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Fundamental Diagram for Mixed Traffic Flow: Stochastic and Dynamic Properties
Fundamental Diagram for Mixed Traffic Flow: Stochastic and Dynamic Properties
Fundamental Diagram for Mixed Traffic Flow: Stochastic and Dynamic Properties

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자료유형  
 학위논문 서양
최종처리일시  
20260202104710
ISBN  
9798286456482
DDC  
385
저자명  
Jiang, Jiwan.
서명/저자  
Fundamental Diagram for Mixed Traffic Flow: Stochastic and Dynamic Properties
발행사항  
[Sl] : The University of Wisconsin - Madison, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
132 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
주기사항  
Advisor: Ahn, Soyoung Sue.
학위논문주기  
Thesis (Ph.D.)--The University of Wisconsin - Madison, 2025.
초록/해제  
요약With the increasing integration of automated vehicles (AVs) into existing traffic systems predominantly composed of human-driven vehicles (HDVs), understanding mixed traffic dynamics becomes critically important for efficient and stable transportation management. This dissertation aims to elucidate the stochastic and dynamic properties of traffic flow, mixed with HDVs and AVs. To achieve this, the study: (1) investigates the stochastic car-following features inherent to both HDVs and AVs; (2) analytically derives a stochastic dynamic fundamental diagram (FD) for AV traffic based on a well-known car following control model; and (3) extends the above FD framework to mixed traffic by incorporating the stochastic and nonlinear properties characteristic of HDVs.Car following (CF) models are crucial for understanding traffic dynamics; however, human drivers' CF behaviors are unpredictable and nonlinear. Identifying the best CF model remains challenging despite extensive research, compounded by the introduction of automated vehicles with proprietary controllers. To address this, the present study introduces a stochastic learning framework based on Approximate Bayesian Computation (ABC), which systematically integrates multiple CF models into a hybrid representation. This approach evaluates and combines models according to their likelihood of accurately describing observed driving behaviors, thus enhancing interpretability and predictive accuracy. Evaluations conducted using two distinct datasets demonstrate that this hybrid model framework significantly improves trajectory reproduction for both HDVs and AVs compared to traditional single-model approaches.The fundamental diagram (FD) of traffic flow describes intrinsic relationships among flow, density, and speed, serving as a foundational tool for traffic analysis. Advancing beyond static FD representations, this study analytically formulates a dynamic FD by deriving it directly from vehicle-level CF (control) laws, thus capturing complex dynamic phenomena such as traffic hysteresis. This analytical derivation leverages a frequency-domain representation of vehicle kinematics coupled with continuum approximations of macroscopic traffic variables. The proposed formulation is sufficiently general to accommodate any analytically describable CF law applicable to either HDVs or AVs. Numerical experiments shed light on how the choice of density-flow measurement regions and CF parameters influence dynamic FD properties within AV platoons.Building upon these developments, this research further extends the FD framework to mixed traffic environments, explicitly incorporating the stochastic and nonlinear CF characteristics of HDVs. Utilizing describing function analysis (DFA), approximate linear transfer functions are derived for nonlinear HDV CF models. Subsequently, a sequence-based stochastic dynamic FD is established for mixed platoons, enabling quantification of density and flow under varying vehicle sequencing configurations and AV penetration rates. Given the complexity of the stochastic interactions and the absence of closed-form solutions, Monte Carlo simulations are employed to characterize the resulting FD properties comprehensively. Findings from these simulations indicate that HDVs introduce greater randomness and variability, whereas AVs produce more structured, though still oscillatory, dynamic patterns. This underscores the necessity of carefully managing AV integration strategies to mitigate unintended amplification of traffic oscillations.In conclusion, this dissertation establishes a systematic and integrated framework for modeling and understanding mixed traffic dynamics, effectively capturing both the stochasticity inherent in human driver behaviors and the nonlinear dynamics introduced by diverse AV control strategies. The outcomes of this research provide critical insights and methodological contributions that support the development of advanced traffic modeling tools and simulation approaches. Ultimately, these findings contribute to a comprehensive understanding of traffic dynamics in mixed-vehicle contexts, informing future traffic management strategies and supporting the broader transition towards increasingly automated transportation systems.
일반주제명  
Transportation
일반주제명  
Engineering
일반주제명  
Automotive engineering
일반주제명  
Environmental engineering
키워드  
Automated vehicle
키워드  
Car following
키워드  
Fundamental diagram
키워드  
Human driven vehicle
키워드  
Mixed traffic
키워드  
Traffic hysteresis
기타저자  
The University of Wisconsin - Madison Civil & Environmental Engr
기본자료저록  
Dissertations Abstracts International. 87-01B.
전자적 위치 및 접속  
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■1001  ▼aJiang,  Jiwan.
■24510▼aFundamental  Diagram  for  Mixed  Traffic  Flow:  Stochastic  and  Dynamic  Properties
■260    ▼a[Sl]▼bThe  University  of  Wisconsin  -  Madison▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a132  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-01,  Section:  B.
■500    ▼aAdvisor:  Ahn,  Soyoung  Sue.
■5021  ▼aThesis  (Ph.D.)--The  University  of  Wisconsin  -  Madison,  2025.
■520    ▼aWith  the  increasing  integration  of  automated  vehicles  (AVs)  into  existing  traffic  systems  predominantly  composed  of  human-driven  vehicles  (HDVs),  understanding  mixed  traffic  dynamics  becomes  critically  important  for  efficient  and  stable  transportation  management.  This  dissertation  aims  to  elucidate  the  stochastic  and  dynamic  properties  of  traffic  flow,  mixed  with  HDVs  and  AVs.  To  achieve  this,  the  study:  (1)  investigates  the  stochastic  car-following  features  inherent  to  both  HDVs  and  AVs;  (2)  analytically  derives  a  stochastic  dynamic  fundamental  diagram  (FD)  for  AV  traffic  based  on  a  well-known  car  following  control  model;  and  (3)  extends  the  above  FD  framework  to  mixed  traffic  by  incorporating  the  stochastic  and  nonlinear  properties  characteristic  of  HDVs.Car  following  (CF)  models  are  crucial  for  understanding  traffic  dynamics;  however,  human  drivers'  CF  behaviors  are  unpredictable  and  nonlinear.  Identifying  the  best  CF  model  remains  challenging  despite  extensive  research,  compounded  by  the  introduction  of  automated  vehicles  with  proprietary  controllers.  To  address  this,  the  present  study  introduces  a  stochastic  learning  framework  based  on  Approximate  Bayesian  Computation  (ABC),  which  systematically  integrates  multiple  CF  models  into  a  hybrid  representation.  This  approach  evaluates  and  combines  models  according  to  their  likelihood  of  accurately  describing  observed  driving  behaviors,  thus  enhancing  interpretability  and  predictive  accuracy.  Evaluations  conducted  using  two  distinct  datasets  demonstrate  that  this  hybrid  model  framework  significantly  improves  trajectory  reproduction  for  both  HDVs  and  AVs  compared  to  traditional  single-model  approaches.The  fundamental  diagram  (FD)  of  traffic  flow  describes  intrinsic  relationships  among  flow,  density,  and  speed,  serving  as  a  foundational  tool  for  traffic  analysis.  Advancing  beyond  static  FD  representations,  this  study  analytically  formulates  a  dynamic  FD  by  deriving  it  directly  from  vehicle-level  CF  (control)  laws,  thus  capturing  complex  dynamic  phenomena  such  as  traffic  hysteresis.  This  analytical  derivation  leverages  a  frequency-domain  representation  of  vehicle  kinematics  coupled  with  continuum  approximations  of  macroscopic  traffic  variables.  The  proposed  formulation  is  sufficiently  general  to  accommodate  any  analytically  describable  CF  law  applicable  to  either  HDVs  or  AVs.  Numerical  experiments  shed  light  on  how  the  choice  of  density-flow  measurement  regions  and  CF  parameters  influence  dynamic  FD  properties  within  AV  platoons.Building  upon  these  developments,  this  research  further  extends  the  FD  framework  to  mixed  traffic  environments,  explicitly  incorporating  the  stochastic  and  nonlinear  CF  characteristics  of  HDVs.  Utilizing  describing  function  analysis  (DFA),  approximate  linear  transfer  functions  are  derived  for  nonlinear  HDV  CF  models.  Subsequently,  a  sequence-based  stochastic  dynamic  FD  is  established  for  mixed  platoons,  enabling  quantification  of  density  and  flow  under  varying  vehicle  sequencing  configurations  and  AV  penetration  rates.  Given  the  complexity  of  the  stochastic  interactions  and  the  absence  of  closed-form  solutions,  Monte  Carlo  simulations  are  employed  to  characterize  the  resulting  FD  properties  comprehensively.  Findings  from  these  simulations  indicate  that  HDVs  introduce  greater  randomness  and  variability,  whereas  AVs  produce  more  structured,  though  still  oscillatory,  dynamic  patterns.  This  underscores  the  necessity  of  carefully  managing  AV  integration  strategies  to  mitigate  unintended  amplification  of  traffic  oscillations.In  conclusion,  this  dissertation  establishes  a  systematic  and  integrated  framework  for  modeling  and  understanding  mixed  traffic  dynamics,  effectively  capturing  both  the  stochasticity  inherent  in  human  driver  behaviors  and  the  nonlinear  dynamics  introduced  by  diverse  AV  control  strategies.  The  outcomes  of  this  research  provide  critical  insights  and  methodological  contributions  that  support  the  development  of  advanced  traffic  modeling  tools  and  simulation  approaches.  Ultimately,  these  findings  contribute  to  a  comprehensive  understanding  of  traffic  dynamics  in  mixed-vehicle  contexts,  informing  future  traffic  management  strategies  and  supporting  the  broader  transition  towards  increasingly  automated  transportation  systems.
■590    ▼aSchool  code:  0262.
■650  4▼aTransportation
■650  4▼aEngineering
■650  4▼aAutomotive  engineering
■650  4▼aEnvironmental  engineering
■653    ▼aAutomated  vehicle
■653    ▼aCar  following
■653    ▼aFundamental  diagram
■653    ▼aHuman  driven  vehicle
■653    ▼aMixed  traffic
■653    ▼aTraffic  hysteresis
■690    ▼a0709
■690    ▼a0775
■690    ▼a0537
■690    ▼a0540
■71020▼aThe  University  of  Wisconsin  -  Madison▼bCivil  &  Environmental  Engr.
■7730  ▼tDissertations  Abstracts  International▼g87-01B.
■790    ▼a0262
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358499▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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