RAMPS & RAMP JUNCTIONS - Universiti Putra Malaysia:坡道&;匝道路口-马来西亚博特拉大学
1
Department of Civil Engineering
Faculty of Engineering
University Putra Malaysia
_____________________________________________________________________________
KAW4613 – Highway Capacity Analysis
RAMPS & RAMP JUNCTIONS
RAMP COMPONENTS
1. Ramp-Freeway Junction
, permit high speed merge/diverge with minimum disruption to adjacent freeway traffic stream
, operation depends on:
- length & type of acceleration/deceleration lanes
- Free flow speed of ramp in immediate vicinity of junction
- sight distance
2. Ramp-Roadway
, vary location to location
, operation depends on:
- nos. of lanes, length, design speed, grades, horizontal curvature , rarely a source of operational difficulties
3. Ramp-Street Junction
, type permits uncontrolled merging/diverging movements to take place, or take the form of at-grade
intersection
OPERATIONAL CHARACTERISTICS
HCM defines merge/diverge influence areas to include: , acceleration/deceleration lanes
, lane 1 & 2 of freeway for distance 1,500 ft (458 metres) downstream of merge or upstream of diverge.
Ramp junctions : Influence Areas & Critical Values
V 1500-ft(458 m) R
VV 12 R12V D , S V FRRFO
Merge area (On-ramp)
1500-ft (458 m) V R
V 12 D , S V RRFOV F
Diverge area (Off-ramp)
2
METHODOLOGY
Basic Structure of Methodology
3 MAJOR STEPS:
1. Determine V : 12(Must be known ~ major determinant of operating characteristics within ramp influence area) ~ flow entering Lanes 1 & 2 immediately upstream of
merge influence area
OR
~ flow at beginning of deceleration lane at an off-ramp
2. Determine Critical Capacity Values (CCV)
Demand Flows Versus CCV
Evaluated at 2 points:
a) max. total flow departing from merge or diverge area.
(V ~ on-ramps), (V ~ off-ramps) FOF b) max. total flow that can reasonably enter merge or diverge influence area.
(V ~ on-ramps), (V ~ off-ramps) R1212
If Demand > either (a) or (b) ? Breakdown (LOS F) is likely.
3. Density (D) & LOS R
For some situations, Average Speed (S) of vehicles may be predicted. RBefore any of these procedures are applied, all relevant freeway & ramp flows must be
converted to equivalent pcph under ideal conditions for the peak 15-min. of hour.
V veh/hr V = pcph PHF f f HVpwhere:
V = max. 15-min flow rate in pcph under ideal conditions pcphV = hourly volume under prevailing conditions veh/hrPHF = peak hour factor
f = adjustment factor for heavy vehicles HVf = adjustment factor for driver population p
PREDICTION OF FLOW ENTERING LANES 1 & 2 (V) 12
Principal influences on lane distribution of freeway
vehicles immediately upstream of merge or diverge:
, V ~ total freeway flow approaching Fmerge/diverge area (pcph)
, V ~ total ramp flow (pcph) R, L or L ~ total length of acceleration/deceleration lane (ft) AD
, S ~ free-flow speed of ramp at point of merge/diverge (mph) FR
Lane distribution may also be influenced by flows on adjacent upstream/downstream ramps:
V ~ total flow on upstream adjacent ramp (pcph) VV ~ total flow on downstream adjacent ramp (pcph) DD ~ distance to adjacent upstream ramp (ft) VD ~ distance to adjacent downstream ramp (ft) D
Significance influence on lane distribution depends on size of freeway, specific combination of
upstream/downstream ramp (or both), and distances & flows involved.
3
General Model Structure
, Model form for prediction of V immediately upstream of single-lane, left-hand on-ramps: 12V = V x P 12FFMP = proportion of freeway vehicles remaining in Lanes 1 & 2 immediately upstream of on-ramp. FM(behavioural choices of drivers selecting lanes)
, Model for prediction of V immediately upstream of beginning of deceleration lane; single-lane, 12left-hand off-ramps:
V = V + ( V - V ) P 12RFRFDP= proportion of through vehicles remaining in Lanes 1 & 2. FD (choice to be made by approaching freeway drivers not exiting at ramp)
Specific Models
Equations for P & P calibrated for different possible configurations (including width of freeway, upstream FMFD& downstream configurations):
FIGURE 5-3 (Single-lane, left-hand ON-RAMPS)
FIGURE 5-4 (Single-lane, left-hand OFF-RAMPS)
Merge Equation : (ON-RAMPS)
Eq. 1 : 4-lane freeways (trivial)
Eq. 2 : 6-lane freeways (simple)***
Eq. 3 : 6-lane freeways (with effect of adjacent upstream off-ramp) Eq. 4 : 6-lane freeways (with effect of adjacent downstream off-ramp) Eq. 5 : 8-lane freeways
*** Eq. 2 also used for 6-lane freeways (with effect of adjacent upstream on-ramp or downstream on-ramp)
*** Eq. 2 used if variables of Eq. 3 or Eq. 4 is outside the limits.
Diverge Equation : (OFF-RAMPS)
Eq. 6 : 4-lane freeways (trivial)
Eq. 7 : 6-lane freeways (simple)***
Eq. 8 : 6-lane freeways (with effect of adjacent upstream on-ramp) Eq. 9 : 6-lane freeways (with effect of adjacent downstream off-ramp) Eq. 10 : 8-lane freeways
*** Eq. 7 also used for 6-lane freeways (with effect of adjacent upstream off-ramp or downstream on-ramp)
*** Eq. 7 used if variables of Eq. 8 or Eq. 9 is outside the limits.
CAPACITY VALUES
Merge areas (TABLE 5-1)
Controlled by : EITHER
a) total flow leaving merge area on downstream freeway, (V ) OR FOb) max. flow entering merge influence area (V), where : V = V + V R12R12R12
If Demand at either points > Capacity values? LOS F , Analysis ENDS.
Otherwise? Estimate Density , LOS
Diverge areas (TABLE 5-1)
Check 3 Capacity values :
a) total flow that may leave diverge area (V), OR Fb) max. flow that may enter Lanes 1 & 2 immediately before deceleration lane (V), OR 12c) capacity of each of the exiting legs of the freeway, (TABLE 5-6)
LEVEL OF SERVICE
, Prediction of Density, D ( TABLE 5-3 ) ~ establish LOS R
, Prediction of Speed, S ( TABLE 5-4 ) ~ never use to establish LOS R
4 PROCEDURES FOR APPLICATION
Single-lane on- & off-ramps
STEP 1 : Specify geometry & demand volumes (vph)
STEP 2 : Convert all demand vol. (vph) into 15-min peak flow rates (pcph) under ideal conditions.
STEP 3 : Estimate V ~ FIG.5-3 (merge area), FIG.5-4 (diverge area) 12
STEP 4 : Find checkpoint flow rates:
Merge areas : V = V + V FOFR : V = V + V R12R12
Diverge areas : V = V + V FFOR : V 12 : V ~ (TABLE 5-6) R
Compare with Capacity values in TABLE 5-1
STEP 5 : If Step 4 = LOS F, then ignore Step 5. Otherwise? Determine D (TABLE 5-3) , LOS (TABLE 5-2). May estimate S (TABLE 5-4) RR
SPECIAL APPLICATIONS
Two-Lane On-Ramp ( FIG. 5-6 )
Computing V for 2-lane on-ramps: V = V (P) 1212FFM
Replace formula for P in FIG.5-3 by: FM, 4-lane freeways, P = 1.0000 FM
, 6-lane freeways, P = 0.5550 FM, 8-lane freeways, P = 0.2093 FM
Computing Density: Use Equation in TABLE 5-3, but L replaced by L. Where : L = 2L + L AAeffAeffA1 A2
Computing Capacity Values : TABLE 5-1 ~ No Change
Two-Lane Off-Ramp ( FIG. 5-7a , FIG. 5-7b )
2 general types of geometry:
Type 1 : (FIG. 5-7a) ~ 2 deceleration lanes successively introduced,
Type 2 : (FIG. 5-7b) ~ Single deceleration lane used.
Computing V for 2-lane off-ramps: V = V + (V – V)P) 1212RFRFD
Replace formula for P in FIG. 5-4 by: FD, 4-lane freeways, P = 1.000 FD
, 6-lane freeways, P = 0.450 FD, 8-lane freeways, P = 0.260 FD
Computing Density:
Type 1 ? Use Equation in TABLE 5-3, but L replaced by L. Where, L = 2L + L DDeffDeffD1 D2Type 2? Use Equation in TABLE 5-3 without modification
Computing Capacity Values : TABLE 5-1 ~ No modification
5 Right-Hand Ramps
No direct method available.
Apply rational modifications to Left-Hand Ramps method
~ reasonable result
Compute V using standard procedures, then : 12
, RHR ~ 4-lane freeways, V = V 1212
, RHR (On) ~ 6-lane freeways, V = 1.12 V 2312
, RHR (Off) ~ 6-lane freeways, V = 1.05 V 2312
, RHR (On) ~ 8-lane freeways, V = 1.20 V 3412
, RHR (Off) ~ 8-lane freeways, V = 1.15 V 3412
Compute for Density : the same except
Replace V with V or V as appropriate 122334
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