KSUY 5117

1. P matrisi
Bağlar
O-D çiftleri 1-2 2-3 1-4 2-4 2-5 3-5 4-5
A,A 0 0 0 0 0 0 0
A,B 1 0 0 0 0 0 0
A,C 1 1 0 0 0 0 0
A,D 1 0 0 1 0 0 0
A,E 1 0 0 1 0 0 1
B,A 1 0 0 0 0 0 0
B,B 0 0 0 0 0 0 0
B,C 0 1 0 0 0 0 0
B,D 0 0 0 1 0 0 0
B,E 0 0 0 1 0 0 1
C,A 1 1 0 0 0 0 0
C,B 0 1 0 0 0 0 0
C,C 0 0 0 0 0 0 0
C,D 0 0 0 0 0 1 1
C,E 0 0 0 0 0 1 0
D,A 1 0 0 1 0 0 0
D,B 0 0 0 1 0 0 0
D,C 0 0 0 0 0 1 1
D,D 0 0 0 0 0 0 0
Zone 1 5m
D,E 0 0 0 0 0 0 1 A
E,A 1 0 0 1 0 0 1
E,B 0 0 0 1 0 0 1 15 min
min
E,C 0 0 0 0 0 1 0
E,D 0 0 0 0 0 0 1
E,E 0 0 0 0 0 0 0
Zone
D
ULAŞIM AĞI

2. Hacim
T/OD matrisinin (z1=0,6 ile çarpılmış hali)
OD çiftleri
A B C D E A,A
A 0 60 300 120 240 A,B
B 360 0 60 180 120 A,C
C 60 180 0 60 480 A,D
D 240 600 120 0 300 A,E
E 240 120 180 60 0 B,A
B,B
B,C
T/OD matrisi z1T 0.6 ile çarpılacak.
B,D
A B C D E B,E
A 0 100 500 200 400 C,A
B 600 0 100 300 200 C,B
C 100 300 0 100 800 C,C
D 400 1000 200 0 500 C,D
E 400 200 300 100 0 C,E
D,A
Zone
B D,B
D,C
D,D
Zone 1 5 min 2 10 min 3 Zone
A C
D,E
16 min
E,A
9 min
15 min 12 min E,B
min
E,C
4 6 min 5 E,D
E,E
Zone Zone
D E

3. matrisi
Bağlar
1-2 2-3 1-4 2-4 2-5 3-5 4-5
Araç
yolculukları
0 0 0 0 0 0 0 0
60 60 0 0 0 0 0 0
300 300 300 0 0 0 0 0
120 120 0 0 120 0 0 0
240 240 0 0 240 0 0 240
360 360 0 0 0 0 0 0
0 0 0 0 0 0 0 0
60 0 60 0 0 0 0 0
180 0 0 0 180 0 0 0
120 0 0 0 120 0 0 120
60 60 60 0 0 0 0 0
180 0 180 0 0 0 0 0
0 0 0 0 0 0 0 0
60 0 0 0 0 0 60 60
480 0 0 0 0 0 480 0
240 240 0 0 240 0 0 0
600 0 0 0 600 0 0 0
120 0 0 0 0 0 120 120
0 0 0 0 0 0 0 0
300 0 0 0 0 0 0 300
240 240 0 0 240 0 0 240
120 0 0 0 120 0 0 120
180 0 0 0 0 0 180 0
60 0 0 0 0 0 0 60
0 0 0 0 0 0 0 0
Toplam 1620 600 0 1860 0 840 1260

4. 1. artış
z1 = 0.6
Links
Bağ 1-2 2-3 1-4 2-4 2-5 3-5 4-5
Bağ hacmi 1620 600 0 1860 0 840 1260
Yönsel dağılım (50/50) 810 300 0 930 0 420 630
to (dak) 5 10 15 9 16 12 6
α 1 1 1 1 1 1 1
β 3 3 3 3 3 3 3
Qp 1000 1000 500 1000 500 1000 1000
t (güncellenen maliyet) 7.7 10.3 15.0 16.2 16.0 12.9 7.5

5. Zon B
Zon A 1 t0=5 dak 2 t0=10 dak 3 Zon C
t1= 7,7 dak t1= 10,3 dak
t0=9 dak t0=16,0 dak t0=12,0 dak
t0=15,0 dak t1= 16,2 dak t1=16,0 dak
t1=15,0 dak t1=12,9 dak
4 t0=6 dak 5
t1=7,5 dak
Zon D Zon E

6. Zon C

7. P matrisi (1. artış sonunda güncellendi)
Links
O-D 1-2 2-3 1-4 2-4 2-5 3-5 4-5
Pairs
A,A 0 0 0 0 0 0 0
A,B 1 0 0 0 0 0 0
A,C 1 1 0 0 0 0 0
A,D 0 0 1 0 0 0 0
A,E 0 0 1 0 0 0 1
B,A 1 0 0 0 0 0 0
B,B 0 0 0 0 0 0 0
B,C 0 1 0 0 0 0 0
B,D 0 0 0 0 1 0 1
B,E 0 0 0 0 1 0 0
C,A 1 1 0 0 0 0 0
C,B 0 1 0 0 0 0 0
C,C 0 0 0 0 0 0 0
C,D 0 0 0 0 0 1 1
C,E 0 0 0 0 0 1 0
D,A 0 0 1 0 0 0 0
D,B 0 0 0 0 1 0 1
D,C 0 0 0 0 0 1 1
D,D 0 0 0 0 0 0 0
D,E 0 0 0 0 0 0 1 Zon A
E,A 0 0 1 0 0 0 1
E,B 0 0 0 0 1 0 0
E,C 0 0 0 0 0 1 0
E,D 0 0 0 0 0 0 1
E,E 0 0 0 0 0 0 0

8. Hacim
T/OD matrisinin (z2=0,4 ile çarpılmış hali)
OD çiftleri
A B C D E A,A
A 0 40 200 80 160 A,B
B 240 0 40 120 80 A,C
C 40 120 0 40 320 A,D
D 160 400 80 0 200 A,E
E 160 80 120 40 0 B,A
B,B
B,C
T/OD matrisi z2T 0.4 ile çarpılacak.
B,D
A B C D E B,E
A 0 100 500 200 400 C,A
B 600 0 100 300 200 C,B
C 100 300 0 100 800 C,C
D 400 1000 200 0 500 C,D
E 400 200 300 100 0 C,E
D,A
Zon B D,B
D,C
D,D
Zon A t0=5 dak t0=10 dak D,E
t1= 7,7 dak t1= 10,3 dak Zon C E,A
1 2 3
t0=16,0 dak E,B
t0=9 dak t1=16,0 dak t0=12,0 dak E,C
t0=15,0 dak t1= 16,2 dak
t1=15,0 dak t1=12,9 dak E,D
t0=6 dak E,E
4 5
t1=7,5
dak
Zon D Zon E

9. matrisi
Bağlar
Araç
1-2 2-3 1-4 2-4 2-5 3-5 4-5
yolculukları
0 0 0 0 0 0 0 0
40 40 0 0 0 0 0 0
200 200 200 0 0 0 0 0
80 0 0 80 0 0 0 0
160 0 0 160 0 0 0 160
240 240 0 0 0 0 0 0
0 0 0 0 0 0 0 0
40 0 40 0 0 0 0 0
120 0 0 0 0 120 0 120
80 0 0 0 0 80 0 0
40 40 40 0 0 0 0 0
120 0 120 0 0 0 0 0
0 0 0 0 0 0 0 0
40 0 0 0 0 0 40 40
320 0 0 0 0 0 320 0
160 0 0 160 0 0 0 0
400 0 0 0 0 400 0 400
80 0 0 0 0 0 80 80
0 0 0 0 0 0 0 0
200 0 0 0 0 0 0 200
160 0 0 160 0 0 0 160
80 0 0 0 0 80 0 0
120 0 0 0 0 0 120 0
40 0 0 0 0 0 0 40
0 0 0 0 0 0 0 0
Toplam: 2
atama (0,40) 520 400 560 0 680 560 1200
Toplam: 1
atama (0,60) 1620 600 0 1860 0 840 1260
TOPLAM 2140 1000 560 1860 680 1400 2460

10. P matrislerinin farkı
Bağlar
O-D 1-2 2-3 1-4 2-4 2-5 3-5 4-5
çiftleri
A,A 0 0 0 0 0 0 0
A,B 0 0 0 0 0 0 0
A,C 0 0 0 0 0 0 0
A,D 1 0 -1 1 0 0 0
A,E 1 0 -1 1 0 0 0
B,A 0 0 0 0 0 0 0
B,B 0 0 0 0 0 0 0
B,C 0 0 0 0 0 0 0
B,D 0 0 0 1 -1 0 -1
B,E 0 0 0 1 -1 0 1
C,A 0 0 0 0 0 0 0
C,B 0 0 0 0 0 0 0
C,C 0 0 0 0 0 0 0
C,D 0 0 0 0 0 0 0
C,E 0 0 0 0 0 0 0
D,A 1 0 -1 1 0 0 0
D,B 0 0 0 1 -1 0 -1
D,C 0 0 0 0 0 0 0
D,D 0 0 0 0 0 0 0
D,E 0 0 0 0 0 0 0
E,A 1 0 -1 1 0 0 0
E,B 0 0 0 1 -1 0 1
E,C 0 0 0 0 0 0 0
E,D 0 0 0 0 0 0 0
E,E 0 0 0 0 0 0 0
YEŞİL = OD çifti bu linki geçen sefer kullanmadı ama, güncellemeden
sonra kullandı.
KIRMIZI = OD çifti bu linki geçen sefer kullandı ama, güncellemeden
sonra kullanmadı.

11. 2. artış z2= 0.4
Links
Link 1-2 2-3 1-4 2-4 2-5 3-5
Bağ hacmi 2140 1000 560 1860 680 1400
Yönsel dağılım (50/50) 1070 500 280 930 340 700
to 5 10 15 9 16 12
α 1 1 1 1 1 1
β 3 3 3 3 3 3
Qp 1000 1000 500 1000 500 1000
t (güncellenen maliyet) 11.1 11.3 17.6 16.2 21.0 16.1
2. artış yüklemesi sonunda oluşan maliyetler
Zon B
2140 araç 1000 araç
Zon A 11,1 dak 11,3 dak
1 2 3
1860 araç 160 araç
560 araç 16,2 dak 21,0 dak 1400 araç
17,6 dak 16,1 dak
4 2460 araç 5
17,2 dak
Zon D Zon E

12. 1. artış yüklemesi sonunda oluşan maliyetler
Zon B
4-5 1620 araç 600 araç
2460
Zon A 7,7 dak 10,3 dak
1230 1 2
6
1
3 1860 araç 0 araç
1000 0 araç 16,2 dak 16,0 dak
17.2 15,0 dak
4 1260 araç 5
7,5 dak
Zon D
Zon C Zon B
3
t0=5 dak t0=10 dak
Zon A
t1= 7,7 dak t1= 10,3 dak
1400 araç 1 2
16,1 dak t0=16,0 dak
t0=9 dak t1=16,0 dak
t0=15,0 dak t1= 16,2 dak
t1=15,0 dak
4 t0=6 dak 5
t1=7,5 dak
Zon D

13. 600 araç
10,3 dak Zon C
3
0 araç
16,0 dak 840 araç
12,9 dak
5
Zon E
t0=10 dak
t1= 10,3 dak Zon C
3
t0=16,0 dak
t1=16,0 dak t0=12,0 dak
t1=12,9 dak
5
Zon E