Road Transport Systems

ETHZ / D-BAUG / Spring Semester 2021

ETHZ / D-BAUG / Spring Semester 2021


Kartei Details

Karten 78
Sprache English
Kategorie Verkehrskunde
Stufe Universität
Erstellt / Aktualisiert 20.06.2021 / 06.02.2024
Weblink
https://card2brain.ch/box/20210620_road_transport_systems
Einbinden
<iframe src="https://card2brain.ch/box/20210620_road_transport_systems/embed" width="780" height="150" scrolling="no" frameborder="0"></iframe>

Capacity drop phenomena

  • Many studies have revealed that there is a stochastic nature of bottleneck capacities.
  • Banks (1991) first suggested that discharge flow at bottlenecks diminishes once queues start forming upstream of the location

What is a model?

A set of mathematical equations (or rules) that tries to describe (i.e. replicate) a physical process (e.g. evolution of traffic congestion over time and space)

Why do we need models?

  • Process analysis and understanding
  • Planning (forecasting)
    - introduction of a new mode (multimode)
    - modification/extension of infrastructure
  • Operations (control)
    - Design of model-based control strategies
    - Estimation/prediction models
    - Testing the control performance
  • Traffic simulation

Classification of traffic models

  • Microscopic (mainly for simulation):
    car following + lane changing
     
  • Mesoscopic
    vehicle platoons with similar characteristics
     
  • Macroscopic
    macroscopic traffic variables (in analogy to fluid mechanics --> LWR-Theoy)
     
  • Network (or region) level (MFD)
    macroscopic fundamental diagram (regional accumulations, flows)

Car-following model

Used in microscopic traffic flow models

--> model the movements and interactions of individual vehicles

Macroscopic traffic flow models

Traffic flow control - Supply

  • Urban traffic lights
  • Ramp metering
  • Variable speed limits (VSL)
  • Variable message signs (VMS)
  • Route guidance

Traffic flow control - Demand

  • Car pooling
  • Congestion pricing
  • Mode choice

Network components

Links:

  • main road
  • freeway
  • link road
  • local street
  • etc...

Nodes:

  • Stop sign
  • Overpass
  • Ramp
  • Level crossing
  • Traffic light
  • stop sign
  • roundabout

Levels of automation

Definition of telematics

  • Telematics
    - IT: Information Technologies
    - Communications
    - Hardware/Software
  • Long distance transmission of data and computerized information
  • Sensor, road network instrumentation, wireless communications
  • Algorithms for traffic estimation, prediction and traffic management

Measurement methods

measurements...

  • ...at a (cross-sectional) point
  • ...along a short distance
  • ...along a length
  • ...along an arterial or small area (by e.g. moving observer method)

other real-time large-scale monitoring methods

Data fusion

  • the process of combining data from multiple, heterogeneous data sources such as cross-sectional data, floating-car data, police reports, etc.
     
  • each of these categories of data describes different aspects of the traffic situation and might even contradict each other
     
  • the goal of data fusion is to maximize the utility of the available information

Autonomous vehicles - Challenges

  • Autonomous/connected vehicles and planning models
     
  • Implications to traffic flow and operations
     
  • Simulation: traffic, wireless communications
     
  • Trajectory processor for particle-based simulators
     
  • Lane changing in connected environment: game theory

Loop signatures

Vehicle classification:

Different types show distinct signature data

Traffic stream - definition

Basic independent control unit.

  • At least
    • 1 Detecting element
    • 1 Display element
  • Possible traffic streams
    • Automobile traffic
    • Bus transit
    • Light rail transit
    • Pedestrians
    • Bicyclists
    • Emergency vehicles

Floating car data

Driving a vehicle in the traffic stream, trying to maintain an "average" position in the traffic stream, i.e:

passing only as many vehicles as pass you.

Inductive loop detectors

  • The most widely used sensors (for TM)
    • magnetic field
    • easy to install, inexpensive
       
  • Measurements:
    • time occupancy (%)
    • flow (number of vehicles)
    • speed (for double loops)

Calling and extension detectors

  • Detectors that
    • call for green (presence)
    • ask for green extension (queue)
       
  • Utilized in many cities with advanced management systems

Traffic Lights

Traffic lights exist to control the flow of traffic and are expected to bring benefits:

  • Increased safety
  • Minimize accident frequency and severity
  • If properly timed, a traffic signal increases the traffic handling capacity of an intersection
  • Manage traffic and travel times
  • Provide directions to drivers

Phase, Stage, Cycle

Phase: The sum of the displayed green, yellow and red times for a movement or combination of movements that receive the right of way simultaneously during the cycle.

Stage: A group of phases that receive the right of way simultaneously during the cycle for an intersection.

Cycle: The sum of the phase lengths is the cycle length.

Protected/Permitted movement

Protected movement: A movement that has the right of way and does not need  to yield to conflicting movements, such as opposing vehicle traffic. Through movements, which are always protected are given a green indication.

Permitted movement: A movement that must yield to opposing traffic flow. This movement is made during gaps.

Can be determined by using the cross-product.

Cross product rule

Cross product rule helps us identify if a movement should be protected or permitted. The cross-product is a simple approach that is only dependent on the peak-hour traffic flows \(\nu\).

Generally, we take the peak-hour traffic flow value of the traffic movement we want to check on protected movement and the opposing traffic movements. The determined values are checked against thresholds.

  • Cross product exceeds 50'000 vehicles during peak-hour for one opposing lane
  • Cross product exceeds 90'000 vehicles during peak-hour for two opposing lanes
  • Cross product exceeds 110'000 vehicles during peak-hour for three or more opposing lanes

Cross Product:    \(CP_{\phi_i,\phi_j} = v_i \cdot v_j\)

Traffic Signal - Stage

A stage is a group of phases (i.e. movements) that don't create conflicts and are compatible, i.e. they can operate together.

Saturation

Undersaturated conditions: all the vehicles that are queued during the red phase are served by the green.

Saturated conditions: vehicles spend in the intersection more than one cycle (cycle failure).

Signal control - Modes

Pre-timed: A signal whose timing (cycle length, green, red etc.) is fixed over specified time periods. This is not affected by traffic flow at an intersection.

Semi-actuated: A signal whose timing is affected when vehicles are detected (by video, loop-detectors or other sensors), on some, but not all approaches. This approach is met on major/minor roads (with difference on flows). The major gets green until some vehicles appear in the minor.

Fully-actuated: A signal whose timing is completely inflluenced by traffic flow. This approach is met on major/major roads where substantial variations exist in the approaching traffic volumes.

Macroscopic Fundamental Diagram (MFD)

Aggregated relationship between network accumulation and total flow (production).

Useful tool for control.

  1. undersaturated: minimize delays!
     
  2. saturated: maximize capacity!
     
  3. oversaturated: queue management, gating!
     
  4. blocked: call the police or walk home!

Saturation flow

The saturation flow is the hourly maximum volume that can pass through an intersection, from a given lane (or group of lanes), if that lane was allocated constant green over the course of an hour.

\(s= \frac{3600}{h} [\frac{vehicles}{h}]\)

s is the saturation flow in vehicles per hour
h is the saturation headway in seconds per vehicle
3600 is the number of seconds per hour

Capacity

Movements on an intersection do not receive a constant green indication. Capacity accounts for the hourly volume that can be accommodated on an intersection.

\(c=s \frac{g}{c} [\frac{vehicles}{hour}] \\s \ \text{ is the saturation flow in vehicles per hour.} \\g \ \text{is the green time in seconds} \\C \ \text{is the cycle length in seconds}\)

Lost time

Due to the traffic signal's function of continuously alternating the right-of-way between conflicting movements, traffic streams are continuously started and stopped. Every time this happens, a portion of the cycle length is not completely utilized, which translates to lost time.

\(t_L = t_{sl} + t_{cl} \\ \\t_L \ \text{is the lost time for a movement during a cycle in seconds} \\t_{sl} \ \text{is the start-up lost time in seconds} \\t_{cl} \ \text{is the clearence lost time in seconds}\)

Start-up lost time

Occur because when a signal indication turns from red to green, drivers in the queue do not instantly start moving at the saturation flow rate. The stopping of a movement also results in lost time. The yellow-red transition or all-red times are not fully utilized as well. This refers as clearance lost time.

All-Red

The amount of time within a cycle in which all approaches have red indication. This time is referred to as clearance intervall.

Scales of traffic modelling

Macro-level

Meso-level

Micro-level

Traffic Analysis Zones

TAZ divide the study area into smaller regions assumed to be homogeneous demographically and economically.

Zone selection criteria:

  • Homogeneous socioeconomic characteristics
  • Minimize the number of intra zonal trips
  • Recognize physical, political and historical boundaries

Network representation elements

Zone Centroid: Special node whose number identifies a zone, located by (x, y) coordinates.

Node (Vertices): Intersection of links, located by (x, y) coordinates.

Links (Arcs): Indexed by from and to nodes (including centroid connectors), attributes include lanes, capacity per lane, allowable modes.

Turns: Indexed by at, from and to nodes.

Routes (paths): Indexed by a series of nodes from origin to destination (e.g. a public bus line)

Modes: Car, bus, HOV, truck, bike, walk etc.

Travel data sources

Surveys (traditional method)

ICT and Big-data movement (cities are data-factories!)

Internet (FB, Twitter, Foursquare, Instagram, etc.)

Cellular phones (Bluetooth)

https://opentransportdata.swiss/

Four Step Model

  1. Trip generation: What are the total number of trips people make to and from each zone?
     
  2. Trip distribution: What are the specific origins and destinations for this total number of trips?
     
  3. Mode choice: How many people will choose to drive, walk, cycle, use transit, etc.?
     
  4. Route choice: What are the specific routes that people will use for their trips?

OD matrix

Origin-Destination Matrix or Trip Table

Mode choice

For modelling Mode choice some consistent theory of decision-making is needed:
--> Microeconomic concept of utility maximization is most widely accepted

Basic assumption:

  • Traveler will select the combination of the mode that gives the most utility economically
  • this is modelled with a so called utility function

The utility function for Mode choice can include:

  • location (proximity to bus stop)
  • convenience
  • cost
  • travel time
  • parking
  • health
  • environment
  • privacy (i like to travel alone)
  • ...

Logit model