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Traffic Flow and Analysis of Roads: A Comprehensive Guide, Summaries of Engineering

A comprehensive overview of traffic flow and analysis, covering key concepts such as flow, density, and velocity. It delves into the fundamental diagram of traffic flow, queuing analysis, and real-life causes of queue generation. The document also explores highway capacity, level-of-service, and factors affecting both. It concludes with a detailed analysis of two-lane highway capacity and its relationship to level-of-service.

Typology: Summaries

2023/2024

Uploaded on 12/03/2024

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jhames-marck-ablan 🇵🇭

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Traffic Flow and Analysis of Roads
Traffic Flow
- study of the movement of individual
drivers and vehicles between two
points and their interactions with one
another.
To represent traffic flow, relationships have
been established among three main
characteristics:
Flow, Density, and Velocity
- Assist traffic engineers in planning,
designing, and evaluating the
effectiveness of traffic engineering
measures on highway systems.
Time-Space Diagram
- Useful device for defining the
elements of traffic flow.
- Graph that describes the relationship
between the location of vehicles in a
traffic steam and the time as the
vehicles progress along the highway.
Flow (q)
- Equivalent hourly rate at which
vehicles pass a point on a highway
during a time period less than 1
hour.
Density (k)
- Concentration
- Number of vehicles traveling over a
unit length of highway at an instant
in time.
Speed (u)
- Distance travelled by a vehicle
during a unit of time.
Time Mean Speed
- Spot speed
- Arithmetic means the speeds of
vehicles passing a point within a
given interval of time.
Space Mean Speed
- Harmonic mean of the speeds of
vehicles passing a point on a
highway during an interval of time.
Headway
- Measurement of distance or time
between vehicles in the transit
system.
Time Headway
- Difference between the time when
the front of a vehicle arrives at a
point on the highway and the time
the front of the next vehicle arrives
at the same point.
Space Headway
- Difference in position between the
front of a vehicle and the front of the
next vehicle (in meters).
Fundamental Diagram of Traffic Flow
- Graphical representation that
illustrates the relationship between
traffic density, flow, and speed on a
roadway.
- Helps in understanding how these
variables interact and influence each
other, providing crucial insights for
traffic engineers to optimize road
capacity and improve traffic
management.
- Diagram’s three main zones: Free
Flow; Congested Flow; and
Breakdown, each indicating different
states of traffic conditions.
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Traffic Flow and Analysis of Roads Traffic Flow

  • study of the movement of individual drivers and vehicles between two points and their interactions with one another. To represent traffic flow, relationships have been established among three main characteristics: Flow, Density, and Velocity
  • Assist traffic engineers in planning, designing, and evaluating the effectiveness of traffic engineering measures on highway systems. Time-Space Diagram
  • Useful device for defining the elements of traffic flow.
  • Graph that describes the relationship between the location of vehicles in a traffic steam and the time as the vehicles progress along the highway. Flow (q)
  • Equivalent hourly rate at which vehicles pass a point on a highway during a time period less than 1 hour. Density (k)
  • Concentration
  • Number of vehicles traveling over a unit length of highway at an instant in time. Speed (u)
  • Distance travelled by a vehicle during a unit of time. Time Mean Speed
  • Spot speed
  • Arithmetic means the speeds of vehicles passing a point within a given interval of time. Space Mean Speed
  • Harmonic mean of the speeds of vehicles passing a point on a highway during an interval of time. Headway
  • Measurement of distance or time between vehicles in the transit system. Time Headway
  • Difference between the time when the front of a vehicle arrives at a point on the highway and the time the front of the next vehicle arrives at the same point. Space Headway
  • Difference in position between the front of a vehicle and the front of the next vehicle (in meters). Fundamental Diagram of Traffic Flow
  • Graphical representation that illustrates the relationship between traffic density, flow, and speed on a roadway.
  • Helps in understanding how these variables interact and influence each other, providing crucial insights for traffic engineers to optimize road capacity and improve traffic management.
  • Diagram’s three main zones: Free Flow; Congested Flow; and Breakdown, each indicating different states of traffic conditions.

Poisson Model

  • P(x) = (Y^X e^(-Y)) / x!
  • Models that account for non-uniformly flow are derived by assuming that the pattern of vehicle arrivals (at a specified point) corresponds to some random process.
  • The problem then becomes one of selecting a probability distribution that is a reasonable representation of observed traffic arrival patterns. Limitation of Poisson Model
  • Traffic flow under congested conditions or when traffic signals cause disruptions.
  • It highlights that the primary limitation of the Poisson Model is the assumption that the mean of observations is equal to the variance.
  • If the variance is much higher than the mean, the data are overdispersed.
  • If the variance is much lower than the mean, the data are underdispersed.
  • In both cases, Poisson distribution is inappropriate and alternative models should be considered. Queuing Analysis
  • Examines how vehicles form lines (or queues) at various points along roadways, such as at intersections, toll booths, or traffic signals, and aims to predict and optimize the performances of these systems.
  • Uses mathematical models to describe arrival rates of vehicles, service rates (e.g. how quickly vehicles can pass through a signal or toll booth), and the number of available lanes or service channels.
  • It helps identify potential bottlenecks, delays, and congestion.
  • The goal is to determine the optional design and operation strategies to minimize wait times, improve traffic flow efficiency, and reduce congestion, using metrics such as average queue length, waiting times, and system capacity.
  • Essential for understanding and improving urban mobility, particularly in environments with high traffic demand or limited infrastructure capacity. M/M/1 Queueing
  • “M” stands for Markovian (random) arrival process, where vehicles or customers arrive at a rate that follows a Poisson distribution.
  • Second “M” represents the service process, which is also random and follows an exponential distribution.
  • “1” indicates there is only one service channel, meaning one lane or one server is available to handle the arrivals.
  • This model is typically used to analyze simple systems like a single lane at a toll booth or a one-counter checkout. M/M/N Queueing
  • Similar to M/M/1 but “N” represents multiple service channels (servers or lanes).
  • Vehicles or customers still arrive randomly at Poisson rate, and the service time follows an exponential distribution but there are “N” parallel lanes or servers available to handle them.

Public Transportation Pedestrians Bus Stops and Pedestrian Crossings

  • Can cause interruptions to traffic flow, especially during peak hours. Illegal Parking
  • Can narrow road widths and hinder traffic movement. Special Events and Public Gatherings Concerts, Sports Events, and Festivals
  • Large gatherings can attract significant traffic and cause congestion. Public Holidays and Weekends
  • Increased traffic volumes during these periods can lead to queue formation. By understanding these factors, traffic engineers and planners can implement strategies to reduce queue formation and improve traffic flow such as: Optimizing Traffic Signal Timing
  • Using advanced traffic signal systems. Improving Road Infrastructure
  • Expanding road capacity, upgrading intersections, and improving road surfaces. Encouraging Public Transportation
  • Reduce traffic congestion Implementing Traffic Management Strategies
  • Using measures like traffic diversion, lane closures, and variable message signs. Educating Drivers
  • Promoting safe driving practices and traffic awareness By addressing these issues, it is possible to reduce queue formation and improve the overall efficiency of transportation systems. Highway Capacity Capacity
  • Maximum number of vehicles, passengers, or the like, per unit time, which can be accommodated under given conditions with a reasonable expectation of occurrence.
  • Independent of demand.
  • Speaks about the physical amount of vehicles and passengers that a road can afford.
  • Does not depend on the total number of vehicles demanding service.
  • Expressed in terms of units of some specific thing (car, people, etc.), so it also does depend on the traffic composition. Highway Capacity Conditions Roadway Characteristics
  • Associated with geometric characteristics and design elements of the facility, which include type of facility, number of lanes, lane width, shoulder width, horizontal and vertical alignments, lateral clearance, design speed, and availability of queuing space at intersections. Traffic Conditions
  • Associated with characteristics of the traffic stream on the segment of the highway.
  • Includes distribution of the different types of vehicles in the traffic stream or traffic composition such as mix of cars, trucks, buses, etc. and the directional and lane distribution of the traffic volume on the highway segment. Control Conditions
  • Applies to surface facilities and includes the types of traffic control devices in operation, signal phasing, allocation of green time, cycle length, and the relationship with adjacent control measures. Factors Affecting Highway Capacity
  • Lane width
  • Width of shoulder
  • Lateral clearance
  • Commercial vehicles
  • Road alignment and geometry
  • Existence of intersections
  • One way or two way traffic and number of lanes
  • Drivers and vehicular characteristics
  • Single type or mixed traffic
  • Flow speed
  • Weather condition
  • Road side parking
  • Presence of pedestrians Level-Of-Service
  • Introduced in 1965 HCM as a convenient way to describe the general quality of operations on a facility with defined traffic, roadway, and control conditions.
  • Quality measure describing operational conditions within a traffic stream, generally in terms of service measures as speed and travel time, freedom to maneuver, traffic interruptions, and comfort and convenience. (HCM 2000)
  • Related with the physical characteristics of the highway and the different operating characteristics that can occur when the highway carries different traffic volumes.
  • Speed-flow-density relationships are the principal factor affecting the level of service of a highway segment under ideal conditions. Service A
  • Free-flow conditions where traffic flow is virtually zero.
  • Only the geometric design features of the highway may limit the speed of the car.
  • Comfort and convenience levels for road users are very high as vehicles have almost complete freedom to maneuver. Service B
  • Reasonable free flow conditions.
  • Comfort and convenience levels for road users are still relatively high as vehicles have only slightly reduced freedom to maneuver.
  • Minor accidents are accommodated with ease although local deterioration in traffic flow conditions would be more discernible than in service A. Service C
  • Stable flow conditions.
  • Flows are at a level where small increases will cause a considerable reduction in the performance or “:service” of the highway.
  • Driver comfort and convenience decreased perceptibly at this level.
  • Equal volume in both directions (for analysis of two-way flow) Capacity and Measure
  • Capacity of a two-lane highway is 1700 passenger cars per hour for each direction of travel and is nearly independent of the directional distribution of traffic.
  • For extended segments, the capacity of a two-lane highway will not exceed a combined total of 3200 pc/h.
  • Short sections of two-lane highway, such as tunnel or bridge, may reach a capacity of 3200 to 3400 pc/h
  • LOS expresses the performance of a highway at traffic volumes less than capacity.
  • LOS for Class I highways is based on two measures; PTSF and ATS.
  • LOS for Class II highways is based on a single measure, PTSF.
  • LOS criteria are applied to travel during the peak 15 minutes of travel and on highway segments of significant length.
  • LOS designations are from A (highest) to F (lowest)