Highway Capacity and Level of Service

Facility Types in the HCM

How different roadway types require different analysis methods.
The Highway Capacity Manual classifies roadways based on access control and directional flow. Each facility type has a distinct set of operational characteristics, and the methodology for calculating capacity and LOS is specifically tailored.

Uninterrupted Flow Facilities

  • Basic Freeway Segments: The fundamental building block of a freeway, unaffected by merging, diverging, or weaving traffic. Capacity is primarily governed by free-flow speed (FFSFFS), lane width, and lateral clearance. LOS is determined exclusively by traffic density (pc/mi/lnpc/mi/ln).
  • Freeway Weaving Segments: Segments where an entrance ramp is closely followed by an exit ramp, forcing traffic entering to cross paths with traffic exiting over a short distance. Turbulence causes significant capacity reduction.
  • Merge and Diverge Segments (Ramp Junctions): The areas immediately surrounding an on-ramp or off-ramp. Turbulence in the rightmost lane(s) heavily influences operations. LOS is determined by the density of vehicles in the immediate vicinity of the ramp.
  • Multilane Highways: Characterized by divided or undivided flow with two or more lanes per direction, but with some at-grade intersections or driveway access (unlike freeways). LOS is still density-based.

Two-Lane Highways (Class I, II, III)

  • Operations: The most complex uninterrupted flow facility. Operations in one direction are heavily influenced by opposing traffic (which dictates the ability to pass slower vehicles).
  • Service Measures: Unlike freeways (which use density), the primary service measures for Class I two-lane highways are Percent Time-Spent-Following (PTSF) and Average Travel Speed (ATS).

Interrupted Flow Facilities

  • Urban Streets (Arterials): Characterized by signalized and unsignalized intersections, driveways, on-street parking, and significant pedestrian/bicycle activity.
  • Service Measure: For urban streets, the primary determinant of LOS is the average travel speed over the segment, which is highly dependent on intersection delay (control delay).
Highway capacity analysis is a fundamental tool for planning, designing, and operating transportation facilities. It determines the maximum traffic flow a facility can accommodate and evaluates the quality of traffic flow provided to motorists.

  1. Concept of Capacity

Capacity

The maximum sustainable hourly flow rate at which persons or vehicles reasonably can be expected to traverse a point or a uniform section of a lane or roadway during a given time period under prevailing roadway, traffic, and control conditions.
Capacity is not a fixed, theoretical number; it depends heavily on specific "prevailing conditions":

Checklist

Key Takeaways
  • Capacity represents the maximum sustainable flow rate, dependent on roadway, traffic, and control conditions.
  • It is a dynamic threshold, not a static number, and changes significantly due to grades, lane widths, or vehicle mix.

Greenshields Macroscopic Flow Simulator

Adjust the fundamental traffic variables to see how density (k) impacts speed (u) and total flow (q).

30 veh/mi

0 to 120 (Jam Density)

70 mph
120 veh/mi
Current Speed ($u$)52.5mph
Current Flow ($q$)1575veh/hr
Level of Service (LOS)Based on density thresholds
D

Abstract visual representation of traffic density.

Greenshields Derivation

1. Speed-Density Relationship (Linear)

u=uf(1kkj)u = u_f \left(1 - \frac{k}{k_j}\right)

2. Fundamental Equation ($q = u \\times k$)

q=ufkufkjk2q = u_f k - \frac{u_f}{k_j} k^2
Max Capacity (qmaxq_{max}): 2100 veh/hrOccurs at: $u_o$ = 35 mph, $k_o$ = 60 veh/mi

Peak Hour Factor (PHF)

Traffic flow is not uniform throughout the peak hour. There are often shorter, intense bursts of traffic (usually 15-minute intervals) that dictate the true operational stress on the facility. The Peak Hour Factor (PHF) accounts for this peaking phenomenon.
PHF=Hourly Volume4×Peak 15-minute Volume PHF = \frac{\text{Hourly Volume}}{4 \times \text{Peak 15-minute Volume}}
The PHF ranges from 0.25 (highly concentrated traffic in one 15-minute period) to 1.00 (perfectly uniform flow). In capacity analysis, the hourly volume (VV) is typically divided by the PHF to determine the equivalent peak flow rate (vpv_p) used for analysis.

Uninterrupted vs. Interrupted Flow

  • Uninterrupted Flow Facilities: Facilities where traffic flow is not halted by external interruptions like traffic signals, stop signs, or at-grade intersections (e.g., freeways, controlled-access highways). The flow is determined purely by vehicle interactions and roadway geometry.
  • Interrupted Flow Facilities: Facilities where traffic flow is periodically stopped by external controls (e.g., urban streets with traffic signals). Capacity analysis for these facilities must heavily account for signal timing and intersection delays.

Service Volume

Service Volume

The maximum hourly rate at which vehicles can reasonably be expected to traverse a point under prevailing conditions while maintaining a designated Level of Service (LOS).
Unlike capacity (which is the absolute maximum flow before breakdown, or LOS E), a service volume is the maximum flow threshold for a specific, acceptable LOS (e.g., the service volume for LOS C).

  1. Level of Service (LOS)

While capacity tells us how much traffic a road can handle, Level of Service (LOS) tells us how well the road is handling it from the driver's perspective. It is a qualitative measure describing operational conditions within a traffic stream.

The Six Levels of Service

The Highway Capacity Manual (HCM) defines six levels of service, designated by the letters A through F:
  • LOS A: Free-flow operations. Vehicles are almost completely unimpeded in their ability to maneuver. High speeds and low density.
  • LOS B: Reasonably free flow. Speeds are maintained, but the presence of other vehicles begins to restrict the freedom to maneuver slightly.
  • LOS C: Stable flow. Speeds are near free-flow, but maneuvering requires care. This is often the target design level for rural highways.
  • LOS D: Approaching unstable flow. Speeds begin to decline slightly as traffic density increases. Freedom to maneuver is severely limited. This is often the target design level for urban highways.
  • LOS E: Unstable flow. Operating at or near capacity. Speeds are reduced to a low, but relatively uniform value. Any minor disruption will cause a traffic jam.
  • LOS F: Forced or breakdown flow. Demand exceeds capacity. Stop-and-go traffic, long queues, and extreme delays.

Level of Service (LOS) Simulator

Current LOSB
Avg Speed68 mph

"Reasonably free flow. Freedom to maneuver is slightly restricted."

Traffic Density15 pc/mi/ln
A
B
C
D
E
Based on Highway Capacity Manual (HCM) density thresholds for basic freeway segments.
Key Takeaways
  • LOS translates numerical capacity into a qualitative driver experience graded from A (best) to F (worst).
  • Different facility types have distinct LOS targets and criteria, mostly governed by speed, density, or delay.

Multimodal Level of Service (MMLOS)

Evaluating the street for all users, not just cars.
Modern capacity analysis no longer exclusively prioritizes vehicular throughput. The HCM now includes comprehensive methodologies for Multimodal Level of Service (MMLOS), which calculates distinct, separate LOS grades for:

Checklist

A street might score an LOS B for cars, but an LOS F for pedestrians if it lacks sidewalks or safe crossings. Urban street design requires balancing these competing MMLOS objectives within a limited right-of-way.

  1. Analysis of Basic Freeway Segments

A basic freeway segment is a section of a divided highway with full control of access, where the flow is not influenced by merging (on-ramps), diverging (off-ramps), or weaving sections.

Primary Measure of Effectiveness (MOE):

For basic freeway segments, LOS is determined strictly by Density.

Checklist

Procedure for Determining LOS:

Step 1: Determine the Adjusted Flow Rate (vpv_p)

We must convert the raw hourly volume (VV, mixed vehicles/hr) into an equivalent flow rate under ideal conditions expressed in passenger cars per hour per lane (pc/h/ln) for the peak 15 minutes.
vp=VPHF×N×fHV×fp v_p = \frac{V}{PHF \times N \times f_{HV} \times f_p}
Where:

Checklist

Caution

Heavy Vehicle Factor (fHVf_{HV})
Heavy vehicles (trucks, buses, RVs) take up more physical space and have poorer operating capabilities (acceleration/deceleration) than passenger cars. We convert them to Passenger Car Equivalents (PCEs).
$
f_ = \frac
$
Where:
  • PT,PRP_T, P_R = Proportion of trucks/buses and RVs in the traffic stream (expressed as a decimal).
  • ET,ERE_T, E_R = Passenger car equivalents (PCE) for trucks/buses and RVs (found in HCM tables based on terrain type).

Step 2: Determine Free-Flow Speed (FFSFFS)

Calculate the actual FFS based on geometric characteristics.
FFS=BFFSfLWfLCfNfID FFS = BFFS - f_{LW} - f_{LC} - f_N - f_{ID}
Where:

Checklist

Step 3: Determine Density (DD) and LOS

Calculate density using the fundamental equation k=q/uk = q/u, replacing variables with our calculated equivalents.
D=vpS D = \frac{v_p}{S}
Where SS is the estimated average passenger-car speed (derived from FFSFFS and vpv_p). Once DD is calculated, compare it to the HCM density thresholds to determine the final Level of Service (A-F).
Key Takeaways
  • LOS for basic freeways is determined primarily by density (passenger cars per mile per lane).
  • Calculations require adjusting raw volume to a 15-minute equivalent passenger-car flow rate, accounting for heavy vehicles and peak hour factors.

  1. Multilane and Two-Lane Highways

Multilane Highways

Checklist

Two-Lane Highways

Checklist

Key Takeaways
  • Two-lane highways rely on opposing lanes for passing, fundamentally altering their performance metrics compared to multilane facilities.
  • LOS for two-lane roads is judged on Percent Time-Spent-Following (PTSF) and Average Travel Speed (ATS).

  1. Interrupted Flow and Control Delay

Evaluating performance at signalized and unsignalized intersections.
For interrupted flow facilities (urban streets and intersections), density and speed are poor indicators of service quality. Instead, the HCM uses Control Delay (d) as the primary measure of effectiveness for LOS at intersections.

Control Delay Formulation

Control delay represents the total time a driver loses due to the presence of a traffic signal or stop sign (including deceleration time, stopped queue time, and acceleration time). The HCM formula for control delay at a signalized intersection is:
d=d1+d2+d3d = d_1 + d_2 + d_3
Where:
  • d1d_1 (Uniform Delay): The delay assuming vehicles arrive uniformly over the cycle length. It is calculated theoretically using the cycle length (CC), effective green time (gg), and the volume-to-capacity ratio (XX).
  • d2d_2 (Incremental/Random Delay): Accounts for the fact that vehicles do not arrive uniformly but randomly (platoons). It also accounts for delay when demand temporarily exceeds capacity (X>1X \gt 1).
  • d3d_3 (Initial Queue Delay): Accounts for delay caused by an existing, uncleared queue of vehicles left over from the previous analysis period.

  1. Ramp Junctions and Weaving Segments

Beyond basic freeway segments, engineers must also analyze the critical transition zones where traffic enters, exits, or crosses paths on a freeway. These areas are frequent bottlenecks and sources of capacity degradation.

Freeway Weaving and Ramps

  • Merge Areas (On-Ramps): Zones where a ramp joins the mainline freeway. The turbulence caused by vehicles accelerating and finding gaps to merge into the mainline stream directly reduces the overall capacity of the adjacent lanes.
  • Diverge Areas (Off-Ramps): Zones where vehicles decelerate and shift lanes to exit the freeway. If the off-ramp backs up (e.g., due to a signalized intersection at its terminus), the queue can spill back onto the freeway mainline, severely impacting LOS.
  • Weaving Segments: A length of highway where an on-ramp is closely followed by an off-ramp, connected by a continuous auxiliary lane. Vehicles entering the freeway must "weave" across the paths of vehicles exiting the freeway. The intense lane-changing maneuvers cause high turbulence, reducing speed and capacity.
Analyzing these segments requires calculating the Weaving Speed and the Non-Weaving Speed based on the length of the weaving section, the number of lanes available for weaving, and the volume ratio of weaving versus non-weaving vehicles.

Quantitative Capacity Formulations

Free-Flow Speed (FFS) Estimation

If field measurement is not possible, FFS is estimated by adjusting the base free-flow speed (BFFS) for factors like lane width (fLWf_{LW}), right-shoulder lateral clearance (fLCf_{LC}), and interchange density (fIDf_{ID}):
FFS=BFFSfLWfLC3.22TRDfID FFS = BFFS - f_{LW} - f_{LC} - 3.22 TRD - f_{ID}

Heavy Vehicle Adjustment Factor (fHVf_{HV})

The Heavy Vehicle Adjustment Factor (fHVf_{HV}) uses Passenger Car Equivalents (ETE_T for trucks/buses, ERE_R for RVs) to convert heavy vehicles into an equivalent number of passenger cars:
fHV=11+PT(ET1)+PR(ER1) f_{HV} = \frac{1}{1 + P_T(E_T - 1) + P_R(E_R - 1)}
Where PTP_T and PRP_R are the proportions of trucks and RVs in the traffic stream.
Key Takeaways
  • Ramp junctions (merge/diverge) and weaving segments are the primary sources of freeway turbulence and bottlenecks.
  • Weaving occurs when entering and exiting traffic streams cross paths, necessitating complex speed and lane-changing calculations to determine LOS.
  • Capacity is the maximum sustainable flow rate under prevailing conditions, while Level of Service (LOS) is a qualitative measure of the driver's experience (rated A through F).
  • LOS on basic freeway segments is primarily determined by Density (passenger cars per mile per lane).
  • Calculating LOS requires converting mixed traffic volumes into equivalent passenger-car flow rates (vpv_p), which accounts for peak hour fluctuations (PHF) and the negative performance impacts of heavy vehicles (fHVf_{HV}).
  • Free-Flow Speed (FFS) must be adjusted downward from ideal conditions if lanes are narrow, lateral clearances are restricted, or interchange density is high.
  • Control Delay is the primary metric for interrupted flow LOS, accounting for uniform delay, random arrivals, and existing queues.