X(I,J)));
!6. Kendala penumpang yang terangkut pada slot tertentu di shelter pertama;
@FOR(LINKS_2(I,J)|I#GE#J:PE_ANGKUT(I,1)=@IF(NAIK(I,1)#GE#KAP_TOTAL( I,1),KAP_TOTAL(I,1),NAIK(I,1)));
@FOR(LINKS_2(I,J)|I#GT#1#AND#J#GT#1#AND#I#GE#J:PE_ANGKUT(I,J)=@IF(X 1(I,J)#GE#NAIK(I,J),NAIK(I,J),X1(I,J)));
!7. kendala penumpang yang berada didalam bus di shelter1 pada saat slot I; @FOR(LINKS_2(I,J):DB(I,1)=PE_ANGKUT(I,1)); @FOR(LINKS_2(I,J)|I#GT#1#AND#J#GT#1#AND#I#GE#J:DB(I,J)=DB(I-1,J-1)-TURUN(I,J)+PE_ANGKUT(I,J)); @FOR(LINKS_2(I,J)|I#GE#J:DB1(I,J)=@IF(DB(I,J)#LE#0,0,DB(I,J))); @FOR(LINKS_2(I,J):@FREE(DB(I,J)));
!8. Kendala jumlah kapasitas yang kosong dalam bus;
@FOR(LINKS_2(I,J)|I#GE#J:KOSONG(I,J)=X(I,J)-PE_ANGKUT(I,J));
@FOR(LINKS_2(I,J)|I#GE#J:KOSONG1(I,J)=@IF(KOSONG(I,J)#GE#KAP_TOTAL( I,J),KAP_TOTAL(I,J),KOSONG(I,J)));
!9. Kendala jumlaj penumpang yang menunggu/tidak terbawa;
@FOR(LINKS_2(I,J)|I#GE#J:TUNGGU(I,J)=NAIK(I,J)-PE_ANGKUT(I,J)); !10. Kendala Integer; @FOR(LINKS_2(I,J):@GIN(Z(I,J))); !11. keberlanjutan bus; @FOR(LINKS_2(I,J)|I#EQ#J:Z(I,J)=Z(1,1)); @FOR(LINKS_2(I,J)|I#GT#2#AND#I#LE#21:Z(I,I-1)=Z(2,1)); @FOR(LINKS_2(I,J)|I#GT#3#AND#I#LE#22:Z(I,I-2)=Z(3,1)); @FOR(LINKS_2(I,J)|I#GT#4#AND#I#LE#23:Z(I,I-3)=Z(4,1)); @FOR(LINKS_2(I,J)|I#GT#5#AND#I#LE#24:Z(I,I-4)=Z(5,1));
@FOR(LINKS_2(I,J)|I#GT#6:Z(I,I-5)=Z(6,1)); @FOR(LINKS_2(I,J)|I#GT#7:Z(I,I-6)=Z(7,1)); @FOR(LINKS_2(I,J)|I#GT#8:Z(I,I-7)=Z(8,1)); @FOR(LINKS_2(I,J)|I#GT#9:Z(I,I-8)=Z(9,1)); @FOR(LINKS_2(I,J)|I#GT#10:Z(I,I-9)=Z(10,1)); @FOR(LINKS_2(I,J)|I#GT#11:Z(I,I-10)=Z(11,1)); @FOR(LINKS_2(I,J)|I#GT#12:Z(I,I-11)=Z(12,1)); @FOR(LINKS_2(I,J)|I#GT#13:Z(I,I-12)=Z(13,1)); @FOR(LINKS_2(I,J)|I#GT#14:Z(I,I-13)=Z(14,1)); @FOR(LINKS_2(I,J)|I#GT#15:Z(I,I-14)=Z(15,1)); @FOR(LINKS_2(I,J)|I#GT#16:Z(I,I-15)=Z(16,1)); @FOR(LINKS_2(I,J)|I#GT#17:Z(I,I-16)=Z(17,1)); @FOR(LINKS_2(I,J)|I#GT#18:Z(I,I-17)=Z(18,1)); @FOR(LINKS_2(I,J)|I#GT#19:Z(I,I-18)=Z(19,1)); @FOR(LINKS_2(I,J)|I#GT#20:Z(I,I-19)=Z(20,1)); @FOR(LINKS_2(I,J)|I#GT#21:Z(I,I-20)=Z(21,1)); @FOR(LINKS_2(I,J)|I#GT#22:Z(I,I-21)=Z(22,1)); @FOR(LINKS_2(I,J)|I#GT#23:Z(I,I-22)=Z(23,1));
!12. nilai utilutas bus;
@FOR(LINKS_2(I,J)|I#GE#J#AND#I#LE#23:U(I,J)=DB1(I,J)/KAP_TOTAL(I,J) );
@FOR(LINKS_2(I,J)|I#GE#J#AND#I#EQ#24#AND#J#GE#2:U(I,J)=DB1(I,J)/KAP _TOTAL(I,J));
!13. kendala jumlah bus yang keluar tidak boleh melebihi jumlah bis yg tersedia;
@SUM(LINKS_2(I,J)|J#EQ#1:Z(I,J))<=BUSTERSEDIA;
!14. kendala totak bus yang digunakan;
@SUM(LINKS_2(I,J)|J#EQ#1:Z(I,J))=TOTAL_BUS; !15. kendala integer; @FOR(LINKS_2(I,J):@GIN(Z(I,J))); !16. kendala ketaknegatifan; @FOR(LINKS_2(I,J):Z(I,J)>0); @FOR(LINKS_2(I,J):NAIK(I,J)>=0); @FOR(LINKS_2(I,J):TURUN(I,J)>=0); @FOR(LINKS_2(I,J):Kap_Total(I,J)>0); @FOR(LINKS_2(I,J):PE(I,J)>=0); @FOR(LINKS_2(I,J):U(I,J)>=0); !Data; DATA: @OLE('BISMILLAHdraft5(1).xls','ZIJREAL7','NAIKREAL7','TURUNRE AL7','PE_ANGKUTREAL7','DALAMBUSREAL7','DALAMBUSNEGATIF','TUNGGUREAL 7','KOSONGREAL7','XIJREAL7','PEREAL7','UTI7')=Z,NAIK,TURUN,PE_ANGKU T,DB1,DB,TUNGGU,KOSONG1,X1,PE,U; KAP=85; BIAYA= 10435; BUSTERSEDIA = 279; TUJUAN,KAP_TOTAL,KM= @ole('BISMILLAHdraft5(1).xls','TUJUANREAL7','KAP_TOTALREAL7','KILOM ETER2'); ENDDATA END
Lampiran 3
Banyaknya Penumpang di Shelter j dengan Shelter tujuan k pada Slot Waktu i untuk Masalah Penjadwalan Bus Transjakarta untuk Meminimumkan Biaya Operasional
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