FCCD: Fractional Calculus and Crowd Dynamics

 
SPECIAL INTEREST GROUP (SIG): FCCD (Fractional Calculus and Crowd Dynamics)
FCCD SIG MEETING MINUTES

Convenor: Dr. KeCai Cao
Memmbers: Dan Stuart; Caibin Zeng; KeCai Cao; YangQuan Chen

Center for Self-Organizing and Intelligent Systems
Utah State University, LOGAN, UTAH, USA

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Some recent papers:

Daniel Stuart. Microscopic modeling of crowds involving individuals with Physical disability: exploring social force interaction. Ph.D Dissertation, Dept. of Electrical and Computer Engineering, Utah State University. http://www.ece.usu.edu/grad/reports_theses_disseratations/2015/Stuart_Daniel_S/dissertation.pdf

  • Kecai Cao, YangQuan Chen and Dan Stuart. “A Fractional Micro-Macro Model for Crowds of Pedestrians based on Fractional Mean Field Games”. IEEE/CAA Journal of Automatica Sinica. Special Issue on Fractional Order Systems and Control. Vol. 3, no. 3. (accepted to appear) (Jan. 2016)
  • Chen. “Analysis of Walking Speeds Involving Individuals with Disabilities in Different Indoor Walking Environments.” J. Urban Plann. Dev., Volume 142, Issue 1 (March 2016) http://www.doi.org/10.1061/(ASCE)UP.1943-5444.0000288, 04015010.
  • Ke-Cai Cao; YangQuan Chen; Dan Stuart. A New Fractional Order Dynamic Model for Human Crowd Stampede System. Proc. ASME. 57199; Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A037.August 02, 2015; DETC2015-47007; http://dx.doi.org/10.1115/DETC2015-47007
  • Daniel Stuart, Ke-Cai Cao, Caibin Zeng, YangQuan Chen, Keith Christensen, Anthony Chen. “A Framework for Modeling and Managing Mass Pedestrian Evacuations Involving Individuals with Disabilities: Networked Segways as Mobile Sensors & Actuators.” DETC2013-12724. ASME/IEEE MESA 2013, ASME IDETC/CIE, August 4-7, 2013. Portland, OR, USA.
  • Daniel Stuart; Mohammad Sadra Sharifi; Keith Christensen; Anthony Chen; Yong Seog Kim; YangQuan Chen. Modeling Different Groups of Pedestrians With Physical Disability, Using the Social Force Model and Fractional Order Potential Fields. Proc. ASME. 57199; Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A040.August 02, 2015; DETC2015-47042; http://dx.doi.org/10.1115/DETC2015-47042
  • Daniel Stuart, YangQuan Chen, Keith Christensen, Anthony Chen and Yong Kim. “Utilizing Augmented Reality Technology for Crowd Pedestrian Analysis Involving Individuals with Disabilities.” DETC2013-12793 ASME/IEEE MESA 2013, ASME IDETC/CIE, August 4-7, 2013. Portland, OR, USA.
  • Ke-Cai Cao, Caibin Zeng, Dan Stuart, YangQuan Chen. "Fractional Order Dynamic Modeling of Crowd Pedestrians." (#257) Proceedings of 2012 Fractional Derivative and Applications (FDA2012), Nanjing, China, May 15-17, 2012.

08/02/2015. FDTA2015 in Boston, MA, USA. ASME/IEEE MESA2015, part of ASME IDETC/CIE

12/19/2014. FCDay@SCUT China.

  • Kecai Cao: Recent applications of fractional calculus in crowd dynamics
  • YangQuan Chen: Complexity as Prisma Spectrum of fractional order dynamics in nature and man-made systems: A new perspective-from power law to Mittag-Leffer

12/10/2014. Well, time flies as we read more to satisfy our curiosity. We decided to actively update this page after 2.5 years. Kecai Cao is now a professor in Nanjing University of Information Science and Technology. Dan Stuart is finishing his Ph.D. thesis at Utah State University under a VPR Fellowship. YangQuan Chen moved to UC Merced in August 2012. We spent some good old time at CSOIS, USU.

 

 

06/15/2012

      • Welcom back of Caibin from FDA 2012 and he has obtained a lot from attending this proceeding;
      • Caibin has introduced us with the "Sino-German Bilateral Symposium on Fractional Dynamics: Recent Advances" and we discussed some interesting topics that can be references for research on crowd dynamics such as: CTRW, Diffusion Process;
      • We discuss the work of Eli Barkai, R Metzler and J Klafter and take a look of their photoes to become familar with them;
      • Files of Sino-German Bilateral Symposium has been uploaded by Caibin into the dropbox of crwod dynamics folder;
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06/08/2012

      • Meeting of this week has been merged with the meeting of next week;

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06/01/2012

      • We don't have meeting due to preparing the E-state in June;


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05/25/2012

      • Dan has got two cool lenses and  the camera is on the way;
      • Calibration and initial experiment can be tried in several days;
      • Some disadvantages about the paper of last week is considered again;
      • We have reconsidered  and exchanged some ideas about fractional order calculus, mean field games and IwDs. We have some brainstorms about these different topics;

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05/18/2012

      • We have discussed the main framework about the newly accepted paper:
      • Wang, B. C. & Zhang, J. F. MEAN FIELD GAMES FOR LARGE-POPULATION MULTI-AGENT SYSTEMS WITH MARKOV JUMP PARAMETERS,SIAM Journal on Control and Optimization, 2012  

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05/11/2012

      • we have moved this Friday's FCCD meeting to Monday of this week and finished the slides for FDA12;

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05/04/2012

      • Poster for our FDA12 paper has been discussed in our FCCD meeting;
      • Review of our research directions and potential topics;

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04/27/2012

      • We don't have meeting due to attending the lecture given by Xuesong Zhou about: Freeway Traffic State Estimation and Uncertainty Quantification Using Heterogeneous Data Sources;           

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04/20/2012

      • We review the slides for the first paper of our group that acceppted by FDA 2012;
      • We review again Caibin's slides for Sino-German Symposium in that will be held in Nanjing;
      • We decide to aubmit a paper to ISRCS12 and the title is A Framework for Modeling and Managing Mass Pedestrian Evacuations Involving Individuals with Disabilities: Networked Segways as Mobile Sensors & Actuators;
      • Dr. Chen share Zhuang Jiao's book and Sheng Hu's book with us and we are much more confident about using Fractional Calsulus in the Crowd Pedestrain Dynamics.

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04/13/2012

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      • Dan has shown us about the simulation interface of BUMMPPEE;
      • There are several work to consider in the future such as be familar with the history of BUMMPPEE, considering add in the map, possibility of combing Matlab and BUMMPPEE, visualization of BUMMPPEE;
      • Caibin's slides for FDA has been sharped based on Dr. Chen's suggestion;
      • Dr. Chen ask us to pay attention to this issue  http://rsta.royalsocietypublishing.org/content/368/1928.toc  
      • and to see which one has a connection to FCCD theme we care most for now.

   
 


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04/06/2012

    • Dr. Chen-----  
      • How to add actuators into the BUMMPPEE model?
      • Rondomness such as the heterogeneity, variability problem;
      • Introduction of  Not "Rotation-invariant" in 2D case;
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    • Dan---
      • The simulation part of BUMMPPEE does not work on our computers;
      • Introduction of Randomness adopted in BUMMPPEE software;
      • Introduction of compilers for BUMMPPEE;
      • Introduction the basic roadmap of BUMMPPEE;   
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    • CaiBin Zeng---
      • Introduction of two packages used R Language;
      • Introduction on fractional Brownian Motion in 2D;
      • Discussion of (time-varying) Hurst parameters of FBM and MFBM;
      • Preparing the slides for FDA12 for discussion on next meeting(15 pages);
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    • KeCai Cao---
      • Familar with Gradient,Divergence,Laplacian Operator,Legendre transformation;
      • Needing further understand of Ito Formula;
      • Existence and uniqueness of the solution on MFG problems;
      • Codes for MFG simulation;
      • Preparing the slides for FDA12 for discussion on next meeting(15 pages);

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03/30/2012

    • Dr. Chen-----  
      • We should in a new level at the end of August;
      • How to improve FDA paper to Journal quality at the End of Summer?
      • Randomness Metrology
      • Internal Model of Principal;
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    • CaiBin Zeng---Update of R language -report on 2012/04/06
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    • Dan---BUMMPPEE
      •  It works but simulations crack...Needing rebuild to work;
      • The BUMMPEE model just use static force field;
      •  Start to write for Dummies;
      • How to add control to BUMMPEE?
      • How to add Randomness to BUMMPEE? Is it costive?
      • Model Calibration,stairs,obstacles problems to BUMMPEE;
      •  Dynamic Data-Driven Application System(DDDAS)-----BUMMPPEE for DDDAS
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    • KeCai Cao
      • Keep focused on the Mean Field Games Therory and application to Crowd Dynamics;
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    • Discussed Papers of This Week:
      •   William Bialek, Andrea Cavagna, I. G. T. M. E. S. M. V. & Walczak, A. M.Statistical mechanics for natural flocks of birds, PNAS Early Edition, 2012    

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03/23/2012


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03/16/2012

      • We don't have meeting today due to the holiday of Spring Break;

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03/09/2012

      • We don't have meeting today for preparing the CPS proposal;

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03/02/2012

      • We don't have meeting today for preparing the CPS proposal;

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02/24/2012

      • We have discussed the Mean Field Game theory in the modeling of crowd dynamics on FCCD meeting of this week. Hope we can apply the MFG in the modeling of crowd pedestrians in the CPS proposal;   
      • On next FCCD meeting: Hope we can find some better methods for modeling the IwDs; Formulation of the new framwork with fractional decision making process for CPS proposal so that we can go through it;
      • Professor  Igor Podlubny has disscussed with us about using distributed order fractional calculus in modeling of crowd dynamics;

      • Discussed Papers of This Week:
      • Aimé Lachapelle, M.-T. W.On a mean field game approach modeling congestion and aversion in pedestrian crowds,Transportation Research Part B, 2011    

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02/17/2012

      • Dr. Chen feels that there is a connection to fractional dynamics http://rsta.royalsocietypublishing.org/content/369/1952.toc ;   
      • Today Caibin  have helped us understand the Fractional Calculus much better from:
        •  Diffusion processs and its derivation from random walk under finite variance;
        • Distributed order that allows for better fitting and shaping of the behavior through each part of that diffusion process;
        • Fractional Fick Law that maybe useful in fractional description of density in relation to flux;        

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02/10/2012---with the help of Dan

      • We had a discussion presenting crowd dynamics from a microscopic behavior perspective, and how we can potentially use fractional calculus to model the differences, while eliminating computational complexities typically found in the agent based approach.    
      • One concept discussed was the use of distributed ordered systems, with their properties of changing parameters against spatial change, see examples discussed in the paper: Variable Order and Distributed Order Fractional Operators;
      • We also cite some discussions involving fractional diffusion through porous mediums.

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02/03/2012 

      • This week's topic is discussing the proposal  for CPS project that called by Dr. Chen;

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01/27/2012

      • This week's meeting has been delayed to next Friday due to the visit of Professror Igor Podlubny to CIOIS;     

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01/20/2012

      • Please see the following lectures based on Dr. Chen's  recommendation
      •  I have uploaded  the following paper to the dropbox for furhther study on MFG:
        • Christian, D. Modeling crowd dynamics by the mean-field limit approach,Mathematical and Computer Modelling, 2010, 52, 1506-1520. 
        • Prigogine, I. & Herman, R. Kinetic Theory of Vehicular Traffic, American Elsevier Publishing Company,Inc.New York, 1971. 

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01/13/2012  (First Meeting of FCCD)

      • Dr.Chen has opened up our eyes on the research of crowd pedestrain and we should sensitive to the following words in following study: 
          • Long Range;
          •  Anomolous;
          •  Power Law;
          •  Scale free;
          •  Scale invariant;
          •  Heavy tail;
          •  Self Similarty;
          •  Heriedicity;
          •  CO(Constant Order), VO(Variable Order), DO(Distributed Order) calculus;
          • Fokker-Planck equation, Boltzmann equarion, Vlasov equations.
      • Book "Stochastic Ordinary and Stochastic Partial Differential Equations Transition from Microscopic to Macroscopic Equations"based on Dr. Chen's recommendation has been puted into the dropbox folder; 
      • We will discuss the fractional kinetic theory and mesoscopic model of crowd dynamics next week.