CAV Trajectory Optimization & Capacity Analysis - Modeling Methods and Field Experiments

Size: px
Start display at page:

Download "CAV Trajectory Optimization & Capacity Analysis - Modeling Methods and Field Experiments"

Transcription

1 CAV Trajectory Optimization & Capacity Analysis - Modeling Methods and Field Experiments Xiaopeng (Shaw) Li Assistant Professor, Susan A. Bracken Faculty Fellow Department of Civil and Environmental Engineering, University of South Florida 6/25/2018 Session 2B: Are We Ready for the AV Future? 7th Innovations in Travel Modeling Conference

2 Hope for CAV: Capacity Booster 2 People expect connected automated vehicles can significantly increase (or even multiple) high way capacity How to realize this potential? Human-driven traffic CAV traffic

3 Steps to Improve CAV Capacity 3 Microscopic trajectory control Reduce headway Improve traffic smoothness Macroscopic capacity analysis Understand the relationship between cav traffic characteristics (e.g., CAV penetration ratio) and macroscopic measures (e.g., traffic throughput) Validation Field experiments Data analysis

4 CAV Trajectory Optimization 4 Signalized Intersections Coordinate signal timing with vehicle trajectory control Human-driven traffic CAV traffic

5 Parsimonious Algorithms 5 Shooting heuristic (SH) A small number of analytical sections

6 Benchmark vs. SH 6 Reference *Ma, J., Li, X., Zhou, F., Hu, J. and Park, B Parsimonious shooting heuristic for trajectory design of connected automated traffic part II: Computational issues and optimization Transportation Research Part B, 95, *Zhou, F., Li, X. and Ma, J Parsimonious shooting heuristic for trajectory design of connected automated traffic part I: Theoretical analysis with generalized time geography. Transportation Research Part B, 95,

7 CAV Trajectory Optimization Signalized Intersections Mixed Traffic (CAVs + Human-driven vehicles (HVS)) IVSL IVSL2 Distance (m) Distance (m) Distance (m) IVSL Time (s) (a) Time (s) (b) 100 IVSL Time (s) (f) Reference *Yao, H., Cui, J., Li, X., Wang, Y. and An, S., 2018, A Trajectory Smoothing Method at Signalized Intersection based on Individualized Variable Speed Limits with Location Optimization, Transportation Research Part D, 62, pp

8 CAV Trajectory Optimization 8 Freeway Speed Harmonization Exit time I. Prediction problem II. Shooting heuristic problem Reference: * Ghiasi, A., Li, X., Ma, J. and Qu, X A Mixed Traffic Speed Harmonization Model with Connected Automated Vehicles, Transportation Research Part C. Under Revision

9 Trajectory Control Capacity Analysis 9 CAV control Heterogeneous headways in mixed traffic Freq. Freq. Freq. Freq h (s) h (s) h (s) h (s)

10 Capacity Analysis 10 CAV technology uncertainties Will CAV reduce headways? Google car pulled over for being too slow

11 Capacity Analysis 11 Different technology scenarios Freq. Freq. Freq. Freq h (s) h (s) h (s) h (s)

12 Capacity Analysis 12 CAV market penetration rate Low CAV market penetration rate High CAV market penetration rate 12

13 Capacity Analysis 13 CAV platooning intensity Low CAV platooning intensity High CAV platooning intensity 13

14 Analytical Capacity Formulation 14 Markov chain model 1 0 nn tt 11, h 11 tt 01, h 01 tt 10, h 10 tt 00, h 00 nn + 1

15 Analytical Capacity Formulation 15 Markov chain model PP 1 0,1 : CAV market penetration rate OO [ 1,1]: CAV platooning intensity TT tt 11 tt 10 tt 01 tt 00 15

16 Analytical Capacity Formulation 16 Approximate capacity cc NN 1 = NN 1 EE h nn nn=1 NN 1 NN 1 = h AA nnaann+1 nn=1 Theorem 1: cc cc for any finite N Theorem 2: When OO < 1, PPPP cc 1 ss SS,rr SS PP ss tt ssss h ssss cc aaaa NN 16

17 Capacity analysis 17 Numerical analysis Optimistic Headway Conservative Headway 17

18 Application Lane Management 18 Determine the optimal number of CAV lanes cc A 1/ h 11 qq AA mmmmmm PP 1 DD, ll AA cc A pp 1 mmmmmm 0, PP 1DD ll AA cc A mmmmmm 1, DD qq AA cc mixx 1 ss SS,rr SS pp ss tt ssss h ssss ll AA LL ll AA QQ qq AA + min DD qq AA, LL ll AA cc mixx Reference: * Ghiasi, A., Hussein, O., Qian, S.Z. and Li, X., A mixed traffic capacity analysis and lane management model for connected automated vehicles: a Markov chain method, Transportation Research Part B, 106, pp

19 CAV Fundamental Diagrams 19 Ongoing Research Throughput Capacity Density Reference: Qian, Z.S., Li, J., Li, X., Zhang, M. and Wang, H., Modeling heterogeneous traffic flow: A pragmatic approach. Transportation Research Part B, 99, pp

20 Field Experiments HVs following tests in Harbin, China (collaborating with Harbin Institute of Technology) speed time Lead vehicle Following vehicles

21 Field Experiments 21 HV following CAV/HV at the 2.4 km test track at Chang an University, China Test different drivers, different CAV speed

22 Field Experiments 22 HV following CAV/HV at the 2.4 km test track at Chang an University, China Test different drivers, different CAV speed

23 Field Experiments 23 Difference between HV-following-CAV and HV-following-AV

24 Acknowledgements 24 Students Fang Zhou (Li s student) Amir Ghiasi (Li s student) Omar Hussain (Li s student) Handong Yao (Harbin Institute of Technologies) Zhen Wang (Chang an University) Collaborators Jiaqi Ma (University of Cincinnati) Zhigang Xu (Chang an University) Jianxun Cui (Harbin Institute of Technologies) Sean Qian (CMU) Funding agencies

25 Thank you! Q & A? Xiaopeng (Shaw) Li, Ph.D. Assistant Professor, Susan A. Bracken Faculty Fellow Department of Civil and Environmental Engineering University of South Florida 4202 E. Fowler Avenue, ENG 207 Tampa, FL Phone: ; Fax: Website:

A Hierarchical Model-based Optimization Control Method for Merging of Connected Automated Vehicles. Na Chen, Meng Wang, Tom Alkim, Bart van Arem

A Hierarchical Model-based Optimization Control Method for Merging of Connected Automated Vehicles. Na Chen, Meng Wang, Tom Alkim, Bart van Arem A Hierarchical Model-based Optimization Control Method for Merging of Connected Automated Vehicles Na Chen, Meng Wang, Tom Alkim, Bart van Arem 1 Background Vehicle-to-Vehicle communication Vehicle-to-Infrastructure

More information

suppressing traffic flow instabilities

suppressing traffic flow instabilities suppressing traffic flow instabilities S S VF VC VL D D Berthold K.P. Horn Traffic flow instabilities waste energy: At high densities traffic flow becomes unstable Traffic acts as if it was a dilatant

More information

Connected Vehicle Technology Affected Safety Surrogate Measurement Hao Liu 1, Heng Wei 2, Ting Zuo 3, Y. Jeffrey Yang 4

Connected Vehicle Technology Affected Safety Surrogate Measurement Hao Liu 1, Heng Wei 2, Ting Zuo 3, Y. Jeffrey Yang 4 1 Connected Vehicle Technology Affected Safety Surrogate Measurement Hao Liu 1, Heng Wei 2, Ting Zuo 3, Y. Jeffrey Yang 4 Ph.D., Postdoctoral Research Fellow, PATH Program, The University of California

More information

Traffic Flow Theory & Simulation

Traffic Flow Theory & Simulation Traffic Flow Theory & Simulation S.P. Hoogendoorn Lecture 4 Shockwave theory Shockwave theory I: Introduction Applications of the Fundamental Diagram February 14, 2010 1 Vermelding onderdeel organisatie

More information

10.4 The Cross Product

10.4 The Cross Product Math 172 Chapter 10B notes Page 1 of 9 10.4 The Cross Product The cross product, or vector product, is defined in 3 dimensions only. Let aa = aa 1, aa 2, aa 3 bb = bb 1, bb 2, bb 3 then aa bb = aa 2 bb

More information

Traffic Progression Models

Traffic Progression Models Traffic Progression Models Lecture Notes in Transportation Systems Engineering Prof. Tom V. Mathew Contents 1 Introduction 1 2 Characterizing Platoon 2 2.1 Variables describing platoon............................

More information

Encapsulating Urban Traffic Rhythms into Road Networks

Encapsulating Urban Traffic Rhythms into Road Networks Encapsulating Urban Traffic Rhythms into Road Networks Junjie Wang +, Dong Wei +, Kun He, Hang Gong, Pu Wang * School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan,

More information

Chapter 5 Traffic Flow Characteristics

Chapter 5 Traffic Flow Characteristics Chapter 5 Traffic Flow Characteristics 1 Contents 2 Introduction The Nature of Traffic Flow Approaches to Understanding Traffic Flow Parameters Connected with Traffic Flow Categories of Traffic Flow The

More information

String and robust stability of connected vehicle systems with delayed feedback

String and robust stability of connected vehicle systems with delayed feedback String and robust stability of connected vehicle systems with delayed feedback Gopal Krishna Kamath, Krishna Jagannathan and Gaurav Raina Department of Electrical Engineering Indian Institute of Technology

More information

TEEN DRIVER SEAT BELT OBSERVATION FORM

TEEN DRIVER SEAT BELT OBSERVATION FORM TEEN DRIVER SEAT BELT OBSERVATION FORM High Schools will count only teen drivers and passengers. If the vehicle is being driven by an adult, only count teen passengers. DO NOT notify students that counts

More information

TEEN DRIVER ELECTRONIC DEVICE OBSERVATION FORM

TEEN DRIVER ELECTRONIC DEVICE OBSERVATION FORM TEEN OBSERVATION FORM High Schools will count only teen drivers. If your school does not have many teen drivers, please use the Junior High form to count adult drivers. Choose a day to conduct your pre-observations.

More information

Revision : Thermodynamics

Revision : Thermodynamics Revision : Thermodynamics Formula sheet Formula sheet Formula sheet Thermodynamics key facts (1/9) Heat is an energy [measured in JJ] which flows from high to low temperature When two bodies are in thermal

More information

CELLULAR AUTOMATA SIMULATION OF TRAFFIC LIGHT STRATEGIES IN OPTIMIZING THE TRAFFIC FLOW

CELLULAR AUTOMATA SIMULATION OF TRAFFIC LIGHT STRATEGIES IN OPTIMIZING THE TRAFFIC FLOW CELLULAR AUTOMATA SIMULATION OF TRAFFIC LIGHT STRATEGIES IN OPTIMIZING THE TRAFFIC FLOW ENDAR H. NUGRAHANI, RISWAN RAMDHANI Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bogor

More information

2.1 Traffic Stream Characteristics. Time Space Diagram and Measurement Procedures Variables of Interest

2.1 Traffic Stream Characteristics. Time Space Diagram and Measurement Procedures Variables of Interest 2.1 Traffic Stream Characteristics Time Space Diagram and Measurement Procedures Variables of Interest Traffic Stream Models 2.1 Traffic Stream Characteristics Time Space Diagram Speed =100km/h = 27.78

More information

Real-time, Adaptive Prediction of Incident Delay for Advanced Traffic Management Systems

Real-time, Adaptive Prediction of Incident Delay for Advanced Traffic Management Systems Real-time, Adaptive Prediction of Incident Delay for Advanced Traffic Management Systems Liping Fu and Bruce Hellinga Department of Civil Engineering, University of Waterloo, Waterloo, Canada Phone: 59

More information

SECTION 7: STEADY-STATE ERROR. ESE 499 Feedback Control Systems

SECTION 7: STEADY-STATE ERROR. ESE 499 Feedback Control Systems SECTION 7: STEADY-STATE ERROR ESE 499 Feedback Control Systems 2 Introduction Steady-State Error Introduction 3 Consider a simple unity-feedback system The error is the difference between the reference

More information

A Proposed Driver Assistance System in Adverse Weather Conditions

A Proposed Driver Assistance System in Adverse Weather Conditions 1 A Proposed Driver Assistance System in Adverse Weather Conditions National Rural ITS Conference Student Paper Competition Second runner-up Ismail Zohdy Ph.D. Student, Department of Civil & Environmental

More information

Linear Model Predictive Control for Queueing Networks in Manufacturing and Road Traffic

Linear Model Predictive Control for Queueing Networks in Manufacturing and Road Traffic Linear Model Predictive Control for ueueing Networks in Manufacturing and Road Traffic Yoni Nazarathy Swinburne University of Technology, Melbourne. Joint work with: Erjen Lefeber (manufacturing), Hai

More information

VEHICULAR TRAFFIC FLOW MODELS

VEHICULAR TRAFFIC FLOW MODELS BBCR Group meeting Fri. 25 th Nov, 2011 VEHICULAR TRAFFIC FLOW MODELS AN OVERVIEW Khadige Abboud Outline Introduction VANETs Why we need to know traffic flow theories Traffic flow models Microscopic Macroscopic

More information

Worksheets for GCSE Mathematics. Quadratics. mr-mathematics.com Maths Resources for Teachers. Algebra

Worksheets for GCSE Mathematics. Quadratics. mr-mathematics.com Maths Resources for Teachers. Algebra Worksheets for GCSE Mathematics Quadratics mr-mathematics.com Maths Resources for Teachers Algebra Quadratics Worksheets Contents Differentiated Independent Learning Worksheets Solving x + bx + c by factorisation

More information

$QDO\]LQJ$UWHULDO6WUHHWVLQ1HDU&DSDFLW\ RU2YHUIORZ&RQGLWLRQV

$QDO\]LQJ$UWHULDO6WUHHWVLQ1HDU&DSDFLW\ RU2YHUIORZ&RQGLWLRQV Paper No. 001636 $QDO\]LQJ$UWHULDO6WUHHWVLQ1HDU&DSDFLW\ RU2YHUIORZ&RQGLWLRQV Duplication for publication or sale is strictly prohibited without prior written permission of the Transportation Research Board

More information

Time Space Diagrams for Thirteen Shock Waves

Time Space Diagrams for Thirteen Shock Waves Time Space Diagrams for Thirteen Shock Waves Benjamin Coifman Institute of Transportation Studies 19 McLaughlin Hall University of California Berkeley, CA 9472 zephyr@eecs.berkeley.edu http://www.cs.berkeley.edu/~zephyr

More information

Numerical Solution of a Fluid Dynamic Traffic Flow Model Associated with a Constant Rate Inflow

Numerical Solution of a Fluid Dynamic Traffic Flow Model Associated with a Constant Rate Inflow American Journal of Computational and Applied Mathematics 2015, 5(1): 18-26 DOI: 10.5923/j.ajcam.20150501.04 Numerical Solution of a Fluid Dynamic Traffic Flow Model Associated with a Constant Rate Inflow

More information

INTRODUCTION PURPOSE DATA COLLECTION

INTRODUCTION PURPOSE DATA COLLECTION DETERMINATION OF VEHICLE OCCUPANCY ON THE KATY AND NORTHWEST FREEWAY MAIN LANES AND FRONTAGE ROADS Mark Ojah and Mark Burris Houston Value Pricing Project, March 2004 INTRODUCTION In the late 1990s, an

More information

Chapter 22 : Electric potential

Chapter 22 : Electric potential Chapter 22 : Electric potential What is electric potential? How does it relate to potential energy? How does it relate to electric field? Some simple applications What does it mean when it says 1.5 Volts

More information

Review for Exam Hyunse Yoon, Ph.D. Assistant Research Scientist IIHR-Hydroscience & Engineering University of Iowa

Review for Exam Hyunse Yoon, Ph.D. Assistant Research Scientist IIHR-Hydroscience & Engineering University of Iowa 57:020 Fluids Mechanics Fall2013 1 Review for Exam3 12. 11. 2013 Hyunse Yoon, Ph.D. Assistant Research Scientist IIHR-Hydroscience & Engineering University of Iowa 57:020 Fluids Mechanics Fall2013 2 Chapter

More information

TECHNICAL NOTE AUTOMATIC GENERATION OF POINT SPRING SUPPORTS BASED ON DEFINED SOIL PROFILES AND COLUMN-FOOTING PROPERTIES

TECHNICAL NOTE AUTOMATIC GENERATION OF POINT SPRING SUPPORTS BASED ON DEFINED SOIL PROFILES AND COLUMN-FOOTING PROPERTIES COMPUTERS AND STRUCTURES, INC., FEBRUARY 2016 TECHNICAL NOTE AUTOMATIC GENERATION OF POINT SPRING SUPPORTS BASED ON DEFINED SOIL PROFILES AND COLUMN-FOOTING PROPERTIES Introduction This technical note

More information

Optimizing traffic flow on highway with three consecutive on-ramps

Optimizing traffic flow on highway with three consecutive on-ramps 2012 Fifth International Joint Conference on Computational Sciences and Optimization Optimizing traffic flow on highway with three consecutive on-ramps Lan Lin, Rui Jiang, Mao-Bin Hu, Qing-Song Wu School

More information

Answers to Practice Test Questions 2 Atoms, Isotopes and Nuclear Chemistry

Answers to Practice Test Questions 2 Atoms, Isotopes and Nuclear Chemistry Answers to Practice Test Questions 2 Atoms, Isotopes and Nuclear Chemistry. Fluine has only one stable isotope. Its mass number is _9_. A neutral atom of fluine has 9 protons, 0 neutrons and 9 electrons.

More information

c) What are cumulative curves, and how are they constructed? (1 pt) A count of the number of vehicles over time at one location (1).

c) What are cumulative curves, and how are they constructed? (1 pt) A count of the number of vehicles over time at one location (1). Exam 4821 Duration 3 hours. Points are indicated for each question. The exam has 5 questions 54 can be obtained. Note that half of the points is not always suffcient for a 6. Use your time wisely! Remarks:

More information

Traffic Flow Theory and Simulation

Traffic Flow Theory and Simulation Traffic Flow Theory and Simulation V.L. Knoop Lecture 2 Arrival patterns and cumulative curves Arrival patterns From microscopic to macroscopic 24-3-2014 Delft University of Technology Challenge the future

More information

ME5286 Robotics Spring 2017 Quiz 2

ME5286 Robotics Spring 2017 Quiz 2 Page 1 of 5 ME5286 Robotics Spring 2017 Quiz 2 Total Points: 30 You are responsible for following these instructions. Please take a minute and read them completely. 1. Put your name on this page, any other

More information

(Lecture 18) MAT FOUNDATIONS

(Lecture 18) MAT FOUNDATIONS Module 5 (Lecture 18) MAT FOUNDATIONS Topics 1.1 FIELD SETTLEMENT OBSERVATIONS FOR MAT FOUNDATIONS 1.2 COMPENSATED FOUNDATIONS 1.3 Example FIELD SETTLEMENT OBSERVATIONS FOR MAT FOUNDATIONS Several field

More information

Curriculum Vitae WEIQING REN

Curriculum Vitae WEIQING REN 1 Curriculum Vitae WEIQING REN ADDRESS Department of Mathematics, National University of Singapore, Block S17, #08-07, 10 Lower Kent Ridge Road, Singapore 119076 Webpage: http://www.math.nus.edu.sg/~matrw

More information

ALASKA ITS. Vehicles and Observations in the cloud

ALASKA ITS. Vehicles and Observations in the cloud ALASKA ITS Vehicles and Observations in the cloud 1 YOUR PRESENTERS Wilf Nixon, Salt Institute Mark DeVries, Vaisala Dan Schacher, ADOT&PF 2 Today s Agenda A Cloud Based Overview connected and autonomous

More information

The Existence of Multiple Power Flow Solutions in Unbalanced Three-Phase Circuits

The Existence of Multiple Power Flow Solutions in Unbalanced Three-Phase Circuits IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 18, NO. 2, MAY 2003 605 The Existence of Multiple Power Flow Solutions in Unbalanced Three-Phase Circuits Yuanning Wang, Student Member, IEEE, and Wilsun Xu, Senior

More information

Accreting neutron stars provide a unique environment for nuclear reactions

Accreting neutron stars provide a unique environment for nuclear reactions , Tracy Steinbach, Jon Schmidt, Varinderjit Singh, Sylvie Hudan, Romualdo de Souza, Lagy Baby, Sean Kuvin, Ingo Wiedenhover Accreting neutron stars provide a unique environment for nuclear reactions High

More information

Review for Exam Hyunse Yoon, Ph.D. Adjunct Assistant Professor Department of Mechanical Engineering, University of Iowa

Review for Exam Hyunse Yoon, Ph.D. Adjunct Assistant Professor Department of Mechanical Engineering, University of Iowa Review for Exam3 12. 9. 2015 Hyunse Yoon, Ph.D. Adjunct Assistant Professor Department of Mechanical Engineering, University of Iowa Assistant Research Scientist IIHR-Hydroscience & Engineering, University

More information

Module 4 (Lecture 16) SHALLOW FOUNDATIONS: ALLOWABLE BEARING CAPACITY AND SETTLEMENT

Module 4 (Lecture 16) SHALLOW FOUNDATIONS: ALLOWABLE BEARING CAPACITY AND SETTLEMENT Topics Module 4 (Lecture 16) SHALLOW FOUNDATIONS: ALLOWABLE BEARING CAPACITY AND SETTLEMENT 1.1 STRIP FOUNDATION ON GRANULAR SOIL REINFORCED BY METALLIC STRIPS Mode of Failure Location of Failure Surface

More information

Xiaoguang Wang, Assistant Professor, Department of Geography, Central Michigan University Chao Liu,

Xiaoguang Wang,   Assistant Professor, Department of Geography, Central Michigan University Chao Liu, Xiaoguang Wang, Email: wang9x@cmich.edu Assistant Professor, Department of Geography, Central Michigan University Chao Liu, Email: cliu8@umd.edu Research Associate, National Center for Smart Growth, Research

More information

Travel Time Calculation With GIS in Rail Station Location Optimization

Travel Time Calculation With GIS in Rail Station Location Optimization Travel Time Calculation With GIS in Rail Station Location Optimization Topic Scope: Transit II: Bus and Rail Stop Information and Analysis Paper: # UC8 by Sutapa Samanta Doctoral Student Department of

More information

CHAPTER 5 DELAY ESTIMATION FOR OVERSATURATED SIGNALIZED APPROACHES

CHAPTER 5 DELAY ESTIMATION FOR OVERSATURATED SIGNALIZED APPROACHES CHAPTER 5 DELAY ESTIMATION FOR OVERSATURATED SIGNALIZED APPROACHES Delay is an important measure of effectiveness in traffic studies, as it presents the direct cost of fuel consumption and indirect cost

More information

A Virtual Vehicle Based Coordination Framework For Autonomous Vehicles in Heterogeneous Scenarios

A Virtual Vehicle Based Coordination Framework For Autonomous Vehicles in Heterogeneous Scenarios A Virtual Vehicle Based Coordination Framework For Autonomous Vehicles in Heterogeneous Scenarios Ezequiel Debada, Laleh Makarem and Denis Gillet Abstract This work presents a novel virtual vehicle based

More information

arxiv: v1 [math.oc] 10 Mar 2019

arxiv: v1 [math.oc] 10 Mar 2019 Decentralized Optimal Path Planning and Coordination for Connected and Automated Vehicles at Signalized-Free Intersections Andreas A. Malikopoulos, Senior Member, IEEE, and Liuhui Zhao, Member, IEEE arxiv:1903.04013v1

More information

Section 2: Equations and Inequalities

Section 2: Equations and Inequalities Topic 1: Equations: True or False?... 29 Topic 2: Identifying Properties When Solving Equations... 31 Topic 3: Solving Equations... 34 Topic 4: Solving Equations Using the Zero Product Property... 36 Topic

More information

Indonesian Highway Capacity Guidance (IHCG) correction factor for signalized intersection

Indonesian Highway Capacity Guidance (IHCG) correction factor for signalized intersection Indonesian Highway Capacity Guidance (IHCG) correction factor for signalized intersection Amelia K. Indriastuti and Eko Yulipriyono Civil Engineering Department, Diponegoro University, Prof. Sudharto Avenue,

More information

Deep Algebra Projects: Algebra 1 / Algebra 2 Go with the Flow

Deep Algebra Projects: Algebra 1 / Algebra 2 Go with the Flow Deep Algebra Projects: Algebra 1 / Algebra 2 Go with the Flow Topics Solving systems of linear equations (numerically and algebraically) Dependent and independent systems of equations; free variables Mathematical

More information

HW: Scatter Plots. 1. The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999.

HW: Scatter Plots. 1. The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999. Name: Date: 1. The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999. 2. Ms. Ochoa recorded the age and shoe size of each student in

More information

Terms of Use. Copyright Embark on the Journey

Terms of Use. Copyright Embark on the Journey Terms of Use All rights reserved. No part of this packet may be reproduced, stored in a retrieval system, or transmitted in any form by any means - electronic, mechanical, photo-copies, recording, or otherwise

More information

Urban Tunnel Traffic Operating Characteristics and Its Safety Study Based on Surveillance Camera Data

Urban Tunnel Traffic Operating Characteristics and Its Safety Study Based on Surveillance Camera Data 2 1 8 2 0 1 1 8 Vol. 2 1 No. 8 Aug. 2 0 1 1 * 1 2 3 1 201804 2 32816 3 201804 6206010 X951 U491 A 09PJ1409900 20090072120016 Urban Tunnel Traffic Operating Characteristics and Its Safety Study Based on

More information

Uncertain Quadratic Minimum Spanning Tree Problem

Uncertain Quadratic Minimum Spanning Tree Problem Uncertain Quadratic Minimum Spanning Tree Problem Jian Zhou Xing He Ke Wang School of Management Shanghai University Shanghai 200444 China Email: zhou_jian hexing ke@shu.edu.cn Abstract The quadratic minimum

More information

2015 Grand Forks East Grand Forks TDM

2015 Grand Forks East Grand Forks TDM GRAND FORKS EAST GRAND FORKS 2015 TRAVEL DEMAND MODEL UPDATE DRAFT REPORT To the Grand Forks East Grand Forks MPO October 2017 Diomo Motuba, PhD & Muhammad Asif Khan (PhD Candidate) Advanced Traffic Analysis

More information

Traffic Modelling for Moving-Block Train Control System

Traffic Modelling for Moving-Block Train Control System Commun. Theor. Phys. (Beijing, China) 47 (2007) pp. 601 606 c International Academic Publishers Vol. 47, No. 4, April 15, 2007 Traffic Modelling for Moving-Block Train Control System TANG Tao and LI Ke-Ping

More information

The Next Generation of Traffic Management Systems

The Next Generation of Traffic Management Systems AASHTO CTSO ITS Working Group Meeting The Next Generation of Traffic Management Systems What Resources Do Agencies Need & Is There Interest to Collaborate With TRB Technical Committees & Other Groups?

More information

Ying Song. Assistant Professor, Department of Geography, Environment and Society Faculty Member, Center for Transportation Studies (CTS)

Ying Song. Assistant Professor, Department of Geography, Environment and Society Faculty Member, Center for Transportation Studies (CTS) Ying Song Department of Geography, Environment and Society University of Minnesota, Twin Cities 478 Social Science, 267-19th Avenue South Minneapolis, MN 55455, USA Office: +1.612.625.2056 Fax: +1.612.624.1044

More information

Some examples of radical equations are. Unfortunately, the reverse implication does not hold for even numbers nn. We cannot

Some examples of radical equations are. Unfortunately, the reverse implication does not hold for even numbers nn. We cannot 40 RD.5 Radical Equations In this section, we discuss techniques for solving radical equations. These are equations containing at least one radical expression with a variable, such as xx 2 = xx, or a variable

More information

Traffic flow theory involves the development of mathematical relationships among

Traffic flow theory involves the development of mathematical relationships among CHAPTER 6 Fundamental Principles of Traffic Flow Traffic flow theory involves the development of mathematical relationships among the primary elements of a traffic stream: flow, density, and speed. These

More information

Mesoscopic Traffic Flow Model Considering Overtaking Requirements*

Mesoscopic Traffic Flow Model Considering Overtaking Requirements* Journal of Highway and Transponation Research and Development Vol. 9,No. 4 (2015)085 Mesoscopic Traffic Flow Model Considering Overtaking Requirements* LU Shou-feng (p ili )1**, WANG Jie(J:. )1, XUE Zhi-gui(M

More information

Worksheets for GCSE Mathematics. Algebraic Expressions. Mr Black 's Maths Resources for Teachers GCSE 1-9. Algebra

Worksheets for GCSE Mathematics. Algebraic Expressions. Mr Black 's Maths Resources for Teachers GCSE 1-9. Algebra Worksheets for GCSE Mathematics Algebraic Expressions Mr Black 's Maths Resources for Teachers GCSE 1-9 Algebra Algebraic Expressions Worksheets Contents Differentiated Independent Learning Worksheets

More information

Information. A Fitting Approach. 1. Introduction

Information. A Fitting Approach. 1. Introduction www.ijcsi.org 150 A Fitting Approach to Mend Defective Urban Traffic Flow Information Based on SARBF Neural Networks Ning Chen, Weibing Weng and Xing Xu School of Mechanical and Automotive Engineering,

More information

Experiments of Earthquake Early Warning to Expressway Drivers using Plural Driving Simulators

Experiments of Earthquake Early Warning to Expressway Drivers using Plural Driving Simulators nd International Conference on Urban Disaster Reduction November ~9, Experiments of Earthquake Early Warning to Expressway Drivers using Plural Driving Simulators Fumio Yamazaki 1*, Yoshihisa Maruyama

More information

SYSTEM OPERATIONS. Dr. Frank A. Monforte

SYSTEM OPERATIONS. Dr. Frank A. Monforte SYSTEM OPERATIONS FORECASTING Dr. Frank A. Monforte Itron s Forecasting Brown Bag Seminar September 13, 2011 PLEASE REMEMBER» In order to help this session run smoothly, your phones are muted.» To make

More information

Traffic Flow Theory & Simulation

Traffic Flow Theory & Simulation Traffic Flow Theory & Simulation S.P. Hoogendoorn Lecture 1 Introduction Photo by Wikipedia / CC BY SA Course 4821 - Introduction 1 57 Photo by wikipedia / CC BY SA Traffic Flow Theory & Simulation An

More information

Answers to Practice Test Questions 8 Effect of Temperature on Equilibrium. gas gas

Answers to Practice Test Questions 8 Effect of Temperature on Equilibrium. gas gas Answers to Practice Test Questions 8 Effect of Temperature on Equilibrium. (a)-(c) solid liquid solid critical point liquid gas gas triple point xenon neon (d) The normal boiling point of the noble gas

More information

Modeling Traffic Flow for Two and Three Lanes through Cellular Automata

Modeling Traffic Flow for Two and Three Lanes through Cellular Automata International Mathematical Forum, Vol. 8, 2013, no. 22, 1091-1101 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/imf.2013.3486 Modeling Traffic Flow for Two and Three Lanes through Cellular Automata

More information

A CASE STUDY ON EDUCATING ENGINEERING STUDENTS ON THE CHALLENGES OF URBANIZED AT-GRADE INTERSECTIONS

A CASE STUDY ON EDUCATING ENGINEERING STUDENTS ON THE CHALLENGES OF URBANIZED AT-GRADE INTERSECTIONS A CASE STUDY ON EDUCATING ENGINEERING STUDENTS ON THE CHALLENGES OF URBANIZED AT-GRADE INTERSECTIONS Villanova University, Dept. of Civil & Environmental Engineering Villanova, Pennsylvania Presented by:

More information

Rational Equations and Graphs

Rational Equations and Graphs RT.5 Rational Equations and Graphs Rational Equations In previous sections of this chapter, we worked with rational expressions. If two rational expressions are equated, a rational equation arises. Such

More information

Parking Regulations Dundas Street West, from Bathurst Street to Dovercourt Road

Parking Regulations Dundas Street West, from Bathurst Street to Dovercourt Road STAFF REPORT ACTION REQUIRED Parking Regulations Dundas Street West, from Bathurst Street to Dovercourt Road Date: October 28, 2008 To: From: Toronto and East York Community Council Director, Transportation

More information

An Interruption in the Highway: New Approach to Modeling the Car-Traffic

An Interruption in the Highway: New Approach to Modeling the Car-Traffic EJTP 7, No. 23 (21) 123 136 Electronic Journal of Theoretical Physics An Interruption in the Highway: New Approach to Modeling the Car-Traffic Amin Rezaeezadeh Electrical Engineering Department, Sharif

More information

Systems of Linear Equations

Systems of Linear Equations Systems of Linear Equations As stated in Section G, Definition., a linear equation in two variables is an equation of the form AAAA + BBBB = CC, where AA and BB are not both zero. Such an equation has

More information

Yu (Marco) Nie. Appointment Northwestern University Assistant Professor, Department of Civil and Environmental Engineering, Fall present.

Yu (Marco) Nie. Appointment Northwestern University Assistant Professor, Department of Civil and Environmental Engineering, Fall present. Yu (Marco) Nie A328 Technological Institute Civil and Environmental Engineering 2145 Sheridan Road, Evanston, IL 60202-3129 Phone: (847) 467-0502 Fax: (847) 491-4011 Email: y-nie@northwestern.edu Appointment

More information

Curriculum Vitae. Ran Wei

Curriculum Vitae. Ran Wei Curriculum Vitae Ran Wei Contact Information Mailing Address: Department of Geography University of Utah 260 S. Central Campus Dr., Rm. 270 Salt Lake City, UT 84112-9155, USA Phone: 1-801-581-8730 Email:

More information

arxiv: v1 [physics.soc-ph] 18 Dec 2009

arxiv: v1 [physics.soc-ph] 18 Dec 2009 arxiv:912.3613v1 [physics.soc-ph] 18 Dec 29 Enhanced Intelligent Driver Model to Access the Impact of Driving Strategies on Traffic Capacity By Arne Kesting 1, Martin Treiber 1 and Dirk Helbing 2 1 Institute

More information

1. The graph of a function f is given above. Answer the question: a. Find the value(s) of x where f is not differentiable. Ans: x = 4, x = 3, x = 2,

1. The graph of a function f is given above. Answer the question: a. Find the value(s) of x where f is not differentiable. Ans: x = 4, x = 3, x = 2, 1. The graph of a function f is given above. Answer the question: a. Find the value(s) of x where f is not differentiable. x = 4, x = 3, x = 2, x = 1, x = 1, x = 2, x = 3, x = 4, x = 5 b. Find the value(s)

More information

Solid Rocket Motor Combustion Instability Modeling in COMSOL Multiphysics

Solid Rocket Motor Combustion Instability Modeling in COMSOL Multiphysics Solid Rocket Motor Combustion Instability Modeling in COMSOL Multiphysics Sean R. Fischbach Mashall Space Flight Center / Qualis Corp. / Jacobs ESSSA Group *MSFC Huntsville sean.r.fischbach@nasa.gov Outline

More information

CHAPTER 2. CAPACITY OF TWO-WAY STOP-CONTROLLED INTERSECTIONS

CHAPTER 2. CAPACITY OF TWO-WAY STOP-CONTROLLED INTERSECTIONS CHAPTER 2. CAPACITY OF TWO-WAY STOP-CONTROLLED INTERSECTIONS 1. Overview In this chapter we will explore the models on which the HCM capacity analysis method for two-way stop-controlled (TWSC) intersections

More information

Spontaneous Jam Formation

Spontaneous Jam Formation Highway Traffic Introduction Traffic = macroscopic system of interacting particles (driven or self-driven) Nonequilibrium physics: Driven systems far from equilibrium Collective phenomena physics! Empirical

More information

A Probability-Based Model of Traffic Flow

A Probability-Based Model of Traffic Flow A Probability-Based Model of Traffic Flow Richard Yi, Harker School Mentored by Gabriele La Nave, University of Illinois, Urbana-Champaign January 23, 2016 Abstract Describing the behavior of traffic via

More information

An extended microscopic traffic flow model based on the spring-mass system theory

An extended microscopic traffic flow model based on the spring-mass system theory Modern Physics Letters B Vol. 31, No. 9 (2017) 1750090 (9 pages) c World Scientific Publishing Company DOI: 10.1142/S0217984917500907 An extended microscopic traffic flow model based on the spring-mass

More information

Minimizing Total Delay in Fixed-Time Controlled Traffic Networks

Minimizing Total Delay in Fixed-Time Controlled Traffic Networks Minimizing Total Delay in Fixed-Time Controlled Traffic Networks Ekkehard Köhler, Rolf H. Möhring, and Gregor Wünsch Technische Universität Berlin, Institut für Mathematik, MA 6-1, Straße des 17. Juni

More information

CURRICULUM VITAE (As of June 03, 2014) Xuefei Hu, Ph.D.

CURRICULUM VITAE (As of June 03, 2014) Xuefei Hu, Ph.D. CURRICULUM VITAE (As of June 03, 2014) Xuefei Hu, Ph.D. Postdoctoral Fellow Department of Environmental Health Rollins School of Public Health Emory University 1518 Clifton Rd., NE, Claudia N. Rollins

More information

Secondary 3H Unit = 1 = 7. Lesson 3.3 Worksheet. Simplify: Lesson 3.6 Worksheet

Secondary 3H Unit = 1 = 7. Lesson 3.3 Worksheet. Simplify: Lesson 3.6 Worksheet Secondary H Unit Lesson Worksheet Simplify: mm + 2 mm 2 4 mm+6 mm + 2 mm 2 mm 20 mm+4 5 2 9+20 2 0+25 4 +2 2 + 2 8 2 6 5. 2 yy 2 + yy 6. +2 + 5 2 2 2 0 Lesson 6 Worksheet List all asymptotes, holes and

More information

Traffic Flow Theory in the Era of Autonomous Vehicles

Traffic Flow Theory in the Era of Autonomous Vehicles Traffic Flow Theory in the Era of Autonomous Vehicles Michael Zhang University of California Davis A Presenta8on at The Symposium Celebra8ng 50 Years of Traffic Flow Theory, August 1113, 2014, Portland,

More information

G.6 Function Notation and Evaluating Functions

G.6 Function Notation and Evaluating Functions G.6 Function Notation and Evaluating Functions ff ff() A function is a correspondence that assigns a single value of the range to each value of the domain. Thus, a function can be seen as an input-output

More information

Variable Speed Approach for Congestion Alleviation on Boshporus Bridge Crossing

Variable Speed Approach for Congestion Alleviation on Boshporus Bridge Crossing Variable Speed Approach for Congestion Alleviation on Boshporus Bridge Crossing A. Akbas a,1, V. Topuz a,1, H.H. Celik b,2 and M. Ergun c,3 a University of Marmara, Vocational High School of Technical

More information

Lowercase letters on four lines a-z

Lowercase letters on four lines a-z Lowercase letters on four lines a-z 04 The Measured Mom, LLC My blog has hundreds of free resources for parents and teachers Click here for more free printables! Thank you for respecting my Terms of Use.

More information

Chemical Engineering 412

Chemical Engineering 412 Chemical Engineering 412 Introductory Nuclear Engineering Lecture 5 Nuclear Energetics 1 Spiritual Thought 2 I add my voice to these wise and inspired brethren and say to you that one of the most important

More information

Lectures 25 & 26: Consensus and vehicular formation problems

Lectures 25 & 26: Consensus and vehicular formation problems EE 8235: Lectures 25 & 26 Lectures 25 & 26: Consensus and vehicular formation problems Consensus Make subsystems (agents, nodes) reach agreement Distributed decision making Vehicular formations How does

More information

Urban Expressway Travel Time Prediction Method Based on Fuzzy Adaptive Kalman Filter

Urban Expressway Travel Time Prediction Method Based on Fuzzy Adaptive Kalman Filter Appl. Math. Inf. Sci. 7, No. 2L, 625-630 (2013) 625 Applied Mathematics & Information Sciences An International Journal http://dx.doi.org/10.12785/amis/072l36 Urban Expressway Travel Time Prediction Method

More information

Research Article Characteristic Analysis of Mixed Traffic Flow of Regular and Autonomous Vehicles Using Cellular Automata

Research Article Characteristic Analysis of Mixed Traffic Flow of Regular and Autonomous Vehicles Using Cellular Automata Hindawi Journal of Advanced Transportation Volume 217, Article ID 814274, 1 pages https://doi.org/1.1155/217/814274 Research Article Characteristic Analysis of Mixed Traffic Flow of Regular and Autonomous

More information

NATHAN HALE HIGH SCHOOL PARKING AND TRAFFIC ANALYSIS. Table of Contents

NATHAN HALE HIGH SCHOOL PARKING AND TRAFFIC ANALYSIS. Table of Contents Parking and Traffic Analysis Seattle, WA Prepared for: URS Corporation 1501 4th Avenue, Suite 1400 Seattle, WA 98101-1616 Prepared by: Mirai Transportation Planning & Engineering 11410 NE 122nd Way, Suite

More information

Answers to Problem Set Number 02 for MIT (Spring 2008)

Answers to Problem Set Number 02 for MIT (Spring 2008) Answers to Problem Set Number 02 for 18.311 MIT (Spring 2008) Rodolfo R. Rosales (MIT, Math. Dept., room 2-337, Cambridge, MA 02139). March 10, 2008. Course TA: Timothy Nguyen, MIT, Dept. of Mathematics,

More information

Estimating the vehicle accumulation: Data-fusion of loop-detector flow and floating car speed data

Estimating the vehicle accumulation: Data-fusion of loop-detector flow and floating car speed data Estimating the vehicle accumulation: Data-fusion of loop-detector flow and floating car speed data Paul B.C. van Erp (corresponding author) Victor L. Knoop Serge P. Hoogendoorn Department of Transport

More information

Patterns of soiling in the Old Library Trinity College Dublin. Allyson Smith, Robbie Goodhue, Susie Bioletti

Patterns of soiling in the Old Library Trinity College Dublin. Allyson Smith, Robbie Goodhue, Susie Bioletti Patterns of soiling in the Old Library Trinity College Dublin Allyson Smith, Robbie Goodhue, Susie Bioletti Trinity College aerial view Old Library E N S W Old Library main (south) elevation Gallery Fagel

More information

Empirical Relation between Stochastic Capacities and Capacities Obtained from the Speed-Flow Diagram

Empirical Relation between Stochastic Capacities and Capacities Obtained from the Speed-Flow Diagram Empirical Relation between Stochastic Capacities and Capacities Obtained from the Speed-Flow Diagram Dr.-Ing. Justin Geistefeldt Institute for Transportation and Traffic Engineering Ruhr-University Bochum

More information

Name Period Date. Record all givens, draw a picture, arrow all vectors, write the formula, substitute and solve. units

Name Period Date. Record all givens, draw a picture, arrow all vectors, write the formula, substitute and solve. units Example Problems 5.2 Friction E1. A monkey is dragging a box full of books from his office to his car. The combined weight of the box and books is 134 N. If the coefficient of static friction between the

More information

NURail Center Research Report. Prof. Joseph M. Sussman JR East Professor of Civil and Environmental Engineering and Engineering Systems

NURail Center Research Report. Prof. Joseph M. Sussman JR East Professor of Civil and Environmental Engineering and Engineering Systems NURail Center Research Report Prof. Joseph M. Sussman JR East Professor of Civil and Environmental Engineering and Engineering Systems September 11, 2013 1 MIT Regional Transportation Planning and High-Speed

More information

Application of Adaptive Sliding Mode Control with an Ellipsoidal Sliding Surface for Vehicle Distance Control

Application of Adaptive Sliding Mode Control with an Ellipsoidal Sliding Surface for Vehicle Distance Control SICE Journal of Control, Measurement, and System Integration, Vol. 10, No. 1, pp. 05 031, January 017 Application of Adaptive Sliding Mode Control with an Ellipsoidal Sliding Surface for Vehicle Distance

More information

Trajectory Planning Using High-Order Polynomials under Acceleration Constraint

Trajectory Planning Using High-Order Polynomials under Acceleration Constraint Journal of Optimization in Industrial Engineering (07) -6 Trajectory Planning Using High-Order Polynomials under Acceleration Constraint Hossein Barghi Jond a,*,vasif V. Nabiyev b, Rifat Benveniste c a

More information

ENGI 5708 Design of Civil Engineering Systems

ENGI 5708 Design of Civil Engineering Systems ENGI 5708 Design of Civil Engineering Systems Lecture 10: Sensitivity Analysis Shawn Kenny, Ph.D., P.Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of Newfoundland

More information