Trip Distribution - Fratar Model Overview

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the primary purpose of the Fratar Model in trip distribution?

  • To identify travel destinations
  • To analyze trip generation rates
  • To forecast travel demand between different zones (correct)
  • To evaluate the impact of transportation policies

Which assumption of the Fratar Model indicates that trip patterns remain mostly unchanged over time?

  • Proportional Growth
  • Fixed Trip Patterns (correct)
  • Limited Data Changes
  • Balanced Matrix

In what scenario does the Fratar Model work best?

  • When there are limited data changes anticipated (correct)
  • When population densities are rapidly fluctuating
  • When structural changes in land use are expected
  • When there are major transportation infrastructure improvements

What does the Fratar Model formula calculate?

<p>The average number of trips between two zones (B)</p> Signup and view all the answers

What is the Balanced Matrix assumption in the Fratar Model?

<p>The total number of trips from a zone equals the total number of trips to a zone (D)</p> Signup and view all the answers

What is the acceptable range for the growth factor in trip analysis?

<p>0.95 to 1.05 (A)</p> Signup and view all the answers

Which aspect is NOT considered in Direct Generation Models?

<p>Travel time (A)</p> Signup and view all the answers

Which factor does NOT influence mode choice?

<p>Vehicle color (D)</p> Signup and view all the answers

Mode choice models primarily aim to estimate the number of trips made by which of the following?

<p>Automobile and transit (C)</p> Signup and view all the answers

In the context of mode choice, convenience primarily refers to what?

<p>The ease of accessing a mode (A)</p> Signup and view all the answers

What type of models does NOT rely on trip generation or distribution steps?

<p>Direct Generation Models (D)</p> Signup and view all the answers

Which of the following statements is true regarding the factors influencing mode choice?

<p>Traveler characteristics can affect mode choice. (C)</p> Signup and view all the answers

What is the main purpose of mode choice models?

<p>To replicate traveler behavior for estimating trip numbers (A)</p> Signup and view all the answers

What is the main focus of Direct Generation Models?

<p>Simplifying data analysis without detailed interactions (C)</p> Signup and view all the answers

Which variable is NOT considered in Trip End Models?

<p>Economic status of the trip maker (A)</p> Signup and view all the answers

What is one of the key elements evaluated in Trip Interchange Models?

<p>Relative travel service and system level-of-service (A)</p> Signup and view all the answers

In the example of Direct Generation Models, how many total transit trips per day are determined for a zone with 5000 people?

<p>500 trips/day (B)</p> Signup and view all the answers

What exponent value is used for work travel in the Trip Interchange Models example?

<p>2.0 (C)</p> Signup and view all the answers

What does the QRS method primarily consider in estimating mode choice?

<p>Level-of-service variables and trip maker's economic status (B)</p> Signup and view all the answers

What is indicated by the total number of productions in a zone in Trip End Models?

<p>Total trips per day by inhabitants (B)</p> Signup and view all the answers

What percentage of residents is expected to use transit in the Trip End Models example if the number of households per auto is 1.80 and residential density is 15,000 persons/square mile?

<p>27% (A)</p> Signup and view all the answers

What is the primary purpose of traffic assignment in transportation forecasting?

<p>To predict actual routes and traffic volumes (B)</p> Signup and view all the answers

Which of the following is NOT required for effective trip assignment?

<p>Median income of travelers (D)</p> Signup and view all the answers

What is the purpose of a diversion curve in traffic analysis?

<p>To illustrate travel time ratios between routes (D)</p> Signup and view all the answers

Which algorithm is associated with the decision rule for selecting routes in traffic assignment?

<p>All-or-nothing Assignment (D)</p> Signup and view all the answers

In the trip forecasting process, traffic assignment follows which earlier phase?

<p>Trip distribution (C)</p> Signup and view all the answers

What method categorizes traffic according to relative travel time or cost?

<p>Diversion Curves (B)</p> Signup and view all the answers

Which traffic assignment method is characterized as a no-choice scenario for route selection?

<p>All-or-nothing Assignment (D)</p> Signup and view all the answers

What aspect of modal utility does the logit model consider?

<p>Relative utility of each mode (C)</p> Signup and view all the answers

What is the final goal of the incremental method in traffic assignment?

<p>To achieve a balance in link travel time with successive assignments (C)</p> Signup and view all the answers

Which of the following represents a typical portion of trip exchanges assigned using the incremental method?

<p>40 percent, 30 percent, 20 percent, and 10 percent (B)</p> Signup and view all the answers

After each increment in the incremental method, what is the next step?

<p>Update travel times based on the current assignments (B)</p> Signup and view all the answers

What does the function represent in the new travel time calculation?

<p>The volume that has been assigned up to that point (D)</p> Signup and view all the answers

Which step is NOT part of the incremental method process?

<p>Assigning all trips in a single batch (D)</p> Signup and view all the answers

What is the primary theory behind the minimum path assignment method?

<p>Travelers will select the quickest route between any origin-destination pair. (A)</p> Signup and view all the answers

Which of the following best describes a skim tree?

<p>A diagram that represents the shortest travel time paths selected by travelers. (C)</p> Signup and view all the answers

What is one major disadvantage of the all-or-nothing assignment method?

<p>It creates unrealistic flow patterns because it assumes all traffic will pass through one path. (B)</p> Signup and view all the answers

In the process of determining minimum paths, what should be compared to find the best route?

<p>The total travel time for each possible path. (D)</p> Signup and view all the answers

When evaluating the effectiveness of a path, what factor is considered in relation to link capacity?

<p>The number of trips assigned compared with the link capacity. (D)</p> Signup and view all the answers

What is the primary goal of the minimum path algorithm?

<p>To find the shortest path without testing all combinations. (C)</p> Signup and view all the answers

In the context of paths from node 1, which travel route to node 4 has the least total time?

<p>1-5-4 which takes 11 minutes. (C)</p> Signup and view all the answers

Which statement best summarizes the all-or-nothing assignment advantages?

<p>It is cost-effective and straightforward. (C)</p> Signup and view all the answers

How does the minimum path assignment infer travel behavior of users?

<p>Users consistently choose the route with minimum travel time. (B)</p> Signup and view all the answers

Which of the following paths from node 3 to node 2 has the fastest travel time?

<p>3-2 which takes 3 minutes. (B)</p> Signup and view all the answers

Flashcards

Fratar Model

A trip distribution method that forecasts travel demand by adjusting for future growth factors in population, employment, etc.

Fratar Model - Growth Factor

Trip numbers grow proportionally to population/employment changes in trip distribution modeling.

Fratar Model - Trip Pattern

The general pattern of trips remains similar over time in the Fratar model.

Fratar Model - Balanced Matrix

The model ensures trips originating from a zone are equal to those arriving at that zone.

Signup and view all the flashcards

Fratar Model - Data Changes

This method works best if major changes in transportation or land use are not expected.

Signup and view all the flashcards

Trip Distribution

Forecasting the flow of trips between zones within a study area.

Signup and view all the flashcards

O-D Survey

A survey that collects data on travel between origin (O) and destination (D) points.

Signup and view all the flashcards

Mode Choice

The process of determining the proportion of trips between zones that are taken by automobile or transit.

Signup and view all the flashcards

Trip Purpose

The reason for a trip (e.g., work, shopping, visiting).

Signup and view all the flashcards

Travel Time

The time perceived to travel by specific modes.

Signup and view all the flashcards

Cost

Financial factors for transportation (fuel, fare, parking).

Signup and view all the flashcards

Convenience

Ease to access transportation options (e.g., stop locations).

Signup and view all the flashcards

Traveler Characteristics

Individual features (income, age, car ownership) that influence mode choice.

Signup and view all the flashcards

Direct Generation Models

Mode choice models that don't consider system attributes (time, cost, etc).

Signup and view all the flashcards

Growth Factor

A factor used to adjust trip numbers to ensure it is close to 1.00 (within ± 5%).

Signup and view all the flashcards

Mode Shares

The proportion of trips taken by different modes of transportation (e.g., car, bus, train).

Signup and view all the flashcards

Direct Generation Models

Models that estimate trip numbers without considering interaction between zones or trips.

Signup and view all the flashcards

Trip End Models

Models that consider the characteristics of trip origins and destinations to evaluate travel, like land use, population or employment.

Signup and view all the flashcards

Trip Interchange Models

Models that consider overall travel conditions, like time, cost, and economic status of travelers to determine how many take different modes.

Signup and view all the flashcards

QRS Method

A method used in trip interchange models to estimate mode choice by considering service parameters like travel time and cost along with economic factors.

Signup and view all the flashcards

Transit Trips

Trips taken using public transportation like buses or trains.

Signup and view all the flashcards

Auto Ownership

The percentage of households in an area that own cars.

Signup and view all the flashcards

Minimum Path Algorithm

A method for finding the fastest route between two points in a network, considering travel times on each link.

Signup and view all the flashcards

Skim Tree

A graphical representation of the shortest paths in a network, showing only the minimum time paths.

Signup and view all the flashcards

All-or-Nothing Assignment

A method for assigning trips where every trip between zones is routed along the shortest time path.

Signup and view all the flashcards

Capacity Restraint

A factor in transportation modeling that accounts for the capacity of links to handle the assigned traffic. Travel times increase when traffic overwhelms capacity.

Signup and view all the flashcards

Minimum Travel Time

The shortest time possible to reach a destination.

Signup and view all the flashcards

Trip Interchange Models

Models used to estimate how trips are distributed among different modes of transportation.

Signup and view all the flashcards

Logit Models

Models that predict mode choice based on the relative utility of different modes (like driving or public transit).

Signup and view all the flashcards

Traffic Assignment

The process of assigning trips to specific routes in a transportation network.

Signup and view all the flashcards

Origin-Destination (O-D) Pairs

Start and end points of trips used in transportation planning.

Signup and view all the flashcards

Diversion Curves

Models which show the portion of traffic between two routes, based on relative travel time/cost.

Signup and view all the flashcards

Minimum Path Algorithm

Algorithm finding the fastest route between two points in a transportation network.

Signup and view all the flashcards

All-or-nothing Assignment

Traffic assignment method where all trips between two points use the shortest or fastest route available.

Signup and view all the flashcards

Capacity Restrained Assignment

Traffic assignment method that considers the limited capacity of transportation network.

Signup and view all the flashcards

User Equilibrium

A traffic assignment approach that presumes travelers use routes that allow them the shortest travel time.

Signup and view all the flashcards

System Optimization

Traffic assignment approach focusing on the overall traffic network efficiency, not on individual travelers' choices.

Signup and view all the flashcards

Stochastic Method

A traffic assignment approach that considers randomness in the route choice behavior of travelers.

Signup and view all the flashcards

Incremental Method

A traffic assignment method that gradually assigns trips between zones, adjusting travel times in each step until equilibrium is reached.

Signup and view all the flashcards

Travel Time Update

Recalculating link travel times based on the current volume (traffic) assigned to each link; in turn, it influences the assignment.

Signup and view all the flashcards

Path Tree

A structured representation of all possible paths that originate from a specific zone, used for choosing routes during the process.

Signup and view all the flashcards

Trip Exchange

The flow of trips between zones; essentially the traffic volume in the network.

Signup and view all the flashcards

Incremental Assignment

Assigning a portion of trips at a time, recalculating time values after each portion is assigned.

Signup and view all the flashcards

Shortest Path

The fastest or quickest route between two points in a network.

Signup and view all the flashcards

Iteration

Repeating a process several times, updating based on previous results until a stable outcome emerges.

Signup and view all the flashcards

Equilibrium

A state in which the volume of traffic along a path does not change with repeated reassignments, all the components are stable.

Signup and view all the flashcards

Study Notes

Trip Distribution - Fratar Model

  • Also known as the Growth Factor Model
  • Used in trip distribution to forecast travel demand between different zones
  • Based on existing travel patterns
  • Updates trip matrices by adjusting for future population, employment, or other travel demand factors

Assumptions of the Fratar Model

  • Proportional Growth: The number of trips between zones increases proportionally to changes in population, employment, or other relevant factors.
  • Fixed Trip Patterns: The overall pattern of trips between zones remains consistent over time.
  • Balanced Matrix: The total trips originating from a zone equals the total trips arriving at that zone
  • Limited Data Changes: Works best when there aren't significant structural changes to transportation or land use.

Fratar Model Formula

  • The number of trips between two zones is the average of the trips from one point to the other (A to B and B to A).
  • Formula: Tij = (tajGj) / ΣtirGr
    • Where:
      • Tij = trips between zone i and j
      • tj = existing trips between zone i and j
      • Gj = growth factor for zone j
      • tir = existing trips originating from zone i
      • Gr = growth factor for zone r

Sample Problem (Data from Provided Images)

  • A study of four zones (A, B, C, and D) using 5 year trip data
  • Presents tables of present trips between zones
  • Includes Present Trip Generation and Growth factors for each zone.
  • Calculates future trip generation amounts based on growth factors.
  • Shows calculations of estimated trips between each zone.

Mode Choice

  • Mode choice is the aspect of transportation demand analyses that determines the amount of trips made by car versus transit.
  • Mode choice models simulate traveler choices by replicating factors including traveler characteristics, transportation system features, and trip factors.
  • Key elements that influence mode choice:
    • Trip Purpose
    • Travel Time
    • Cost (fuel, fares, parking)
    • Convenience (Accessibility, proximity to stops)
    • Traveler characteristics (income, age, car ownership, preferences).

Types of Mode Choice Models

  • Direct Generation Models:
    • Assumes that system attributes (time, cost, convenience) are not relevant.
    • Mode shares are determined without considering detailed zone interaction.
    • Simple and suitable for small-scale analysis.
  • Trip End Models:
    • Consider the journey's origin and destination characteristics (land use, population density, employment).
    • Mode choice is based on zone characteristics but not on detailed origin-destination interactions.
  • Trip Interchange Models (e.g., QRS method):
    • Considers system level-of-service factors (travel time, cost, and travel convenience).
    • Measures trip characteristics for travel mode choice like time, distance, cost.
  • Logit Models:
    • Uses relative utility of each mode as a summation of each modal attribute.
    • Expresses the choice of a mode as a probability distribution considering factors like disutilities and attributes.

Traffic Assignment

  • Final step in the transportation forecasting process.
  • Predicts actual routes and traffic volumes on highways and streets.
  • Determines which routes travelers will take.
  • Assigns trips to origin-destination (O-D) pairs to specific routes (transit or car).
  • Calculates peak-hour traffic volume on each route.
  • Identifying potential congestion based on routes and capacity.

Traffic Assignment Methods

  • Diversion Curves: Similar to mode choice curves, showing traffic distribution based on relative travel time or cost between routes.
  • Minimum Path Algorithm: Assigns all trips to the shortest paths between zones based on time. Represents possible routes in terms of a "skim tree"
  • All-or-Nothing Assignment: Simplifies travel by assigning all trips along the shortest path between zones without considering traffic capacity.
  • Capacity Restraint Assignment: Considers link capacity, thus recalculating travel times based on the loaded volume with each reassignment, ensuring balance is reached in successive assignments.
  • Incremental Method: Assigns trips in increments to the shortest paths to adjust link times after each increment.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Declension of Meus Frater Flashcards
10 questions
Use Quizgecko on...
Browser
Browser