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Chapter 8
        Part I
 Travel Demand and
 Traffic Forecasting
From: Principles of Highway Engineering and Traffic Analysis
                       Third Edition
   Fred Mannering, Walter Kilareski and Scott Washburn
Travel Demand & Traffic
                 Forecasting
   Necessary understand the where to invest in
    new facilities and what type of facilities to invest
   Two interrelated elements need to be considered
     Overall regional traffic growth/decline
     Potential traffic diversions
Traveler Decisions
   Four key traveler decisions need to be studied
    and modeled:
     Temporal decisions – the decision to travel and
      when to travel
     Destination decisions – where to travel (shopping
      centers, medical centers, etc.)
     Modal decisions – how to travel (auto, transit,
      walking, biking, etc)
     Route decisions – which route to travel (I-66 or Rt
      50?)
Trip Generation
   Objective of this step is to develop a model
    which can predict when a trip will be made
   Typical input information
     Aggregate decision making units – we study
      households not individual travelers typically
     Segment trips by type – three types 1) work trips 2)
      shopping trips and 3) social/recreational trips
     Aggregate temporal decisions – trips per hour or per
      day
Trip Generation Model
   Typically assume linear form
   Typical variables which influence number of
    trips are
     Household income
     Household size

     Number of non-working household members

     Employment rates in the neighborhood

     Etc.
Typical Trip Generation Model

  Ti = bo + b1 z1i + b2 z 2i + ...bk z ki
  where :
  Ti = number of veh - based trips of a given type in some
  specified time period made by household i
  b k = coefficient estimated from traveler survey
  data and corresponding to characteristic k
  z ki = characteristic k (income, employment in neighborhood,
  number of household members) of household i
Trip Generation Model
             Example Problem
Number of peak hour vehicle-based shopping trips per
   household =
0.12 + 0.09 (household size) + 0.011(annual household
   income in $1,000s) – 0.15 (employment in the
   household’s neighborhood in 100s)
A household with 6 members; annual income of $50k;
   current neighborhood has 450 retail employees; new
   neighborhood has 150 retail employees.
Trip Generation with Count Data
                Models
   Linear regression models can produce fractions
    of trips which are not realistic
   Poisson regression can be used to estimate trip
    generation for a given trip type to address this
    problem
Poisson Regression Model
           e −λi λTi
 P (Ti ) =         i

              Ti !
 Where :
 Ti = No. of veh - based trips of given type
 made in specified time period by household i
 P(Ti ) = probability of household i making
 exactly Ti trips (where Ti is non negative integer)
 e = base of natural logarithm (e = 2.817)
 λi = Poisson parameter for household i, which is equal
 to household i' s expected number of veh - based
 trips in some specified time period, E[Ti ]
Estimating Poisson Parameter

 λi = e
      BZ i


 where :
 B = vector of estimatable coefficients
 Zi = vector of household characteristics
 determining trip generation
 other terms as explained previously
Example 8.4
Given:
BZi= -0.35 + 0.03 (household size) +
(0.004) annual household income in 1,000s –
0.10 (employment in household’s neighborhood in 100s)
Household has 6 members; income of $50k; lives in
   neighborhood with 150 retail employment; what is
   expected no of peak hour shopping trips? What is prob
   household will not make peak hour shopping trip?

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Chapter 8 travel demand

  • 1. Chapter 8 Part I Travel Demand and Traffic Forecasting From: Principles of Highway Engineering and Traffic Analysis Third Edition Fred Mannering, Walter Kilareski and Scott Washburn
  • 2. Travel Demand & Traffic Forecasting  Necessary understand the where to invest in new facilities and what type of facilities to invest  Two interrelated elements need to be considered  Overall regional traffic growth/decline  Potential traffic diversions
  • 3. Traveler Decisions  Four key traveler decisions need to be studied and modeled:  Temporal decisions – the decision to travel and when to travel  Destination decisions – where to travel (shopping centers, medical centers, etc.)  Modal decisions – how to travel (auto, transit, walking, biking, etc)  Route decisions – which route to travel (I-66 or Rt 50?)
  • 4.
  • 5.
  • 6. Trip Generation  Objective of this step is to develop a model which can predict when a trip will be made  Typical input information  Aggregate decision making units – we study households not individual travelers typically  Segment trips by type – three types 1) work trips 2) shopping trips and 3) social/recreational trips  Aggregate temporal decisions – trips per hour or per day
  • 7.
  • 8. Trip Generation Model  Typically assume linear form  Typical variables which influence number of trips are  Household income  Household size  Number of non-working household members  Employment rates in the neighborhood  Etc.
  • 9. Typical Trip Generation Model Ti = bo + b1 z1i + b2 z 2i + ...bk z ki where : Ti = number of veh - based trips of a given type in some specified time period made by household i b k = coefficient estimated from traveler survey data and corresponding to characteristic k z ki = characteristic k (income, employment in neighborhood, number of household members) of household i
  • 10. Trip Generation Model Example Problem Number of peak hour vehicle-based shopping trips per household = 0.12 + 0.09 (household size) + 0.011(annual household income in $1,000s) – 0.15 (employment in the household’s neighborhood in 100s) A household with 6 members; annual income of $50k; current neighborhood has 450 retail employees; new neighborhood has 150 retail employees.
  • 11. Trip Generation with Count Data Models  Linear regression models can produce fractions of trips which are not realistic  Poisson regression can be used to estimate trip generation for a given trip type to address this problem
  • 12. Poisson Regression Model e −λi λTi P (Ti ) = i Ti ! Where : Ti = No. of veh - based trips of given type made in specified time period by household i P(Ti ) = probability of household i making exactly Ti trips (where Ti is non negative integer) e = base of natural logarithm (e = 2.817) λi = Poisson parameter for household i, which is equal to household i' s expected number of veh - based trips in some specified time period, E[Ti ]
  • 13. Estimating Poisson Parameter λi = e BZ i where : B = vector of estimatable coefficients Zi = vector of household characteristics determining trip generation other terms as explained previously
  • 14. Example 8.4 Given: BZi= -0.35 + 0.03 (household size) + (0.004) annual household income in 1,000s – 0.10 (employment in household’s neighborhood in 100s) Household has 6 members; income of $50k; lives in neighborhood with 150 retail employment; what is expected no of peak hour shopping trips? What is prob household will not make peak hour shopping trip?