Network Assignment - bellevuewa/BKRCast GitHub Wiki

This section describes two network models used in the BKRCast model system:

Network Assignment

A network assignment model estimates volume on each link in the transportation system for both highway and transit modes. In addition, the model generates performance measures such as congested speed or travel time on a highway link or the boardings and alightings on a transit route.

Network assignment is performed separately for each mode (auto and transit) and time period. The model system has four assignment periods, which are listed below:

Assignment Time Periods

Period Description Start Time End Time Label in Emme Highway Duration (hour) Transit Duration (hour)
AM AM Peak 6:00 a.m. 9:00 a.m. 6to9 3 3
MD Mid Day 9:00 a.m. 3:30 p.m. 9to1530 6.5 6.5
PM PM Peak 3:30 p.m. 6:30 p.m. 1530to1830 3 3
NI Night 6:30 p.m. 6:00 a.m. 1830to6 11.5 3.5

*The night period has only 3.5 hours of transit service (until 10:00 p.m.)

Highway Assignment

The highway assignment uses an equilibrium procedure to assign vehicle trips to the roadway network for different time periods. This is a user-optimal procedure that is based on the assumption that each traveler chooses a route that is the shortest time path. The highway assignment is performed in the Emme software and utilizes the gradient-based path analysis.

The multiclass assignment is performed for 21 vehicle classes (if tnc is turned off), which are developed based on mode and income group:

Highway Vehicle Classes

Matrix Name Description Value-of-Time (cents/hr)
mf1 svtl1 SOV Toll Income Level 1 1200
mf2 svtl2 SOV Toll Income Level 2 2400
mf3 svtl3 SOV Toll Income Level 3 4000
mf4 svnt1 SOV No Toll Income Level 1 1200
mf5 svnt2 SOV No Toll Income Level 2 2400
mf6 svnt3 SOV No Toll Income Level 3 4000
mf7 h2tl1 HOV 2 Toll Income Level 1 2000
mf8 h2tl2 HOV 2 Toll Income Level 2 3000
mf9 h2tl3 HOV 2 Toll Income Level 3 5000
mf10 h2nt1 HOV 2 No Toll Income Level 1 2000
mf11 h2nt2 HOV 2 No Toll Income Level 2 3000
mf12 h2nt3 HOV 2 No Toll Income Level 3 5000
mf13 h3tl1 HOV 3 Toll Income Level 1 2400
mf14 h3tl2 HOV 3 Toll Income Level 2 3500
mf15 h3tl3 HOV 3 Toll Income Level 3 5500
mf16 h3nt1 HOV 3 No Toll Income Level 1 2400
mf17 h3nt2 HOV 3 No Toll Income Level 2 3500
mf18 h3nt3 HOV 3 No Toll Income Level 3 5500
mf19 lttrk Light Trucks 4000
mf20 metrk Medium Trucks 4500
mf21 hvtrk Heavy Trucks 5000
mf22 walk Walk Trips NA
mf23 bike Bike Trips NA

Value of time can be found here.

perception_factor

In EMME traffic assignment specification, perception_factor is set to the reciprocal of VOT converted to cents/minute.

Stopping Criteria

The highway assignment procedure is applied iteratively; travel times are updated after each iteration to reflect congestion occurring on the network. These updates to travel time are based on a volume-delay function for each link. The majority of roads use a derivative of the volume-delay function originally developed by the Bureau of Public Roads (BPR). The free-flow time is based initially on the network data provided for each link and then updated in each iteration to represent the travel time from the last iteration. This process continues until “equilibrium" is reached, which is based on achieving one of the following criteria:

  • The best relative gap is less than 0.01% (0.0001). This is the difference between the current assignment and a perfect equilibrium assignment.
  • The normalized gap or trip time difference is less than 0.01. This is the difference between the mean trip time of the current assignment and the mean minimal trip time.
  • The relative gap is the % difference between total travel time on network and that on the shortest paths.

Turn Penalty

Turn penalties are included in the trip assignment model to either prohibit certain turn movements or to penalize certain turn movements. These are included in the model by identifying specific turn movements by their node numbers, and then coding the penalty function that will apply to these turn movements. The current model includes turn penalty functions to prohibit turns that cannot be made under “real world” conditions and to prohibit direct access from interchanges to HOV lanes where direct access ramps do not exist.

Time of Day (TOD)

Use the following factors to convert period volume to peak hour volume.

AM MD PM NI
0.380 0.184 0.350 0.354

Transit Assignment

The model system uses Emme to perform a frequency-based transit assignment using optimal strategies and variants. The assignment results are saved in Emme database. The following network results are available:

  • Transit times on segments (timtr), in minutes; the transit time is the sum of the travel time (given by the transit time function) plus the dwell time at the J-node
  • Transit boardings (board) and alightings (alight) at I-node of segments
  • Transit volumes on segments (voltr)
  • Initial boardings (inboaj) and final alightings (fialij) at nodes
  • Auxiliary transit volumes on links (volax)

Transit Submodes in EMME

Sub-mode Description Assignment Specs Trip Table Trip Table Name Trip Table Description
b Local Bus extended_transit_assignment_bus.json mf24 trnst Transit Trips (regular bus)
p Passenger only Ferry extended_transit_assignment_passenger_ferry.json mf28 passenger_ferry Passenger ferry trips
r Light Rail extended_transit_assignment_light_rail.json mf25 litrat Light rail trips
c Commuter Rail extended_transit_assignment_commuter_rail.json mf27 commuter_rail Commuter rail trips
f Ferry extended_transit_assignment_ferry.json mf26 ferry Ferry trips

Assignmnet spec files (.json) are saved in inputs\skim_params folder. Some factors are further revised as follows when SkimsAndPaths.py is running:

spec factor extra attribute initial value
waiting time headway_fraction @hdwfr 0.5
waiting time perception_factor @wait 2
in_vehicle_time perception_factor @invt 1

Network Skimming

Network skims are produced by time period in HDF5 format and are stored inputs/[tod].h5. The files contain both highway and transit skims. The seed skims are stored in [base_inputs]\seed_skims.

Highway

Four travel attributes are skimmed for every highway vehicle class: travel time (t), distance (d), cost (c), and generalized cost (g). The following table presents highway skims produced by the model. In the table, an x represents availability of the attribute for the vehicle class. For example, three skims are available for svtl1: travel time (svtl1t), travel distance (svtl1d), and travel cost (svtl1c).

Mode Description Time(t) Distance(d) Cost(c) Generalized Cost(g)
svtl1 SOV Toll Income Level 1 x x x
svtl2 SOV Toll Income Level 2 x x x x
svtl3 SOV Toll Income Level 3 x x x
svnt1 SOV No Toll Income Level 1 x x x
svnt2 SOV No Toll Income Level 2 x x x
svnt3 SOV No Toll Income Level 3 x x x
h2tl1 HOV 2 Toll Income Level 1 x x x
h2tl2 HOV 2 Toll Income Level 2 x x x
h2tl3 HOV 2 Toll Income Level 3 x x x
h2nt1 HOV 2 No Toll Income Level 1 x x x
h2nt2 HOV 2 No Toll Income Level 2 x x x
h2nt3 HOV 2 No Toll Income Level 3 x x x
h3tl1 HOV 3 Toll Income Level 1 x x x
h3tl2 HOV 3 Toll Income Level 2 x x x
h3tl3 HOV 3 Toll Income Level 3 x x x
h3nt1 HOV 3 No Toll Income Level 1 x x x
h3nt2 HOV 3 No Toll Income Level 2 x x x
h3nt3 HOV 3 No Toll Income Level 3 x x x
lttrk Light Trucks x x x x
metrk Medium Trucks x x x x
hvtrk Heavy Trucks x x x x

Note:

  • Travel time (t) and cost (c) skims are produced for all four time periods
  • Distance (d) and generalized cost (g) skims are produced only for the AM and PM time periods

Transit

There is transit submode hierarchy in place when travel time skims are calculated. For example, light rail journey must include light rail mode and could includes a combination of regular bus, BRT, street car, light rail, walk or walk access mode. If certain submode is not available, travel time on that particular submode would be much higher than other applicable submode, which makes that particular submode much less attractive.

Transit Journey b c p n o r f w x
b X X X X X
c X X X X X X X
p X X X X X X X X
f X X X X X X X X X
r X X X X X X

Transit skims are produced for all four time periods by submodes and pathtype (except transit fare which is generated only for AM period). The following table presents a list of transit skims produced by the model:

Skim Description
ivtw[Journey-type]* Total actual in-vehicle time on Journey-type(journey must including that specific journey-type)
ivtw[Journey-type][sub-mode]* actual in-vehicle time of sub-mode on path-type (journey including sub-mode on that specific journey-type)
xfrw[Journey-type]* Total transfer wait time on specific journey-type. xfrw[Journey-type] = twtw[Journey-type] - iwtw[Journey-type]
ndbw[Journey-type]* Avg. boardings (all applicable mode) on specific journey-type
iwtw[Journey-type]* First wait time (all applicable modes) on specific journey-type
twtw[Journey-type]* Total wait time (all applicable modes) on specific journey-type
auxw[Journey-type]* Auxiliary transit time on specific journey-type
mfafarbx Transit fare (generated only for AM period)

*Journey-type: local bus (a), passenger ferry (p), commuter rail (c), light rail (r), and ferry (f).
*Transit sub-modes: local bus (b), passenger ferry (p), commuter rail (c), light rail (r), and ferry (f).

Other

The model also produces travel time skims for bike and walk modes. The skims are produced only for the AM period and are shown in the following table.

Skim Description
mf'biket' Bike travel time
mf'walkt' Walk travel time
mf'bkat' Actual auxiliary transit times
mf'bkpt'