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Commen Cycle Time
All Red Time
Amber Time
Effective Green

Phase 1
760 Cars per Hour
Phase 4
324 Cars per Hour

Phase 3
852 Cars per Hour

Phase 2
1048 Cars per Hour

Phase Traffic Volume
1
760
2
1048
3
852
4
324
Total
2984

180
2
3
160

No. of Lanes
2
2
2
1

sec.
sec.
sec.
sec.

Traffic / Lane
380
524
426
324
1654

Green Time Split
0.23
0.32
0.26
0.20
1

Effective Green Time
37
51
41
31
160

Que Length / veh.
13
25
17
17
Intersection (1)
Phase 1
1848 Cars per Hour

Intersection (2)
Phase 1
1600 Cars per Hour

Phase 2
440Cars per Hour

Phase 3

1164 Cars per Hour

Phase 2
1280 Cars per Hour

Phase 3
1276 Cars per Hour
Itersection (1)
All Red Time = 2 sec.
Amber Time = 3 sec.

Phase
1
2
3
Total

No. of
Lanes

Saturation Traffic Flow
per lane (car/hr)

Total Saturation Flow
(car/hr)

Actual Flow
(car/hr)

Flow Saturation Flow
Ratio

Green Time Split

Green Time (sec.)

Que Length / veh.

3
2
3

1800
1800
1800
5400

5400
3600
5400
14400

1848
440
1164
3452

0.34
0.12
0.22
0.68

0.50
0.18
0.32
1.00

28
10
18
56

22
6
13

Lost = (2+3)*3 = 15 sec.
1.5๐ฟ
1.5 (15)
๐ถยฐ =
=
= 70.31 โ‰ˆ 70 ๐‘ ๐‘’๐‘. ๐ถ๐‘ฆ๐‘๐‘™๐‘’ ๐‘‡๐‘–๐‘š๐‘’
1โˆ’ ๐‘Œ
1 โˆ’ 0.68
๐ธ๐‘“๐‘“๐‘’๐‘๐‘ก๐‘–๐‘ฃ๐‘’ ๐บ๐‘Ÿ๐‘’๐‘’๐‘› ๐‘‡๐‘–๐‘š๐‘’ = 70 โˆ’ 15 = 55 ๐‘ ๐‘’๐‘.

Phase 1 Green time =
Phase 2 Green time =
Phase 3 Green time =
Total Green time =
Cycle time =

27.67973856
9.885620915
17.43464052
56
56 + 15 = 71 sec.

take 28 sec.
take 10 sec.
take 18 sec.
sec.
Itersection (2)
All Red Time = 2 sec.
Amber Time = 3 sec.

Phase
1
2
3
Total

Lost =

No. of
Lanes

Saturation Traffic Flow
per lane (car/hr)

Total Saturation Flow
(car/hr)

Actual Flow
(car/hr)

Flow Saturation Flow
Ratio

Green Time Split

Green Time (sec.)

Que Length / veh.

3
3
2

1800
1800
1800
5400

5400
5400
3600
14400

1600
1280
1276
4156

0.30
0.24
0.35
0.89

0.33
0.27
0.40
1.00

17
19
20
56

14
6
13

(2+3)*3 = 15 sec.

1.5๐ฟ
1.5 (15)
๐ถยฐ =
=
= 204.54 ๐‘‡๐‘Ž๐‘˜๐‘’ 70 ๐‘ ๐‘’๐‘. ๐ถ๐‘ฆ๐‘๐‘™๐‘’ ๐‘‡๐‘–๐‘š๐‘’
1โˆ’ ๐‘Œ
1 โˆ’ 0.89
๐ธ๐‘“๐‘“๐‘’๐‘๐‘ก๐‘–๐‘ฃ๐‘’ ๐บ๐‘Ÿ๐‘’๐‘’๐‘› ๐‘‡๐‘–๐‘š๐‘’ = 70 โˆ’ 15 = 55 ๐‘ ๐‘’๐‘.

28 sec.
Inter. 1
71 sec.

๐ฟ
230 ๐‘š
=
= 28.75 ๐‘ ๐‘’๐‘. offset
๐‘†
8
๐ฟ
๐‘ก ๐‘–๐‘‘๐‘’๐‘Ž๐‘™ = โˆ’ QH โˆ’ Loss
๐‘†
230
=
โˆ’ 14 โˆ— 2 + 2 = 2.75 ๐‘ ๐‘’๐‘.
8

Phase 1 Green time =
Phase 2 Green time =
Phase 3 Green time =
Total Green time =
Cycle time =

16.2962963
13.03703704
19.49444444
56
56 + 15 = 71 sec.

๐‘ก ๐‘–๐‘‘๐‘’๐‘Ž๐‘™ =

17 sec.
Inter. 2
71 sec.

take 17 sec.
take 14 sec.
take 20 sec.
sec.

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Traffic Signal Optimization for Two Intersections

  • 1. Commen Cycle Time All Red Time Amber Time Effective Green Phase 1 760 Cars per Hour Phase 4 324 Cars per Hour Phase 3 852 Cars per Hour Phase 2 1048 Cars per Hour Phase Traffic Volume 1 760 2 1048 3 852 4 324 Total 2984 180 2 3 160 No. of Lanes 2 2 2 1 sec. sec. sec. sec. Traffic / Lane 380 524 426 324 1654 Green Time Split 0.23 0.32 0.26 0.20 1 Effective Green Time 37 51 41 31 160 Que Length / veh. 13 25 17 17
  • 2. Intersection (1) Phase 1 1848 Cars per Hour Intersection (2) Phase 1 1600 Cars per Hour Phase 2 440Cars per Hour Phase 3 1164 Cars per Hour Phase 2 1280 Cars per Hour Phase 3 1276 Cars per Hour Itersection (1) All Red Time = 2 sec. Amber Time = 3 sec. Phase 1 2 3 Total No. of Lanes Saturation Traffic Flow per lane (car/hr) Total Saturation Flow (car/hr) Actual Flow (car/hr) Flow Saturation Flow Ratio Green Time Split Green Time (sec.) Que Length / veh. 3 2 3 1800 1800 1800 5400 5400 3600 5400 14400 1848 440 1164 3452 0.34 0.12 0.22 0.68 0.50 0.18 0.32 1.00 28 10 18 56 22 6 13 Lost = (2+3)*3 = 15 sec. 1.5๐ฟ 1.5 (15) ๐ถยฐ = = = 70.31 โ‰ˆ 70 ๐‘ ๐‘’๐‘. ๐ถ๐‘ฆ๐‘๐‘™๐‘’ ๐‘‡๐‘–๐‘š๐‘’ 1โˆ’ ๐‘Œ 1 โˆ’ 0.68 ๐ธ๐‘“๐‘“๐‘’๐‘๐‘ก๐‘–๐‘ฃ๐‘’ ๐บ๐‘Ÿ๐‘’๐‘’๐‘› ๐‘‡๐‘–๐‘š๐‘’ = 70 โˆ’ 15 = 55 ๐‘ ๐‘’๐‘. Phase 1 Green time = Phase 2 Green time = Phase 3 Green time = Total Green time = Cycle time = 27.67973856 9.885620915 17.43464052 56 56 + 15 = 71 sec. take 28 sec. take 10 sec. take 18 sec. sec.
  • 3. Itersection (2) All Red Time = 2 sec. Amber Time = 3 sec. Phase 1 2 3 Total Lost = No. of Lanes Saturation Traffic Flow per lane (car/hr) Total Saturation Flow (car/hr) Actual Flow (car/hr) Flow Saturation Flow Ratio Green Time Split Green Time (sec.) Que Length / veh. 3 3 2 1800 1800 1800 5400 5400 5400 3600 14400 1600 1280 1276 4156 0.30 0.24 0.35 0.89 0.33 0.27 0.40 1.00 17 19 20 56 14 6 13 (2+3)*3 = 15 sec. 1.5๐ฟ 1.5 (15) ๐ถยฐ = = = 204.54 ๐‘‡๐‘Ž๐‘˜๐‘’ 70 ๐‘ ๐‘’๐‘. ๐ถ๐‘ฆ๐‘๐‘™๐‘’ ๐‘‡๐‘–๐‘š๐‘’ 1โˆ’ ๐‘Œ 1 โˆ’ 0.89 ๐ธ๐‘“๐‘“๐‘’๐‘๐‘ก๐‘–๐‘ฃ๐‘’ ๐บ๐‘Ÿ๐‘’๐‘’๐‘› ๐‘‡๐‘–๐‘š๐‘’ = 70 โˆ’ 15 = 55 ๐‘ ๐‘’๐‘. 28 sec. Inter. 1 71 sec. ๐ฟ 230 ๐‘š = = 28.75 ๐‘ ๐‘’๐‘. offset ๐‘† 8 ๐ฟ ๐‘ก ๐‘–๐‘‘๐‘’๐‘Ž๐‘™ = โˆ’ QH โˆ’ Loss ๐‘† 230 = โˆ’ 14 โˆ— 2 + 2 = 2.75 ๐‘ ๐‘’๐‘. 8 Phase 1 Green time = Phase 2 Green time = Phase 3 Green time = Total Green time = Cycle time = 16.2962963 13.03703704 19.49444444 56 56 + 15 = 71 sec. ๐‘ก ๐‘–๐‘‘๐‘’๐‘Ž๐‘™ = 17 sec. Inter. 2 71 sec. take 17 sec. take 14 sec. take 20 sec. sec.