Traffic Signal Timing Analysis: Intersection Optimization, Exercises of Spanish

A detailed analysis of traffic signal timing at an intersection, focusing on optimizing signal phases and cycle lengths to improve traffic flow. It includes calculations for saturation flow rates, lane utilization, and adjustments for heavy vehicles, pedestrians, and parking. The analysis uses various formulas to determine effective green times, delay, and level of service (los) for different lane groups and approaches. The document also considers permitted left and right turns, pedestrian crossing times, and bicycle volumes to provide a comprehensive evaluation of intersection performance. This analysis is crucial for traffic engineers to design efficient and safe intersections. (409 characters)

Typology: Exercises

2024/2025

Uploaded on 08/18/2025

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◙ CBD Other Ancho de carril EB 3.3 (^) 4.5 4. WB 3. NB 4.5 grade= 0% SB 4. grade= 0% 3.3 100 20 3. 3.3 100 20 3. grade= 0% grade= 0% 4.5 4. LT TH RT¹ LT TH RT¹ LT TH RT¹ LT TH RT¹ 65 620 35 30 700 20 30 370 20 40 510 50 5 5 5 5 5 5 8 8 8 8 8 8 0.900 0.900 0.900 0. P P P P 4 2 3 3 Ø 1 Ø 2 G = 26.00 G = 36. Y = 4.00 Y = 4.

Volume and Timing Input

EB

Cycle legth (s) =

G = 0.

Timing (^) Y = 0.00 Y = 0.00 Y = 0.00 Y = 0.00 Y = 0.00 Y = 0.

G = 0.00 G = 0.00 G = 0.00 G = 0.00 G = 0.

Signal Phasing Plan D I A G R A M

Ø 3 Ø 4 Ø 5 Ø 6 Ø 7 Ø 8

Crosswalk length L (m) 9.00^ 9.00^ 13.20^ 13. Min. timing for pedestrians,3 Gp (s) 11.2 11.2 14.7 14. Bus stopping. NB (buses/h) 0 0 0 0 Number of pedestrians crossing, Nped (p) 2 2 2 2 Parking (Y or N) N N N N Parking maneuvers, Nm (maneuvers/h) 0 0 0 0

Approach bicycle volume. Vbic (bicycles/h) 20 20 20 20 Extension of effective green tlme, e (s) Arrival ripe, AT Approach pedestrian volume,2 Vped (p/h) 100 100 100

SB

Volume. V (veh/h) % heavy vehicle, % HV Peak- hour factor. PHF Pretimed (P) or actuated (A) Start-up lost time, I 1 (s) 100 NB

INPUT EB^ WB^ NB

Analysis Time Period Andysis Yea Intersection Geometry SB 20 20 WB 100 Analyst Intersection Agency or Company Area Type Date Performed Jurisdiction

INPUT WORKSHEET

General Information Site Information 𝑁௣௘ௗ = 𝑉௣௘ௗ 3600 ∗^ 𝐶 𝐺௉ = 3.2 + (^) 𝑆𝐿௉ + 0.81 𝑁 𝑊௣௘ௗா 𝑃𝑎𝑟𝑎 𝑊ா > 3.0𝑚 𝐺௉ = 3.2 + (^) ௌ௅ು + 0.27𝑁௣௘ௗ 𝑃𝑎𝑟𝑎 𝑊ா ≤ 3.0𝑚

EB WB NB SB Cycle length, C (s) 70 70 Total actual green time for LT lane group, G (s) 26 26 Effective permitted green time for LT lane group, g (s) 26 26 Opposing effective green time, go (s) 26 26 Number of lanes in LT lane group, N 2 2 Number of lanes in opposing approach, No 2 2 Adjusted LT flow rate, VLT (veh/h) 72 33 Proportion of LT volume in LT lane group, PLT 0.090 0. Adjusted flow rate in lane group, V (Veh/h) 800 833 Adjusted flow rate for opposing approach, Vo (veh/h) 833 800 Lost time for LT lane group, tL 4 4 LT volume per cycle, LTC 1.400 0. Lane utilization adjustment factor, fLU 0.950 0. Opposing lane utilization factor, fLUo 0.950 0. Opposing flow per lane, per cycle Volc (veh/C/ln) 8.525 8. Tiempo hasta la llegada del primer vehículo que gira a la izquierda. gf 4.461 9. Platoon ratio, Rp (Tabla 16-11) 1.333 0. Opposing platoon ratio, Rpo 0.667^ 1. Opposing queue ratio, qro 0.752 0. 11.312 8. gu = g – gq if gq ≥ gf, or gu = g – gf if gq < gf 14.688 16. Effective Opposing Flow, Voe 877.000 842. EL1 se interpola para poder sacar este valor 3.3 3. 0.268 0. fmin = 2(1 + PL)/g 0.098 0. 0.521 0. Para giros a la derecha permitidos en varios carriles fLT=fm 0.716 0. Computation

HOJA DE TRABAJO ADICIONAL PARA LOS GIROS A LA IZQUIERDA PERMITIDOS OPUESTOS POR EL ENFOQUE DE VARIOS

CARRILES

Input LTC = 𝑉௅் 𝐶 3600 𝑉௢௟௖ = 𝑉௢𝐶 3600 𝑁௢𝑓௅௎௢ 𝑔𝑓 = 𝐺𝑒 ଴ି^.^ ଶ௅்஼଼଼^ బ.ళభళ − 𝑡௅ SI 𝑔௙ ≤ 𝑔 Para Carriles exclusivos para giros a la izquierda 𝑔𝑓 = 0 𝑞𝑟௢ = max 1 − 𝑅௣௢ 𝑔௢ 𝐶 , 0

0.5 − 𝑉𝑜𝑙𝑐^ 1 − 𝑞𝑟 𝑔^0

𝑜

𝑔𝑜^ ≤ 0.

EB WB NB SB

Cycle length, C (s) 70 70

Total actual green time for LT lane group, G (s) 36 36

Effective permitted green time for LT lane group, g (s) 36 36

Opposing effective green time, go (s) 36 36

Number of lanes in LT lane group, N 1 1

Adjusted LT flow rate, VLT (veh/h) 33 44

Proportion of LT volume in LT lane group, PLT 0.071 0.

Proportion of LT volume in opposing flow, PLTo 0.067^ 0.

Adjusted flow rate in lane group, V (Veh/h) 466 667

Adjusted flow rate for opposing approach, Vo (veh/h) 667 466

Lost time for LT lane group, tL 4

LT volume per cycle, LTC

Opposing flow per lane, per cycle Volc (veh/C/ln)

Lane utilization adjustment factor, fLU 1.000 1.

Opposing lane utilization factor, fLUo 1.000 1.

Tiempo hasta la llegada del primer vehículo que gira a la izquierda. gf

Platoon ratio, Rp

(Tabla 16-11)

Opposing platoon ratio, Rpo 1.000^ 1.

Opposing queue ratio, qro

gu = g – gq if gq ≥ gf, or

gu = g – gf if gq < gf

n=max[(gq-gf)/2,0] 0.000 0.

PTHo = 1 – PLTo 0.933 0.

Effective Opposing Flow, Voe 667 466

EL1 se interpola para poder sacar este valor 2.7^ 2.

EL2 = max[(1 – PTHon)/PLTo, 1.0] 1.0 1.

fmin = 2(1 + PLT)/g 0.060 0.

HOJA DE TRABAJO ADICIONAL PARA LOS GIROS A LA DERECHA PERMITIDOS

OPUESTOS POR EL ENFOQUE DE UN SOLO CARRIL

Input

Computation

LTC =

𝑔𝑓 = 𝐺𝑒ି ଴^ .଼^ ଺଴௅்஼^

బ.లమవ

− 𝑡௅ SI 𝑔௙ ≤ 𝑔

Para Carriles exclusivos para giros a la izquierda 𝑔𝑓 = 0

𝑞𝑟௢ = max 1 − 𝑅௣௢

𝑔௤ = 4.943𝑉௢௟௖଴.଻଺ଶ𝑞𝑟଴ଵ.଴଺ଵ^ − 𝑡௅ 𝑔௤ ≤ 𝑔

EB WB NB SB

Phase number 1 1 2 2

Phase type P P P P

Lane group

Adjusted flow rate, V (veh/h) 800 833 466 667

Saturation flow rate, S (veh/h) 2101 2665 1613 1625

Lost time , tL (s) 4 4 4

Effective green time, g (s) 26 26 36

Green ratio, g/C 0.371 0.371 0.514 0.

Lane group capacity, c (veh/h)

v/c ratio, X 1.026 0.842 0.562 0.

Flow ratio, v/s 0.381 0.313 0.289 0.

Critical lane group/phase (√) √ √

Sum of flow ratios for critical lane groups, Yc

Yc = ∑ (critical lane groups, v/s)

Total lost time per cycle, L (s)

Critical flow rate to capacity ratio, Xc

EB WB NB SB

Lane group

Adjusted flow rate, V (veh/h) 800 833 466 667

Lane group capacity, c (veh/h) 780 989 829 835

v/c ratio, X 1.026 0.842 0.562 0.

Green ratio, g/C 0.371^ 0.371^ 0.514^ 0.

Uniform delay, d 1 (s/veh)

Incremental delay calibration, k 0.5 0.5 0.5 0.

Incremental delay, d 2 (s/veh)

Initial queue delay, d 3 (s/veh) (Appendix F) 0 0 0 0

Uniform delay, d 1 (s/veh) (Appendix F)

Arrival ripe, AT 4 2 3 3

Progression adjustment factor, PF (tabla 16-12) 0.921 1.115 1.000 1.

Delay, d (s/veh)

LOS by lane group (Exhibit 16-2) E C B C

Delay by approach, dA (s/veh)

LOS by approach (Exhibit 16-2) E C B C

Approach flow rate, VA (veh/h) 800 833 466 667

Intersection delay, dI (s/veh)

Intersection LOS (Exhibit 16-2)

C

Permitted Left Turns

Permitted Left Turns

c = 𝑆

g= 𝐺 + 𝑌 − 𝑡௅

1 − min(1, 𝑋) 𝑔 𝐶