Skip to main content

Estimation of Discretised Motion of Pedestrians by the Decision-Making Model

  • Conference paper
  • First Online:
Traffic and Granular Flow '15

Abstract

The contribution gives a micro-structural insight into the pedestrian decision process during an egress situation. A method how to extract the decisions of pedestrians from the trajectories recorded during the experiments is introduced. The underlying Markov decision process is estimated using the finite mixture approximation. Furthermore, the results of this estimation can be used as an input to the optimisation of a Markov decision process for one ‘clever’ agent. This agent optimises his strategy of motion with respect to different reward functions, minimising the time spent in the room or minimising the amount of inhaled CO.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Without conflicting situations the function is just a product of the entries.

References

  1. Bukáček, M., Hrabák, P., Krbálek, M.: Experimental study of phase transition in pedestrian flow. In: Daamen, W., Duives, D.C., Hoogendoorn, S.P. (eds.) Pedestrian and Evacuation Dynamics 2014, Transportation Research Procedia, vol. 2, pp. 105–113. Elsevier Science B.V. (2014)

    Google Scholar 

  2. Hrabák, P., Ticháček, O.: Prediction of pedestrian decisions during the egress situation: application of recursive estimation of high-order Markov chains using the approximation by finite mixtures. Technical report 2346, ÚTIA AV ČR, POBox 18, 182 08 Prague 8, Czech Republic (2015)

    Google Scholar 

  3. Kárný, M.: Recursive estimation of high-order markov chains: approximation by finite mixtures. Inf. Sci. 326, 188–201 (2016)

    Article  Google Scholar 

  4. Kirchner, A., Schadschneider, A.: Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics. Phys. A: Stat. Mech. Appl. 312(12), 260–276 (2002)

    Article  MATH  Google Scholar 

  5. Puterman, M.L.: Markov Decision Processes: Discrete Stochastic Dynamic Programming, 1st edn. Wiley, New York, NY, USA (1994)

    Book  MATH  Google Scholar 

  6. Schadschneider, A., Chowdhury, D., Nishinari, K.: Stochastic Transport in Complex Systems: From Molecules to Vehicles. Elsevier Science B.V., Amsterdam (2010)

    MATH  Google Scholar 

  7. Seitz, M.J., Köster, G.: Natural discretization of pedestrian movement in continuous space. Phys. Rev. E 86, 046108 (2012)

    Google Scholar 

  8. Spaan, M., Veiga, T., Lima, P.: Decision-theoretic planning under uncertainty with information rewards for active cooperative perception. Auton. Agents Multi-Agent Syst. 29(6), 1157–1185 (2015)

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Czech Science Foundation under the grant GA13-13502S. We want to thank our colleague Marek Bukáček from Czech Technical University for the provided experimental data.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pavel Hrabák .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Hrabák, P., Ticháček, O., Sečkárová, V. (2016). Estimation of Discretised Motion of Pedestrians by the Decision-Making Model. In: Knoop, V., Daamen, W. (eds) Traffic and Granular Flow '15. Springer, Cham. https://doi.org/10.1007/978-3-319-33482-0_40

Download citation

Publish with us

Policies and ethics