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Traffic Flow / LOS Calculator

Calculate level of service (LOS) for highways based on HCM methodology. Computes flow rate, density, v/c ratio, and LOS grade for freeways, multilane, and two-lane highways.

Transportation Transportation engineers, traffic planners Commercial Intent: HIGH

Engineering Formulas

Adjusted Flow Rate

vp = V / (PHF ร— N ร— fhv ร— fp)
v_p: Adjusted flow rate (pc/h/ln)
V: Hourly volume (veh/h)
PHF: Peak hour factor
N: Number of lanes
f_hv: Heavy vehicle factor
f_p: Driver population factor

Heavy Vehicle Factor

fhv = 1 / (1 + PT(ET - 1) + PR(ER - 1))
P_T: Proportion of trucks
E_T: Truck equivalent (1.5โ€“4.5)
P_R: Proportion of RVs
E_R: RV equivalent (1.2โ€“3.0)

Density

D = vp / S
D: Density (pc/km/lane)
S: Average speed (km/h)

Level of Service (Freeway)

A โ‰ค 7 | B โ‰ค 11 | C โ‰ค 16 | D โ‰ค 22 | E โ‰ค 28 | F > 28 pc/km/ln
LOS: Level of Service (Aโ€“F)

Worked Example

Freeway LOS Analysis

roadType: freewayV: 4000PHF: 0.92N: 3FFS: 110truckPct: 5rvPct: 2terrain: levelfp: 1laneWidth: 3.6latClearance: 1.8
Heavy Vehicle
fhv = 1 / (1 + 0.05(1.5-1) + 0.02(1.2-1)) = 1 / (1 + 0.025 + 0.004) = 0.972
Flow Rate
vp = 4000 / (0.92 ร— 3 ร— 0.972 ร— 1.0) = 4000 / 2.683 = 1,491 pc/h/ln
Speed
S โ‰ˆ 110 km/h (below threshold)
Density
D = 1491 / 110 = 13.55 pc/km/ln
LOS
D = 13.55 โ†’ LOS B (โ‰ค 11 โ†’ C: 13.55 > 11, โ‰ค 16 โ†’ C)
v/c
1491 / 2400 = 0.621
Result: LOS C, vp = 1,491 pc/h/ln, D = 13.55 pc/km/ln, v/c = 0.621

Engineering Notes

HCM 2016 uses density (not v/c) as the primary LOS measure for freeways.
For planning studies, the 30th highest hour volume (not average daily) is used.
LOS E represents at-capacity operations โ€” small disruptions cause LOS F.
Freeway capacity is direction-specific โ€” analyze peak direction separately.
Consider downstream bottlenecks โ€” LOS may be controlled by downstream conditions.

Assumptions

โ€ข Base conditions: 3.6m lanes, 1.8m clearance, commuter drivers
โ€ข No lane width or lateral clearance adjustments applied
โ€ข Capacity estimates per HCM typical ranges
โ€ข All data in metric units as per HCM

Common Mistakes

โœ• Using total volume V instead of adjusted flow rate vp for LOS determination
โœ• Forgetting to convert percentages to decimals for PT and PR
โœ• Using wrong ET/ER values for terrain type
โœ• Confusing LOS thresholds between freeway and multilane highway
โœ• Not accounting for driver population factor for recreational routes

Frequently Asked Questions

What is Level of Service (LOS)?

LOS grades traffic conditions from A (free flow) to F (congested/breakdown). It is based on density (pc/km/lane) for freeways and multilane highways per HCM methodology.

What is Peak Hour Factor (PHF)?

PHF = (peak hour volume) / (4 ร— peak 15-min flow rate). Values range 0.75โ€“0.95. Lower PHF means more peaking within the hour, reducing effective capacity.

What is the heavy vehicle factor?

fhv accounts for the space occupied by trucks and RVs which are larger and have poorer performance than passenger cars. It reduces the effective flow rate capacity.

What is free flow speed?

FFS is the average speed at low volumes (typically 100โ€“120 km/h for freeways). It depends on speed limit, lane width, lateral clearance, and interchange density.

What is the v/c ratio?

v/c ratio compares actual flow rate to capacity. v/c < 0.7 indicates good conditions, 0.7โ€“0.9 approaches congestion, > 0.9 indicates near-breakdown conditions.

How does terrain affect capacity?

Trucks slow more on upgrades in rolling/mountainous terrain, reducing capacity. E_T = 1.5 (level), 2.5 (rolling), 4.5 (mountainous) per HCM.

What is a typical freeway capacity?

HCM recommends 2,200โ€“2,400 pc/h/ln for freeways with FFS โ‰ฅ 100 km/h. Capacity decreases with lower FFS (โ‰ˆ2,100 at 80 km/h).

What is LOS F?

LOS F represents breakdown flow with stop-and-go conditions. Density exceeds 28 pc/km/lane for freeways. Demand exceeds capacity, causing queue formation.

References & Standards

HCM 2016HCM 2000TRB Circular 212
HCM 2016
Highway Capacity Manual, 6th Edition โ€” TRB
HCM 2000
Highway Capacity Manual โ€” earlier edition for reference
TRB Circular 212
Interim Materials on Highway Capacity
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