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REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
BAB III PENYAJIAN DAN ANALISA DATA 4.1
Model Greenshield No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
Us = Y 63.45 60.38 62.12 62.54 60.87 59.19 62.06 62.9 62.77 60.68 61.91 64.36 61.8 63.44 62.09 60.89 63.38 64.2 62.75 61.93 62.98 60.25 60.92 61.64 61.19 59.16 61.99 58.79 60.23 61.46 59.83 60.9 61.56 61.02 59.24
D=X 22.18 22.77 22.93 24.81 24.78 24.33 22.24 22.38 25.37 27.96 24.01 21.76 22.91 23.66 21.84 21.34 21.6 23.44 24.02 26.62 26.35 28.84 29.63 26.96 27.67 29.55 28.67 28.43 27.38 24.99 29.36 27.47 25.52 25.41 26.15
XY 1407.32 1374.85 1424.41 1551.62 1508.36 1440.09 1380.21 1407.70 1592.47 1696.61 1486.46 1400.47 1415.84 1500.99 1356.05 1299.39 1369.01 1504.85 1507.26 1648.58 1659.52 1737.61 1805.06 1661.81 1693.13 1748.18 1777.25 1671.40 1649.10 1535.89 1756.61 1672.92 1571.01 1550.52 1549.13
X^2 491.95 518.47 525.78 615.54 614.05 591.95 494.62 500.86 643.64 781.76 576.48 473.50 524.87 559.80 476.99 455.40 466.56 549.43 576.96 708.62 694.32 831.75 877.94 726.84 765.63 873.20 821.97 808.26 749.66 624.50 862.01 754.60 651.27 645.67 683.82
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 36
62 2216.87
23.69 907.02
1468.78 561.22 55780.46 23079.89
Cara Perhitungan : Dengan Model Greenshield b=
𝑛.∑ 𝑥𝑦− ∑ 𝑥.∑ 𝑦 𝑛 ∑𝑥 2−(∑𝑥) 2
=
36 𝑥 55780,46−(907,02 𝑥 2216,87) 36 𝑥 23079,89− (907,02)2
= - 0,323 a = 𝑦̅ - b𝑥̅ = 61,58 – (-0.323 x 25,195 ) = 69,717 dj = =-
𝑎 𝑏 69,717 − 0.323
= 215,845 kend/jam Dmax = ½ Dj= 107,922 kend/km Uf = a = 69,717 Us = uf -
𝑢𝑓 𝑑𝑗
.D 69,717
= 69,717 –
215,845
x 107,922
= 34,858 km/jam Q = ( a*D) - (
𝑎 𝐷𝑗
)*( D^2)
= (69,717*107,922) – (
69,717
215,284
)*( 107,922^2) = 3762,21
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
MODEL GREENSHIELD D=X 0 21.34 21.6 21.76 21.84 22.18 22.24 22.38 22.77 22.91 22.93 23.44 23.66 23.69 24.01 24.02 24.33 24.78 24.81 24.99 25.37 25.41 25.52 25.96 26.15 26.35 26.62 26.96 27.38 27.47 27.67 28.43 28.67 28.84 29.36 29.55 29.63
a 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717
b -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323
Us 69.72 62.82 62.74 62.69 62.66 62.55 62.53 62.49 62.36 62.32 62.31 62.15 62.07 62.07 61.96 61.96 61.86 61.71 61.70 61.65 61.52 61.51 61.47 61.33 61.27 61.21 61.12 61.01 60.87 60.84 60.78 60.53 60.46 60.40 60.23 60.17 60.15
Q 0.00 1340.67 1355.19 1364.10 1368.55 1387.42 1390.75 1398.49 1419.99 1427.69 1428.78 1456.70 1468.69 1470.33 1487.70 1488.25 1505.02 1529.25 1530.86 1540.52 1560.83 1562.96 1568.82 1592.18 1602.23 1612.78 1626.98 1644.80 1666.71 1671.39 1681.77 1720.99 1733.29 1741.99 1768.47 1778.10 1782.14
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 107.922 215.845
69.717 69.717
b a = Uf Dj Dmax Qmax
-0.323 -0.323
34.86 0.00
3762.02 0.00
-0.323 69.717 215.845 107.922 3762.02
Hubungan kecepatan. volume dan kerapatan dalam model Greendshield dalam grafik.
Q vs D 4000.00
Q
3500.00 3000.00 2500.00 2000.00 1500.00 1000.00 500.00
D
0.00 0
50
100
150
200
250
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Us vs D 80.00
Us
70.00 60.00
50.00 40.00 30.00 20.00 10.00 0.00
D 0
50
100
150
200
250
Us vs Q 80.00
Us
70.00 60.00 50.00 40.00 30.00 20.00 10.00
Q
0.00 0.00
1000.00
2000.00
3000.00
4000.00
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
4.2
Model Greenberg
Data : No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Us = Y 63.45 60.38 62.12 62.54 60.87 59.19 62.06 62.9 62.77 60.68 61.91 64.36 61.8 63.44 62.09 60.89
D 22.18 22.77 22.93 24.81 24.78 24.33 22.24 22.38 25.37 27.96 24.01 21.76 22.91 23.66 21.84 21.34
Ln D = X 3.10 3.13 3.13 3.21 3.21 3.19 3.10 3.11 3.23 3.33 3.18 3.08 3.13 3.16 3.08 3.06
XY 196.64 188.71 194.59 200.83 195.39 188.92 192.50 195.50 202.97 202.11 196.78 198.23 193.53 200.71 191.47 186.36
X^2 9.60 9.77 9.81 10.31 10.30 10.19 9.62 9.66 10.46 11.09 10.10 9.49 9.81 10.01 9.51 9.37
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
63.38 64.2 62.75 61.93 62.98 60.25 60.92 61.64 61.19 59.16 61.99 58.79 60.23 61.46 59.83 60.9 61.56 61.02 59.24 62 2216.87
21.6 23.44 24.02 26.62 26.35 28.84 29.63 26.96 27.67 29.55 28.67 28.43 27.38 24.99 29.36 27.47 25.52 25.41 26.15 23.69 907.02
3.07 3.15 3.18 3.28 3.27 3.36 3.39 3.29 3.32 3.39 3.36 3.35 3.31 3.22 3.38 3.31 3.24 3.24 3.26 3.17 115.98
Cara Perhitungan : Dengan Model Greenberg b=
𝑛.∑ 𝑥𝑦− ∑ 𝑥.∑ 𝑦
=
𝑛 ∑𝑥 2−(∑𝑥) 2 36 𝑥 7139,19−(115,98 x 2216,87) 36 𝑥 374,01−(115,982 )
= -7,023
; b = -Um = 7,832
a = 𝑦̅ - b𝑥̅ = 61,58–( -7,832 x 3,22) = 86,799 a = Um Ln Dj 86,799 = 7,832 ln Dj
194.75 202.52 199.48 203.23 206.04 202.55 206.44 203.06 203.17 200.32 208.03 196.80 199.35 197.81 202.20 201.77 199.42 197.41 193.35 196.23 7139.19
9.44 9.95 10.11 10.77 10.70 11.30 11.48 10.85 11.02 11.47 11.26 11.21 10.95 10.36 11.42 10.98 10.49 10.47 10.65 10.02 374.01
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti Ln Dj = 86,799 / 7,832 = 11,08 Dj
= e11,08 = 65030,71
Us = Um Ln Dj – Um Ln D = 7,832 Ln 65030,71 – 7,832 Ln 21,32 = 62,84 Q = Us x D = 62,84x 21,32 = 1339,66
MODEL GREENBERG Data penyajian : D=X 0 21.34 21.6 21.76 21.84 22.18 22.24 22.38 22.77 22.91 22.93 23.44 23.66 23.69
Um 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832
a 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799
Dj 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71
Us 86.80 62.83 62.73 62.68 62.65 62.53 62.51 62.46 62.32 62.27 62.27 62.09 62.02 62.01
Q 0.00 1340.78 1355.07 1363.85 1368.24 1386.85 1390.13 1397.78 1419.06 1426.69 1427.78 1455.49 1467.42 1469.05
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 24.01 24.02 24.33 24.78 24.81 24.99 25.37 25.41 25.52 25.96 26.15 26.35 26.62 26.96 27.38 27.47 27.67 28.43 28.67 28.84 29.36 29.55 29.63 65030.71
b a b=-Um Dj Qmax
7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832
86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799
65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71
61.91 61.90 61.80 61.66 61.65 61.59 61.47 61.46 61.43 61.29 61.24 61.18 61.10 61.00 60.88 60.85 60.80 60.58 60.52 60.47 60.33 60.28 60.26 0.00
1486.37 1486.91 1503.66 1527.91 1529.52 1539.21 1559.61 1561.76 1567.66 1591.21 1601.36 1612.04 1626.43 1644.52 1666.83 1671.60 1682.20 1722.37 1735.02 1743.97 1771.31 1781.28 1785.47 62.44
-7,832 86,799 7,832 65030,71 1785,47
Hubungan kecepatan. volume dan kerapatan model greenberg dalam grafik
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Q vs D
Q 2500.00
2000.00 1500.00 1000.00 500.00
D
0.00 -20000
0
20000
40000
60000
80000
Us vs D 100.00 90.00 Us 80.00 70.00 60.00 50.00 40.00 30.00 20.00 10.00 0.00 -10000 0
D 10000
20000
30000
40000
50000
60000
70000
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Us vs Q Us
100.00 90.00 80.00 70.00 60.00 50.00 40.00 30.00 20.00 10.00 0.00
Q 0.00
500.00
1000.00
1500.00
2000.00
4.3 MODEL UNDERWOOD Data : No 1 2 3 4 5 6 7 8 9 10 11
Us 55.61 54.42 61.42 40.09 44.96 40.67 39.45 34.17 56.76 44.45 57.19
Ln Us = Y 4.02 4.00 4.12 3.69 3.81 3.71 3.68 3.53 4.04 3.79 4.05
D=X 284 320 344 284 400 340 352 336 284 236 224
XY 1141.22 1278.98 1416.48 1048.31 1522.29 1259.85 1293.64 1186.55 1147.01 895.46 906.40
X^2 80656 102400 118336 80656 160000 115600 123904 112896 80656 55696 50176
2500.00
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
49.97 38.58 49.97 31.81 31.29 44.14 55.13 50.07 52.74 42.55 20.92 34.11 41.63 54.42 44.95 30.45 31.81 55.13 42.55 31.91 35.11 42.11 43.21 45.52 47.00 1576.27
3.91 3.65 3.91 3.46 3.44 3.79 4.01 3.91 3.97 3.75 3.04 3.53 3.73 4.00 3.81 3.42 3.46 4.01 3.75 3.46 3.56 3.74 3.77 3.82 3.85 135.16
970.02 61504 248 92416 304 1110.45 328 1282.96 107584 885.70 65536 256 895.22 67600 260 1121.08 87616 296 69696 264 1058.57 97344 312 1220.96 340 1348.19 115600 99856 316 1185.19 814.95 71824 268 372 1313.02 138384 324 1208.13 104976 75625 275 1099.10 90000 300 1141.67 400 1366.43 160000 385 1332.02 148225 866.09 46656 216 375 1406.50 140625 952.30 75625 275 385 1370.02 148225 365 1365.20 133225 355 1336.96 126025 378 1443.26 142884 99225 315 1212.80 11001 42403.00 3647252
Cara Perhitungan : DENGAN MODEL UNDERWOOD b=
𝑛.∑ 𝑥𝑦− ∑ 𝑥.∑ 𝑦
=
𝑛 ∑𝑥 2−(∑𝑥) 2 36 𝑥 42403.00−(11001 x 135.16) 36 𝑥 3647252−(11001)2
= 0.00038 a = 𝑦̅ - b𝑥̅ = 3.75 - (0.00038 x 305.58)
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
= 3.63 Dj = -1 / 0.00038 = - 1 / 0.00038
Dj = 2631.58 Uf = ea = e3.63 = 37.71 Us = Uf x e-D/Dj = 37,71 x e216/2631.58 = 40.93 Q = Uf x D x e-D/Dj = 37,71 x 216 x e216/2631.58 = 8842.14
MODEL UNDERWOOD Data penyajian : D=X 0 216 224 236 248 256 260 264
a 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63
b 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038
Uf 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71
Dj 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58
e^(D/Dj) 1.00 1.09 1.09 1.09 1.10 1.10 1.10 1.11
Us 37.71 40.94 41.06 41.25 41.44 41.57 41.63 41.69
Q 0.00 8842.80 9198.23 9735.28 10277.05 10640.87 10823.57 11006.81
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
268 275 275 284 284 284 296 300 304 312 315 316 320 324 328 336 340 340 344 352 355 365 372 375 378 385 385 400 400 2631.58 b a Uf -1/b = Dj Qmaks
3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63
0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038
37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71
2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58
1.11 1.11 1.11 1.11 1.11 1.11 1.12 1.12 1.12 1.13 1.13 1.13 1.13 1.13 1.13 1.14 1.14 1.14 1.14 1.14 1.14 1.15 1.15 1.15 1.15 1.16 1.16 1.16 1.16 2.72
41.76 11190.57 41.87 11513.45 41.87 11513.45 42.01 11930.99 42.01 11930.99 42.01 11930.99 42.20 12491.95 42.27 12680.02 42.33 12868.63 42.46 13247.49 42.51 13390.12 42.52 13437.74 42.59 13628.53 42.65 13819.88 42.72 14011.78 42.85 14397.23 42.91 14590.79 42.91 14590.79 42.98 14784.90 43.11 15174.80 43.16 15321.58 43.32 15813.15 43.44 16159.35 43.49 16308.24 43.54 16457.46 43.65 16806.88 43.65 16806.88 43.90 17561.50 43.90 17561.50 102.51 269774.07
0.00038 3.63 37.71 -2631.58 269774.07
Hubungan kecepatan. volume dan kerapatan model Underwood dalam grafik Grafik Hubungan Q-vs-D
40000 20000 0 -10000
-5000
0
me (Q)
-20000 -40000
5000
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Grafik Hubungan V-vs-D
Grafik hubungan V vs Q
50
50
45
Kecepatan (V)
45
40 Kecepatan (V)
35 30 25
40 35 30 25
20
20
15
15
10
10
5
5
0 HUBUNGAN KECAPATAN DAN KERAPATAN -10000
No 1 2 3 4 5 6 7
-5000
0
Us= Y Kerapatan D = (D) X 55.61 284 54.42 320 61.42 344 40.09 284 44.96 400 40.67 340 39.45 352
5000
Waktu 10:05:00 10:10:00 10:15:00 10:20:00 10:25:00 10:30:00 10:35:00
-150000
0 -50000
Volume (Q)
50000
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
34.17 56.76 44.45 57.19 49.97 38.58 49.97 31.81 31.29 44.14 55.13 50.07 52.74 42.55 20.92 34.11 41.63 54.42 44.95 30.45 31.81 55.13 42.55 31.91 35.11 42.11 43.21 45.52 47.00
336 284 236 224 248 304 328 256 260 296 264 312 340 316 268 372 324 275 300 400 385 216 375 275 385 365 355 378 315
10:40:00 10:45:00 10:50:00 10:55:00 11:00:00 11:05:00 11:10:00 11:15:00 11:20:00 11:25:00 11:30:00 11:35:00 11:40:00 11:45:00 11:50:00 11:55:00 12:00:00 12:05:00 12:10:00 12:15:00 12:20:00 12:25:00 12:30:00 12:35:00 12:40:00 12:45:00 12:50:00 12:55:00 13:00:00
HUBUNGAN ANTARA KECEPATAN KERAPATAN DAN WAKTU
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
70.00 60.00 50.00 40.00 Us= Y
30.00
D=X
20.00 10.00 0.00 1
3
5
7
9
11 13 15 17 19 21 23 25 27 29 31 33 35
BAB III PENYAJIAN DAN ANALISA DATA 4.1
Model Greenshield No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
Us = Y 63.45 60.38 62.12 62.54 60.87 59.19 62.06 62.9 62.77 60.68 61.91 64.36 61.8 63.44 62.09 60.89 63.38 64.2 62.75 61.93 62.98 60.25 60.92 61.64 61.19 59.16 61.99 58.79 60.23 61.46 59.83 60.9 61.56 61.02 59.24
D=X 22.18 22.77 22.93 24.81 24.78 24.33 22.24 22.38 25.37 27.96 24.01 21.76 22.91 23.66 21.84 21.34 21.6 23.44 24.02 26.62 26.35 28.84 29.63 26.96 27.67 29.55 28.67 28.43 27.38 24.99 29.36 27.47 25.52 25.41 26.15
XY 1407.32 1374.85 1424.41 1551.62 1508.36 1440.09 1380.21 1407.70 1592.47 1696.61 1486.46 1400.47 1415.84 1500.99 1356.05 1299.39 1369.01 1504.85 1507.26 1648.58 1659.52 1737.61 1805.06 1661.81 1693.13 1748.18 1777.25 1671.40 1649.10 1535.89 1756.61 1672.92 1571.01 1550.52 1549.13
X^2 491.95 518.47 525.78 615.54 614.05 591.95 494.62 500.86 643.64 781.76 576.48 473.50 524.87 559.80 476.99 455.40 466.56 549.43 576.96 708.62 694.32 831.75 877.94 726.84 765.63 873.20 821.97 808.26 749.66 624.50 862.01 754.60 651.27 645.67 683.82
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 36
62 2216.87
23.69 907.02
1468.78 561.22 55780.46 23079.89
Cara Perhitungan : Dengan Model Greenshield b=
𝑛.∑ 𝑥𝑦− ∑ 𝑥.∑ 𝑦 𝑛 ∑𝑥 2−(∑𝑥) 2
=
36 𝑥 55780,46−(907,02 𝑥 2216,87) 36 𝑥 23079,89− (907,02)2
= - 0,323 a = 𝑦̅ - b𝑥̅ = 61,58 – (-0.323 x 25,195 ) = 69,717 dj = =-
𝑎 𝑏 69,717 − 0.323
= 215,845 kend/jam Dmax = ½ Dj= 107,922 kend/km Uf = a = 69,717 Us = uf -
𝑢𝑓 𝑑𝑗
.D 69,717
= 69,717 –
215,845
x 107,922
= 34,858 km/jam Q = ( a*D) - (
𝑎 𝐷𝑗
)*( D^2)
= (69,717*107,922) – (
69,717
215,284
)*( 107,922^2) = 3762,21
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
MODEL GREENSHIELD D=X 0 21.34 21.6 21.76 21.84 22.18 22.24 22.38 22.77 22.91 22.93 23.44 23.66 23.69 24.01 24.02 24.33 24.78 24.81 24.99 25.37 25.41 25.52 25.96 26.15 26.35 26.62 26.96 27.38 27.47 27.67 28.43 28.67 28.84 29.36 29.55 29.63
a 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717 69.717
b -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323 -0.323
Us 69.72 62.82 62.74 62.69 62.66 62.55 62.53 62.49 62.36 62.32 62.31 62.15 62.07 62.07 61.96 61.96 61.86 61.71 61.70 61.65 61.52 61.51 61.47 61.33 61.27 61.21 61.12 61.01 60.87 60.84 60.78 60.53 60.46 60.40 60.23 60.17 60.15
Q 0.00 1340.67 1355.19 1364.10 1368.55 1387.42 1390.75 1398.49 1419.99 1427.69 1428.78 1456.70 1468.69 1470.33 1487.70 1488.25 1505.02 1529.25 1530.86 1540.52 1560.83 1562.96 1568.82 1592.18 1602.23 1612.78 1626.98 1644.80 1666.71 1671.39 1681.77 1720.99 1733.29 1741.99 1768.47 1778.10 1782.14
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 107.922 215.845
69.717 69.717
b a = Uf Dj Dmax Qmax
-0.323 -0.323
34.86 0.00
3762.02 0.00
-0.323 69.717 215.845 107.922 3762.02
Hubungan kecepatan. volume dan kerapatan dalam model Greendshield dalam grafik.
Q vs D 4000.00
Q
3500.00 3000.00 2500.00 2000.00 1500.00 1000.00 500.00
D
0.00 0
50
100
150
200
250
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Us vs D 80.00
Us
70.00 60.00
50.00 40.00 30.00 20.00 10.00 0.00
D 0
50
100
150
200
250
Us vs Q 80.00
Us
70.00 60.00 50.00 40.00 30.00 20.00 10.00
Q
0.00 0.00
1000.00
2000.00
3000.00
4000.00
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
4.2
Model Greenberg
Data : No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Us = Y 63.45 60.38 62.12 62.54 60.87 59.19 62.06 62.9 62.77 60.68 61.91 64.36 61.8 63.44 62.09 60.89
D 22.18 22.77 22.93 24.81 24.78 24.33 22.24 22.38 25.37 27.96 24.01 21.76 22.91 23.66 21.84 21.34
Ln D = X 3.10 3.13 3.13 3.21 3.21 3.19 3.10 3.11 3.23 3.33 3.18 3.08 3.13 3.16 3.08 3.06
XY 196.64 188.71 194.59 200.83 195.39 188.92 192.50 195.50 202.97 202.11 196.78 198.23 193.53 200.71 191.47 186.36
X^2 9.60 9.77 9.81 10.31 10.30 10.19 9.62 9.66 10.46 11.09 10.10 9.49 9.81 10.01 9.51 9.37
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
63.38 64.2 62.75 61.93 62.98 60.25 60.92 61.64 61.19 59.16 61.99 58.79 60.23 61.46 59.83 60.9 61.56 61.02 59.24 62 2216.87
21.6 23.44 24.02 26.62 26.35 28.84 29.63 26.96 27.67 29.55 28.67 28.43 27.38 24.99 29.36 27.47 25.52 25.41 26.15 23.69 907.02
3.07 3.15 3.18 3.28 3.27 3.36 3.39 3.29 3.32 3.39 3.36 3.35 3.31 3.22 3.38 3.31 3.24 3.24 3.26 3.17 115.98
Cara Perhitungan : Dengan Model Greenberg b=
𝑛.∑ 𝑥𝑦− ∑ 𝑥.∑ 𝑦
=
𝑛 ∑𝑥 2−(∑𝑥) 2 36 𝑥 7139,19−(115,98 x 2216,87) 36 𝑥 374,01−(115,982 )
= -7,023
; b = -Um = 7,832
a = 𝑦̅ - b𝑥̅ = 61,58–( -7,832 x 3,22) = 86,799 a = Um Ln Dj 86,799 = 7,832 ln Dj
194.75 202.52 199.48 203.23 206.04 202.55 206.44 203.06 203.17 200.32 208.03 196.80 199.35 197.81 202.20 201.77 199.42 197.41 193.35 196.23 7139.19
9.44 9.95 10.11 10.77 10.70 11.30 11.48 10.85 11.02 11.47 11.26 11.21 10.95 10.36 11.42 10.98 10.49 10.47 10.65 10.02 374.01
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti Ln Dj = 86,799 / 7,832 = 11,08 Dj
= e11,08 = 65030,71
Us = Um Ln Dj – Um Ln D = 7,832 Ln 65030,71 – 7,832 Ln 21,32 = 62,84 Q = Us x D = 62,84x 21,32 = 1339,66
MODEL GREENBERG Data penyajian : D=X 0 21.34 21.6 21.76 21.84 22.18 22.24 22.38 22.77 22.91 22.93 23.44 23.66 23.69
Um 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832
a 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799
Dj 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71
Us 86.80 62.83 62.73 62.68 62.65 62.53 62.51 62.46 62.32 62.27 62.27 62.09 62.02 62.01
Q 0.00 1340.78 1355.07 1363.85 1368.24 1386.85 1390.13 1397.78 1419.06 1426.69 1427.78 1455.49 1467.42 1469.05
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti 24.01 24.02 24.33 24.78 24.81 24.99 25.37 25.41 25.52 25.96 26.15 26.35 26.62 26.96 27.38 27.47 27.67 28.43 28.67 28.84 29.36 29.55 29.63 65030.71
b a b=-Um Dj Qmax
7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832 7.832
86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799 86.799
65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71 65030.71
61.91 61.90 61.80 61.66 61.65 61.59 61.47 61.46 61.43 61.29 61.24 61.18 61.10 61.00 60.88 60.85 60.80 60.58 60.52 60.47 60.33 60.28 60.26 0.00
1486.37 1486.91 1503.66 1527.91 1529.52 1539.21 1559.61 1561.76 1567.66 1591.21 1601.36 1612.04 1626.43 1644.52 1666.83 1671.60 1682.20 1722.37 1735.02 1743.97 1771.31 1781.28 1785.47 62.44
-7,832 86,799 7,832 65030,71 1785,47
Hubungan kecepatan. volume dan kerapatan model greenberg dalam grafik
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Q vs D
Q 2500.00
2000.00 1500.00 1000.00 500.00
D
0.00 -20000
0
20000
40000
60000
80000
Us vs D 100.00 90.00 Us 80.00 70.00 60.00 50.00 40.00 30.00 20.00 10.00 0.00 -10000 0
D 10000
20000
30000
40000
50000
60000
70000
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Us vs Q Us
100.00 90.00 80.00 70.00 60.00 50.00 40.00 30.00 20.00 10.00 0.00
Q 0.00
500.00
1000.00
1500.00
2000.00
4.3 MODEL UNDERWOOD Data : No 1 2 3 4 5 6 7 8 9 10 11
Us 55.61 54.42 61.42 40.09 44.96 40.67 39.45 34.17 56.76 44.45 57.19
Ln Us = Y 4.02 4.00 4.12 3.69 3.81 3.71 3.68 3.53 4.04 3.79 4.05
D=X 284 320 344 284 400 340 352 336 284 236 224
XY 1141.22 1278.98 1416.48 1048.31 1522.29 1259.85 1293.64 1186.55 1147.01 895.46 906.40
X^2 80656 102400 118336 80656 160000 115600 123904 112896 80656 55696 50176
2500.00
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
49.97 38.58 49.97 31.81 31.29 44.14 55.13 50.07 52.74 42.55 20.92 34.11 41.63 54.42 44.95 30.45 31.81 55.13 42.55 31.91 35.11 42.11 43.21 45.52 47.00 1576.27
3.91 3.65 3.91 3.46 3.44 3.79 4.01 3.91 3.97 3.75 3.04 3.53 3.73 4.00 3.81 3.42 3.46 4.01 3.75 3.46 3.56 3.74 3.77 3.82 3.85 135.16
970.02 61504 248 92416 304 1110.45 328 1282.96 107584 885.70 65536 256 895.22 67600 260 1121.08 87616 296 69696 264 1058.57 97344 312 1220.96 340 1348.19 115600 99856 316 1185.19 814.95 71824 268 372 1313.02 138384 324 1208.13 104976 75625 275 1099.10 90000 300 1141.67 400 1366.43 160000 385 1332.02 148225 866.09 46656 216 375 1406.50 140625 952.30 75625 275 385 1370.02 148225 365 1365.20 133225 355 1336.96 126025 378 1443.26 142884 99225 315 1212.80 11001 42403.00 3647252
Cara Perhitungan : DENGAN MODEL UNDERWOOD b=
𝑛.∑ 𝑥𝑦− ∑ 𝑥.∑ 𝑦
=
𝑛 ∑𝑥 2−(∑𝑥) 2 36 𝑥 42403.00−(11001 x 135.16) 36 𝑥 3647252−(11001)2
= 0.00038 a = 𝑦̅ - b𝑥̅ = 3.75 - (0.00038 x 305.58)
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
= 3.63 Dj = -1 / 0.00038 = - 1 / 0.00038
Dj = 2631.58 Uf = ea = e3.63 = 37.71 Us = Uf x e-D/Dj = 37,71 x e216/2631.58 = 40.93 Q = Uf x D x e-D/Dj = 37,71 x 216 x e216/2631.58 = 8842.14
MODEL UNDERWOOD Data penyajian : D=X 0 216 224 236 248 256 260 264
a 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63
b 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038
Uf 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71
Dj 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58
e^(D/Dj) 1.00 1.09 1.09 1.09 1.10 1.10 1.10 1.11
Us 37.71 40.94 41.06 41.25 41.44 41.57 41.63 41.69
Q 0.00 8842.80 9198.23 9735.28 10277.05 10640.87 10823.57 11006.81
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
268 275 275 284 284 284 296 300 304 312 315 316 320 324 328 336 340 340 344 352 355 365 372 375 378 385 385 400 400 2631.58 b a Uf -1/b = Dj Qmaks
3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63 3.63
0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038 0.00038
37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71 37.71
2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58 2631.58
1.11 1.11 1.11 1.11 1.11 1.11 1.12 1.12 1.12 1.13 1.13 1.13 1.13 1.13 1.13 1.14 1.14 1.14 1.14 1.14 1.14 1.15 1.15 1.15 1.15 1.16 1.16 1.16 1.16 2.72
41.76 11190.57 41.87 11513.45 41.87 11513.45 42.01 11930.99 42.01 11930.99 42.01 11930.99 42.20 12491.95 42.27 12680.02 42.33 12868.63 42.46 13247.49 42.51 13390.12 42.52 13437.74 42.59 13628.53 42.65 13819.88 42.72 14011.78 42.85 14397.23 42.91 14590.79 42.91 14590.79 42.98 14784.90 43.11 15174.80 43.16 15321.58 43.32 15813.15 43.44 16159.35 43.49 16308.24 43.54 16457.46 43.65 16806.88 43.65 16806.88 43.90 17561.50 43.90 17561.50 102.51 269774.07
0.00038 3.63 37.71 -2631.58 269774.07
Hubungan kecepatan. volume dan kerapatan model Underwood dalam grafik Grafik Hubungan Q-vs-D
40000 20000 0 -10000
-5000
0
me (Q)
-20000 -40000
5000
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
Grafik Hubungan V-vs-D
Grafik hubungan V vs Q
50
50
45
Kecepatan (V)
45
40 Kecepatan (V)
35 30 25
40 35 30 25
20
20
15
15
10
10
5
5
0 HUBUNGAN KECAPATAN DAN KERAPATAN -10000
No 1 2 3 4 5 6 7
-5000
0
Us= Y Kerapatan D = (D) X 55.61 284 54.42 320 61.42 344 40.09 284 44.96 400 40.67 340 39.45 352
5000
Waktu 10:05:00 10:10:00 10:15:00 10:20:00 10:25:00 10:30:00 10:35:00
-150000
0 -50000
Volume (Q)
50000
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
34.17 56.76 44.45 57.19 49.97 38.58 49.97 31.81 31.29 44.14 55.13 50.07 52.74 42.55 20.92 34.11 41.63 54.42 44.95 30.45 31.81 55.13 42.55 31.91 35.11 42.11 43.21 45.52 47.00
336 284 236 224 248 304 328 256 260 296 264 312 340 316 268 372 324 275 300 400 385 216 375 275 385 365 355 378 315
10:40:00 10:45:00 10:50:00 10:55:00 11:00:00 11:05:00 11:10:00 11:15:00 11:20:00 11:25:00 11:30:00 11:35:00 11:40:00 11:45:00 11:50:00 11:55:00 12:00:00 12:05:00 12:10:00 12:15:00 12:20:00 12:25:00 12:30:00 12:35:00 12:40:00 12:45:00 12:50:00 12:55:00 13:00:00
HUBUNGAN ANTARA KECEPATAN KERAPATAN DAN WAKTU
REKAYASA LALU LINTAS KELOMPOK : I (Satu) LOKASI : Jl.Ngumban Surbakti
70.00 60.00 50.00 40.00 Us= Y
30.00
D=X
20.00 10.00 0.00 1
3
5
7
9
11 13 15 17 19 21 23 25 27 29 31 33 35
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