PhD Thesis Full Version - Jezan Md Diah

83 4.120

84 4.720

85 2.840

86 2.560 2.860 2.790

87

88 1.600

89 3.200

90 2.160

91 2.480

92

93 2.880 1.760

94 2.680

95 2.520

96 1.600

97 3.240

98 2.000

99

100 1.960

101 1.680

102

103 2.080

104 2.080

105 2.000

106 1.880

107 1.680

108 2.800

109 1.840

110 2.800

111 3.120

112 1.720

19

2.680 1.400 1.920
2.880 1.800 1.600

0.960 2.000
1.760
2.640
2.280
2.040
2.560

2.480 1.720

97

q21

TIME Motor cyles Motor cyles Motor cyles Motor cyles Light Vans
with Medium with Heavy with Buses with Line with

Lorries Lorries Passenger Car

1

2

3 2.400 2.400

4 2.920

5

6

7

8

9

10

11
12 2.800

13
14 3.520

15

16

17

18

19

20

21

22

19

Light Vans Light Vans Light Vans Light Vans Light Vans Light Vans
with Motor with Light with Medium with Heavy with Buses with Line

cyles Vans Lorries Lorries

3.200
2.400

1.600
2.680

2.000

98

23
24
25
26
27
28
29
30 4.360
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52 2.080

19

3.040

2.400

99

53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68 2.240
69
70
71
72
73
74
75
76
77
78
79 2.000
80
81
82

20

2.320
2.280
2.920

00

83

84

85 2.880 2.000

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100 2.560

101

102 1.280

103

104

105

106

107

108

109

110 2.040

111 2.400

112

20

2.240

01

q21

TIME Medium Medium Medium Medium Medium
Lorries with Lorries with Lorries with Lorries with Lorries with
Passenger Motor cyles Light Vans
Medium Heavy
Car Lorries Lorries

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23

20

Medium Medium Heavy Heavy Heavy Heavy
Lorries with Lorries with Lorries with Lorries with Lorries with Lorries with
Passenger Motor cyles Light Vans
Buses Line Medium
Car Lorries

02

24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53

20

03

54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83

20

04

84
85
86
87
88
89
90
91
92 2.400
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112

20

05

q21

TIME Heavy Heavy Heavy Buses with Buses with
Lorries with Lorries with Lorries with Passenger Motor cyles

Heavy Buses Line Car
Lorries

1 2.120
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23

20

Buses with Buses with Buses with Buses with Buses with Total Ideal
Light Vans Medium Heavy Buses Line SafeGap (sec)
Lorries Lorries from Outer to
Inner Lane -

VL10

2.800 5.360
5.640
4.800
11.280
14.920
10.880
5.200
2.800
2.640
6.240
12.880
5.440
3.640
5.720
1.560
1.600
7.280
5.600
1.686
4.000
3.000
4.200
8.920

06

24
25
26
27 3.200
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53

20

6.160
2.680
5.880
6.240
2.520
1.400
4.360
2.800
2.600
3.040
4.240
4.120
3.600
1.320
5.000
2.600
2.400
2.280
3.040
5.560
5.240
3.200
5.640
1.720
4.160
2.630
5.100
2.400
6.640
5.120

07

54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83

20

4.400
2.840
6.760
1.880
6.400
3.200
3.840
1.800
4.480
4.880
3.560
7.880
3.400
2.280
4.320
1.700
5.680
2.320
2.440
1.800
7.760
2.400
8.240
2.760
1.600
6.480
2.000
7.800
4.600
4.120

08

84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112

20

6.120
7.720
8.210
1.800
3.520
3.200
2.160
4.480
2.400
7.320
2.680
2.520
3.200
3.240
5.840
4.400
6.800
1.680
3.320
4.320
4.640
2.000
1.880
1.680
2.800
1.840
4.840
9.720
1.720

09

Tisg using Pcu/min (unit sec/pcu)

TIME Pcu/min Pcu/min To
Inner to Outer to Sa
Outer (se
Inner Inne
Lan

1 3.000 2.000

2 0.750 2.000

3 2.000 3.000

4 3.500 5.000

5 3.000 5.500

6 3.000 3.500

7 2.000 2.000

8 1.750 1.000

9 2.000 0.750

10 3.000 2.750

11 3.000 5.000

12 5.000 2.000 1

13 3.750 2.000 1

14 4.750 4.000 1

15 2.750 1.000

16 1.000 1.000

17 4.000 4.800

18 2.000 2.500

19 1.000 1.000

20 2.000 1.750

21 4.000 2.000

22 1.000 1.500

21

otal Ideal Total Ideal Ideal Safe Gap
afe Gap SafeGap (sec) (sec) for Both
ec) from from Outer to
er to Outer Inner Lane - Lane, Tisg
ne - VL9 (sec/pcu)
VL10

7.793 5.360 2.631
2.560 5.640 2.982
6.720 4.800 2.304
9.360 11.280 2.428
8.120 14.920 2.711
8.760 10.880 3.022
4.400 5.200 2.400
7.040 2.800 3.578
5.320 2.640 2.895
7.300 6.240 2.355
4.080 12.880 2.120
15.840 5.440 3.040
11.140 3.640 2.570
12.760 5.720 2.112
7.800 1.560 2.496
3.480 1.600 2.540
6.785 7.280 1.598
6.000 5.600 2.578
2.300 1.686 1.993
5.680 4.000 2.581
8.780 3.000 1.963
2.640 4.200 2.736

10

23 5.000 3.500

24 5.000 2.500 1

25 0.750 0.750

26 2.000 1.750

27 3.000 1.750

28 1.000 1.000

29 2.750 0.750

30 2.000 0.750

31 1.000 0.750

32 1.000 2.800

33 0.750 1.000

34 1.000 2.800

35 2.750 1.750

36 2.000 2.800

37 2.500 0.750

38 4.000 2.750 1

39 1.000 0.750

40 1.000 0.750

41 4.000 0.750

42 1.000 1.000

43 1.000 1.750

44 0.750 1.750

45 1.000 0.750

46 2.250 2.750

47 0.750 0.750

48 0.750 2.750

49 1.000 0.750

50 1.000 1.500

51 0.750 2.000

52 3.000 3.000

21

5.720 8.920 1.722
12.813 6.160 2.530
2.640 2.680 3.547
5.360 5.880 2.997
9.240 6.240 3.259
2.480 2.520 2.500
7.360 1.400 2.503
4.480 4.360 3.215
2.840 2.800 3.223
3.120 2.600 1.505
2.400 3.040 3.109
5.040 4.240 2.442
6.160 4.120 2.284
3.320 3.600 1.442
9.760 1.320 3.409
11.360 5.000 2.424
3.600 2.600 3.543
2.680 2.400 2.903
8.600 2.280 2.291
3.200 3.040 3.120
3.000 5.560 3.113
3.680 5.240 3.568
2.240 3.200 3.109
7.280 5.640 2.584
0.947 1.720 1.778
3.200 4.160 2.103
2.770 2.630 3.086
3.360 5.100 3.384
2.720 2.400 1.862
5.080 6.640 1.953

11

53 0.750 2.500

54 2.000 1.750

55 0.750 2.000

56 4.500 3.750 1

57 1.000 0.750

58 3.750 2.250 1

59 3.750 0.750 1

60 3.000 1.750 1

61 2.750 0.750 1

62 2.000 1.500

63 3.000 2.750

64 0.750 1.500

65 0.750 2.750

66 1.750 1.500

67 1.750 0.750

68 3.250 3.000

69 0.750 1.000

70 2.000 2.750

71 1.000 0.750

72 1.000 2.000

73 1.500 0.750

74 2.000 3.750

75 1.750 0.750

76 3.750 2.500

77 2.000 1.750

78 6.000 1.000 1

79 2.500 2.750

80 2.000 1.000

81 4.750 3.500 1

82 6.000 2.750 1

21

3.200 5.120 2.560
2.040 4.400 1.717
2.560 2.840 1.964
12.080 6.760 2.284
2.560 1.880 2.537
12.670 6.400 3.178
11.960 3.200 3.369
10.600 3.840 3.040
10.800 1.800 3.600
4.520 4.480 2.571
9.680 4.880 2.532
1.920 3.560 2.436
1.360 7.880 2.640
5.760 3.400 2.818
6.640 2.280 3.568
8.320 4.320 2.022
2.100 1.700 2.171
3.240 5.680 1.878
2.840 2.320 2.949
1.880 2.440 1.440
4.240 1.800 2.684
4.440 7.760 2.122
4.520 2.400 2.768
9.640 8.240 2.861
3.200 2.760 1.589
10.680 1.600 1.754
8.720 6.480 2.895
5.887 2.000 2.629
12.000 7.800 2.400
14.120 4.600 2.139

12

83 3.000 2.000 1
84 3.000 2.750 1
85 3.000 3.000 1
86 4.500 3.750 1
87 5.750 1.000 1
88 4.750 1.750
89 2.750 2.800 1
90 3.750 0.750 1
91 2.000 2.750
92 3.500 0.750 21
93 4.000 2.500
94 5.000 1.000
95 3.000 0.750
96 2.750 1.750
97 4.800 1.750
98 1.750 2.750
99 3.000 1.750
100 4.000 2.500
101 0.750 1.000
102 1.000 3.000
103 3.000 1.750
104 1.750 3.000
105 2.000 2.000
106 1.000 0.750
107 1.750 1.000
108 0.750 2.000
109 6.000 3.000
110 4.500 3.000
111 4.000 3.500
112 1.000 1.000

7.440 4.120 2.312
7.166 6.120 2.311
9.120 7.720 2.807
13.980 8.210 2.690
8.800 1.800 1.570
11.320 3.520 2.283
9.160 3.200 2.227
7.080 2.160 2.053
4.520 4.480 1.895
12.480 2.400 3.501
9.800 7.320 2.634
18.053 2.680 3.456
10.480 2.520 3.467
7.940 3.200 2.476
8.400 3.240 1.777
3.920 5.840 2.169
6.760 4.400 2.349
9.800 6.800 2.554
1.320 1.680 1.714
3.200 3.320 1.630
6.840 4.320 2.349
4.440 4.640 1.912
5.360 2.000 1.840
2.190 1.880 2.326
4.800 1.680 2.356
1.600 2.800 1.600
16.964 1.840 2.089
17.480 4.840 2.976
2.400 9.720 1.616
2.840 1.720 2.280

13

q11 q22 q12 q21

TIME Total Flow Total Flow Conflicting Conflic
at Weaving at Weaving Flow (Pcu/hr) Flow (Pc
from Inner to from Ou
- Inner - Outer
Lane Lane Outer Lane Inner L
(Pcu/hr) (Pcu/hr)

1 445 1335 180 120
120
2 1081 1335 45 180
300
3 1017 954 120 330
210
4 1208 1589 210 120
60
5 1462 1335 180 45
165
6 1716 1589 180 300
120
7 1335 1526 120 120
240
8 826 1017 105 60
60
9 1589 1716 120 288
150
10 1971 1208 180 60
105
11 1716 1081 180 120
90
12 1589 1780 300
21
13 2161 1526 225

14 1653 2289 285

15 1271 2606 165

16 1907 1844 60

17 2416 1526 240

18 2606 1589 120

19 2225 1716 60

20 2606 1907 120

21 1907 1780 240

22 2161 1462 60

1 Qwsf Qcf Qncf Tisg

cting Total Max. Total Total Non- Ideal Safe
cu/hr) Flow at Conflicting Conflicting Gap (sec)
uter to Weaving Flow (Pcu/hr) Flow (Pcu/hr) for Both
Lane (Pcu/hr)
Lane

0 2080 300 1780 2.631
0 2581 165 2416 2.982
0 2271 300 1971 2.304
0 3307 510 2797 2.428
0 3307 510 2797 2.711
0 3696 390 3306 3.022
0 3101 240 2861 2.400
0 2009 165 1844 3.578
5 3471 165 3306 2.895
5 3524 345 3179 2.355
0 3277 480 2797 2.120
0 3789 420 3369 3.040
0 4032 345 3687 2.570
0 4466 525 3941 2.112
0 4103 225 3878 2.496
0 3871 120 3751 2.540
8 4469 528 3941 1.598
0 4466 270 4196 2.578
0 4061 120 3941 1.993
5 4739 225 4514 2.581
0 4047 360 3687 1.963
0 3774 150 3624 2.736

14

23 1653 1844 300 210
150
24 2352 1589 300 45
105
25 1653 826 45 105
60
26 1335 890 120 45
45
27 1526 1271 180 45
168
28 1335 1716 60 60
168
29 1589 1526 165 105
168
30 890 1335 120 45
165
31 1335 1526 60 45
45
32 826 1144 60 45
60
33 699 954 45 105
105
34 826 1144 60 45
165
35 890 1462 165 45
165
36 699 826 120 45
90
37 763 1017 150 120
180
38 763 763 240
21
39 1081 1335 60

40 636 1589 60

41 699 2161 240

42 763 1462 60

43 954 1399 60

44 1144 1589 45

45 572 2543 60

46 826 1589 135

47 318 1271 45

48 572 890 45

49 636 1462 60

50 381 1780 60

51 826 1653 45

52 890 1081 180

0 4006 510 3496 1.722
0 4391 450 3941 2.530
5 2569 90 2479 3.547
5 2450 225 2225 2.997
5 3082 285 2797 3.259
0 3171 120 3051 2.500
5 3325 210 3115 2.503
5 2390 165 2225 3.215
5 2966 105 2861 3.223
8 2199 228 1971 1.505
0 1758 105 1653 3.109
8 2199 228 1971 2.442
5 2622 270 2352 2.284
8 1814 288 1526 1.442
5 1975 195 1780 3.409
5 1931 405 1526 2.424
5 2521 105 2416 3.543
5 2330 105 2225 2.903
5 3146 285 2861 2.291
0 2345 120 2225 3.120
5 2517 165 2352 3.113
5 2884 150 2734 3.568
5 3220 105 3115 3.109
5 2716 300 2416 2.584
5 1679 90 1589 1.778
5 1672 210 1462 2.103
5 2203 105 2098 3.086
0 2311 150 2161 3.384
0 2644 165 2479 1.862
0 2331 360 1971 1.953

15

53 509 1589 45 150
105
54 381 1589 120 120
225
55 954 1653 45 45
135
56 954 1716 270 45
105
57 763 1780 60 45
90
58 1017 1780 225 165
90
59 954 1144 225 165
90
60 636 1399 180 45
180
61 763 1780 165 60
165
62 826 1526 120 45
120
63 1017 1653 180 45
225
64 954 2034 45 45
150
65 890 1844 45 105
60
66 699 1653 105 165
60
67 954 1589 105 210
165
68 509 1271 195
21
69 699 1907 45

70 1144 1589 120

71 381 1526 60

72 1081 1844 60

73 826 2098 90

74 1081 2606 120

75 1716 2289 105

76 1399 2543 225

77 1526 1844 120

78 1716 2034 360

79 1526 2098 150

80 1462 2670 120

81 2606 1526 285

82 1271 2479 360

0 2293 195 2098 2.560
5 2196 225 1971 1.717
0 2771 165 2606 1.964
5 3165 495 2670 2.284
5 2648 105 2543 2.537
5 3157 360 2797 3.178
5 2368 270 2098 3.369
5 2319 285 2034 3.040
5 2753 210 2543 3.600
0 2562 210 2352 2.571
5 3015 345 2670 2.532
0 3123 135 2988 2.436
5 2944 210 2734 2.640
0 2547 195 2352 2.818
5 2693 150 2543 3.568
0 2155 375 1780 2.022
0 2711 105 2606 2.171
5 3019 285 2734 1.878
5 2012 105 1907 2.949
0 3104 180 2924 1.440
5 3059 135 2924 2.684
5 4032 345 3687 2.122
5 4155 150 4005 2.768
0 4316 375 3941 2.861
5 3594 225 3369 1.589
0 4171 420 3751 1.754
5 3939 315 3624 2.895
0 4312 180 4132 2.629
0 4627 495 4132 2.400
5 4276 525 3751 2.139

16

83 1017 1907 180 120
165
84 1589 2734 180 180
225
85 1399 1589 180 60
105
86 1462 2734 270 168
45
87 1081 1971 345 165
45
88 1780 1399 285 150
60
89 1716 1716 165 45
105
90 1526 1462 225 105
165
91 1526 2034 120 105
150
92 1780 1780 210 60
180
93 1844 2225 240 105
180
94 1716 2289 300 120
45
95 1780 2034 180 60
120
96 1844 1907 165 180
180
97 1335 2098 288 210
60
98 1780 1589 105
21
99 1208 1526 180

100 1081 2225 240

101 1335 2225 45

102 1144 2289 60

103 1271 2161 180

104 1653 1399 105

105 1271 2161 120

106 1144 1844 60

107 954 2161 105

108 1780 1780 45

109 1716 2098 360

110 1462 1907 270

111 1716 1907 240

112 1335 2289 60

0 3224 300 2924 2.312
5 4668 345 4323 2.311
0 3348 360 2988 2.807
5 4691 495 4196 2.690
0 3456 405 3051 1.570
5 3569 390 3179 2.283
8 3766 333 3433 2.227
5 3258 270 2988 2.053
5 3845 285 3560 1.895
5 3815 255 3560 3.501
0 4459 390 4069 2.634
0 4365 360 4005 3.456
5 4039 225 3814 3.467
5 4021 270 3751 2.476
5 3826 393 3433 1.777
5 3639 270 3369 2.169
5 3019 285 2734 2.349
0 3696 390 3306 2.554
0 3665 105 3560 1.714
0 3673 240 3433 1.630
5 3718 285 3433 2.349
0 3336 285 3051 1.912
0 3673 240 3433 1.840
5 3093 105 2988 2.326
0 3280 165 3115 2.356
0 3725 165 3560 1.600
0 4354 540 3814 2.089
0 3819 450 3369 2.976
0 4074 450 3624 1.616
0 3744 120 3624 2.280

17

Sample calculation of pcu for Persiaran R
Vh

Car 1 + n…
Total Car = 6276

Bus 1 + n…
Total Car = 184

HGV 1 + n…
Total HGV = 12

LGV 1 + n…
Total LGV = 131

MCy 1 + n…
Total Mcy = 3156

MPV 1 + n…
Total MPV = 711

Van 1 + n…
Total Van = 231

TOTAL = 10701

To convert into pcu/hr, an example: if the value is 300 vh/hr -->

21

Raja Muda (North) of Bulatan Bistari)
Pcu

1 + n…
6276

2.8 + n…
515.2

2.8 + n…
33.6

2 + n…
262

0.75 + n…
2367

2 + n…
1422

2 + n… PCU Rate is:- 1.059508457 Pcu/Vh
462

11337.8

therefore; 300 x 1.059508457 = 318 pcu/hr [where: - vh/hr x pcu/vh = pcu/hr]

18

APPENDIX B
Plot of Data File from Descriptive Statistic

Histogram of q11

Frequency 18
16
14 800 1200 1600 2000 2400
12
10

8
6
4
2
0

400

q11 (pcu/hr)

Histogram of q22

Frequency 14
12
10 1200 1500 1800 2100 2400 2700

8
6
4
2
0

900

q22 (pcu/hr)

219

Frequency 20 Histogram of q12
15
10 120 180 240 300 360

5 q12 (pcu/hr)
0

60

Frequency 40 Histogram of q21
30
20 100 150 200 250 300
10
q21 (pcu/hr)
0
50

220

Histogram of Qncf

Frequency 14
12
10 2000 2500 3000 3500 4000 4500

8
6
4
2
0

1500

Qncf (pcu/hr)

Frequency Histogram of Qcf

14
12
10

8
6
4
2
0

150 225 300 375 450 525

Qcf (pcu/hr)

221

Histogram of Qwsf

18

16

14

12

Frequency 10

8

6

4

2

0 2000 2500 3000 3500 4000 4500

Qwsf (pcu/hr)

Frequency Histogram of Tisg

20

15

10

5

0
1.0 1.5 2.0 2.5 3.0 3.5 4.0

Tisg (second)

222

7AM - 7.30AM APP
Start Reduced Weaving S
Def
Line:1 Time:00:00:00:000
Line:2 Line Data:16777215+1+16777215+8
Line:3 106.25+64.64+159.25+65.92+16777215+1+1
Line:4 162.50+65.92+214.00+66.88+16777215+1+1
Line:5 0.00+0.00+0.00+0.00+0+0+0+0
Line:6 0.00+0.00+0.00+0.00+0+0+0+0
Line:7 0.00+0.00+0.00+0.00+0+0+0+0
Line:8 0.00+0.00+0.00+0.00+0+0+0+0
Line:9 0.00+0.00+0.00+0.00+0+0+0+0
Line:10 0.00+0.00+0.00+0.00+0+0+0+0
Line:11 0.00+0.00+0.00+0.00+0+0+0+0
Line:12 0.00+0.00+0.00+0.00+0+0+0+0
Line:13 0.00+0.00+0.00+0.00+0+0+0+0
Line:14 0.00+0.00+0.00+0.00+0+0+0+0
Line:15 0.00+0.00+0.00+0.00+0+0+0+0
Line:16 0.00+0.00+0.00+0.00+0+0+0+0
Line:17 0.00+0.00+0.00+0.00+0+0+0+0
Line:18 0.00+0.00+0.00+0.00+0+0+0+0
Line:19 0.00+0.00+0.00+0.00+0+0+0+0
Line:20 0.00+0.00+0.00+0.00+0+0+0+0
Line:21 0.00+0.00+0.00+0.00+0+0+0+0
Line:22 0.00+0.00+0.00+0.00+0+0+0+0
Line:23 0.00+0.00+0.00+0.00+0+0+0+0
0.00+0.00+0.00+0.00+0+0+0+0
0.00+0.00+0.00+0.00+0+0+0+0

22

PENDIX C:
Section Flow Qwsf : Samples

16777215+8
16777215+8

23