Road Transport Systems
ETHZ / D-BAUG / Spring Semester 2021
ETHZ / D-BAUG / Spring Semester 2021
Kartei Details
Karten | 78 |
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Sprache | English |
Kategorie | Verkehrskunde |
Stufe | Universität |
Erstellt / Aktualisiert | 20.06.2021 / 06.02.2024 |
Weblink |
https://card2brain.ch/box/20210620_road_transport_systems
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Einbinden |
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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)
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
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.
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.
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.
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
- Trip generation: What are the total number of trips people make to and from each zone?
- Trip distribution: What are the specific origins and destinations for this total number of trips?
- Mode choice: How many people will choose to drive, walk, cycle, use transit, etc.?
- Route choice: What are the specific routes that people will use for their trips?
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)
- ...