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Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute Peter Mazurek, Citilabs

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Page 1: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Developing Evacuation Model using Dynamic

Traffic Assignment

ChiPing Lam, Houston-Galveston Area CouncilDr. Jim Benson, Texas Transportation InstitutePeter Mazurek, Citilabs

Page 2: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Motivation

In September 2005, Hurricane Rita landed east of Houston

Well over 1 million people attempted to evacuate from the eight county region

Severe congestion as a results

Page 3: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Retreat!

Evacuation routes became “parking lots”.

Some people spent more than 18 hours on the evacuation routes

Fatal accidents, abandoned cars, and other safety issues

Page 4: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute
Page 5: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Crawling Speed US 290 WB FM 1960 to Barker Cypress

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0.00 4.00 8.00 12.00 16.00 20.00 24.00 28.00 32.00 36.00 40.00 44.00 48.00

Time from 9/21 midnight

Sp

eed

Page 6: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

In response…

H-GAC coordinated with various governmental agencies to develop a hurricane evacuation plan.

H-GAC was asked to develop a tool for evacuation planning.

Page 7: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Goal of this model

Re-generate the Rita evacuations Provide evacuation demands Estimate traffic volumes and delays Sensitive to various scenarios and plans Apply to non-evacuation planning

(corridor, sub-area, ITS, etc)

Page 8: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenge - Model Size

8-county region with 4.7 million population in 2000 and is expected to grow to over 7.7 million by 2035.

3000 zones and 43,000 links 7,700 Square miles from CBD to rural area Around 14,000,000 daily trips modeled Long trip: average work trip length over 20

minutes, with almost 10% over 40 minutes

Page 9: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenge - Demands

Little Survey data for Rita event Future evacuation demands could be

varied in– Time period– Response rate and number of trips– Origin and Destination

Interaction between evacuation, normal daily, and non-evacuation traffic

Page 10: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenge - Network

Network change during evacuation Sensitive to Policy Factors

– Contra-flow lane– Shoulder lane use– HOV lane opens to public– Ramp closure– Signal timing

Facilities become unavailable due to flooding, high wind, or other disasters

Page 11: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

H-GAC Expectation

Validation – Normal Day Traffic– Rita– Year 2010 Scenario

Able to adjust evacuation trip tables for different situations

Sensitive to policy factors Allow road changes within evacuation

Page 12: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Estimation Of Hurricane Evacuation Demand Models

Jim Benson

Texas Transportation Institute

Page 13: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute
Page 14: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Today’s Presentation

Study Area And Data Base Trip Generation Models Trip Distribution Models Time-of-day Factors

Page 15: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

H-GAC Study Area

Page 16: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Houston TranStar Rita Evacuation Survey

Solicited participation on website Participants responded to questions online 6,570 respondents 6,286 usable household responses 3,886 households evacuated by car or

truck

Page 17: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Evacuation Generation Models

Models developed for Rita event

Structured to facilitate exploring different evacuation scenarios

Page 18: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

APPROACH

Six-day event modeled Cross-classification variables:

– 6 geographical districts– 5 household size groups

Production models:– Probability of evacuating– Vehicle trips/evacuation household– Trip purpose split

Simple attraction models Non-resident trip models

Page 19: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Six Districts

Page 20: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

0%

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

Dist 1 Dist 2 Dist 3 Dist 4 Dist 5 Dist 6

Percent of Households Evacuating

Page 21: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Dist 1 Dist 2 Dist 3 Dist 4 Dist 5 Dist 6

1 pph

3 pph

5+ pph

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

1.80

2.00

Vehichle Trips/Evacuated Household

1 pph

2 pph

3 pph

4 pph

5+ pph

Page 22: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

0%

10%

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90%

Dist 1 Dist 2 Dist 3 Dist 4 Dist 5 Dist 6

Percent of Internal Trips Exiting

Page 23: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Internal Evacuation Attractions

Households 83.3%

Hotels & Motels 8.4%

Public Shelter 2.0%

Other 6.3%

Page 24: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

External Station Evacuation Attractions

Distributed attractions to other urban areas based on their population and relative accessibility

Allocated results to external stations

Page 25: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Rita Evacuation Generation Results

Internal-Internal 218,785

Internal-External 1,040,936

External-Internal

(non-residents)

5,406

External-External

(non-residents)

21,617

Page 26: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Two Trip Distribution Models

Evacuation trips to internal zones

Evacuation trips to external stations

Page 27: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Distribution Model For Internal Attractions

Essentially a “constrained interactance” model

No friction factors No iterative process Constrained to productions Interaction constraint Productions allocated to eligible attraction

zones based on relative attractiveness

Page 28: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Interaction Constraint

No attractions to zones in the 3 mandatory evacuation areas

Eligible attraction zones must be either:– Further from the coast, OR– 80+ miles from the coast

Page 29: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Zones By Distance From Coast

Page 30: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Distribution Model For External Station Attractions

Similar to traditional external-local models using a gravity model

Primary difference is that the external stations are treated the attractions

Somewhat relaxed version of the normal external-local friction factors used

Page 31: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

TRIP DISTRIBUTION RESULTS(normal off-peak speed travel time minutes)

Trip Purpose

Trips

Average

Trip

Length

90th %-tile

Trip

Length

Max

Trip

Length

Trips to

Internal

Zones

224,189 47 78 156

Trips to

External

Stations

1,062,757 72 104 176

All

Evacuation Trips

1,286,946 68 176

Page 32: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Time-of-day Factors

Estimated from survey data

Developed for each of the six districts

Hourly Distribution for 6-day Event

Page 33: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

% Distribution of Trips by Day

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Day of 6-day Event

%

Dist 1

Dist 2

Dist 3

Dist 4

Dist 5

Dist 6

Page 34: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Percent of Evacuation Trips by Hour

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Hour of 72-hour period (days 3-5)

% o

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rip

s Dist 1

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Dist 3

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Dist 5

Dist 6

Page 35: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Developing Alternative Scenarios

Consider adjustments to % households evacuating by district

Consider adjusting hourly distributions by district

Consider adjusting vehicle trip rates to reflect taking fewer vehicles by district

Page 36: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Next Step is Assignment….

Page 37: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Evacuation Model Development

using Cube Avenue

Pete MazurekDirector of Consulting ServicesCitilabs, Inc.

Page 38: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Input Parameter Types Tool for Evacuation/Event Planning

Needs to be sensitive to variations in THREE distinct types of inputs:

– Situational (Event-Specific) parameters

– Policy Change Inputs

– System and Background Inputs

Page 39: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Two Stages of The Evacuation Model Tool

Travel System Response and Performance

Process #1: Demand Profile Generator

System Demand Profile

Process #2: System Analyzer

Situation Inputs Policy Inputs System Inputs

Page 40: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

System Demand Profile

Background Demand– Everyday, regular “average weekday” trips – Stratified by hour for a 24-hour period– 3 successive weekday periods to comprise 72-hours

prior to storm landfall– Progressively attenuated because regular trips are

not taken once people evacuate

Evacuation Demand– The primary trip out of the storm’s path– Stratified by hour for 72 hours prior to landfall

Page 41: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Dynamic Traffic Assignment (DTA)

Method of system-level (regional) assignment analysis which seeks to track the progress of a trip through the regional network over time

Accounts for buildup of queues due to congestion and/or incidents

A bridge between traditional region-level static assignment and corridor-level micro-simulation

Page 42: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Why use DTA?

Why NOT use traditional (Static) assignment?– No impact of queues– No ability to deal with upstream impacts– Links do not directly affect each other– Not conducive to time-series analysis

Why NOT use traffic micro-simulation?– Study area of interest too large and complex– Too much data and memory required– Too many uncertainties to model accurately

Page 43: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Cube Avenue (DTA Module)

Add-on module to provide DTA capability for the Cube/ Cube Voyager model environment

Cube User Interface Works with regional network in Cube Voyager Common scripting language and data

requirements First full release of Cube Avenue works with

latest version of Cube Voyager (4.1)

Page 44: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Cube Avenue Technical Facts

Unit of travel is the “packet”– Represents some number of vehicles traveling from

same Origin to same Destination

Link travel time/speed is a function of– Link capacity– Queue storage capacity– Whether downstream links “block back” their queues

Link volumes are counted in the time period when a packet leaves the link

Page 45: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Houston Evacuation DTA: Existing models and data

Tool is an add-on to existing H-GAC travel demand model in Cube– Basic highway networks from regional model– Adjustments to network based on event parameters– Network modifications may vary across time

horizon of event• Flooding of low-lying links• Failure/closure of facilities• Reversal of freeway lanes

Page 46: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Houston Evacuation DTA Networks

Network from regional model Coding adjustments

– Centroid adjustment in downtown– Capacity and Storage Adjustment– Network Simplification

• Link Reduction• Centroid Connectors

– Turning Movements/Prohibitions– Intersection definition

Page 47: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

72 x 1-hour Assignments?

Entire 3-day storm approach window Individual 1-hour slices allows network changes What do we mean by 1-hour slice?

– 1-hour period of “analysis” from which results are reported

– Additional 1+ hour period of warmup (“pre-load”) whereby trips are loaded onto the network

– Ensures that trips in analysis period see and respond to full-load conditions

Page 48: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Houston Evacuation DTA Challenges

Long trip lengths Memory Limitation Ramp and freeway coding Long Running Time

Page 49: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenges: Long Trip Lengths

Houston is a huge region Background trips >1 hour not uncommon In evacuation conditions,

– ~95% of trips are longer than 1 hour– ~45% of trips are longer than 3 hours

Longer “pre-load” to ensure maximum number of trips have a chance to complete their trip in the analysis period.

Page 50: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Long Evacuation Trip Lengths

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60,000

70,000

80,000

90,000

10 30 50 70 90 110 130 150 170 190 210 230 250 270 290 310 330 350

Travel Time (minutes)

Eva

cuat

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Cu

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Page 51: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenges: Memory Limitations

Large dimensions of problem size Windows XP maximum memory for a

single process is 2GB Limits the number of pre-load hours and

iterations possible Network Simplification, reduce pre-load

period and iterations Wait for Windows “Vista” 64-bit

Page 52: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenges: Ramp and Freeway Coding

Texas style slip-ramps Networks are coded with Freeways and

Frontage roads separated Link coding codes through lanes but not

accel/decel lanes Storage capacity not accurately reflected

by default coding

Page 53: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Ramp and Freeway Coding

Page 54: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenges: Ramp and Freeway Coding

Ramp storage capacity as-coded was minimal

Queues from downstream intersections Queues block back onto mainline freeway

lanes too frequently All mainline lanes have equal impact upon

queue blockback Make ramp storage capacity large

Page 55: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Challenges: Long Running Times

Simulations take hours to run one hour of simulation (with pre-load)

X hours x 72 time periods => Long time Makes it difficult to test different tweaks Faster computer (processor/memory/hard drive) Wait for Windows “Vista” (64-bit) Capability to run selected hours only Cube Cluster distributed processing (future)

Page 56: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Next Steps/Still to Do

Refine application and verify software performance

Code intersections more explicitly Integrate attenuation of background demand Integrate evacuation demand Validate against known event speed/time data Re-visit time-of-day factors

Page 57: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Thank You

Peter MazurekDirector of Consulting ServicesCitilabs, Inc222 Prince George St, Suite 100Annapolis, MD 21401(410) [email protected]

Page 58: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Current Progress Developed hourly trip tables for normal

daily traffic Developed Rita evacuation demand trip

table for entire 72-hours period Validating normal daily scenarios

– Show directional speed difference in peak period

– VMT and speeds Simplified network

Page 59: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

Future Steps

Modify trip generation and distribution models to adopt different evacuation scenarios

Integrate normal daily and evacuation traffic to replicate Rita scenario

Coding traffic signals and other traffic control devices

Allow policy and environmental factors to change the network at specified time

Randomly generate accidents

Page 60: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

QuestionsQuestions

???

Page 61: Developing Evacuation Model using Dynamic Traffic Assignment ChiPing Lam, Houston-Galveston Area Council Dr. Jim Benson, Texas Transportation Institute

ENDEND