Skip to main content

Probabilistic Assessment of Vessel Collision Risk: An Evidential Reasoning and Artificial Potential Field-Based Method

  • Chapter
  • First Online:
Multi-Criteria Decision Making in Maritime Studies and Logistics

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 260))

Abstract

This chapter proposes a novel method to estimate the collision probabilities of monitoring targets for coastal radar surveillance. Initially, the probability of a monitoring target being a real moving vessel is estimated using the records of manual operations and the Evidential Reasoning (ER) rule. Subsequently, the bridges, piers and other encountering vessels in a waterway are characterized as collision potential fields using an Artificial Potential Field (APF) model, and the corresponding coefficients can be trained in terms of the historical vessel distributions. As a result, the positional collision potential of any monitoring vessel can be obtained through overlapping all the collision potential fields together. The probabilities of authenticity and the collision potential are further formulated as two pieces of evidence on which the Dempster’s rule of combination is used to reason the collision probability of a monitoring target. The vessels associated with high collision probabilities can be highlighted for supervisors’ attention, as they potentially pose high risks to safety. A preliminary field test was conducted to validate the proposed method.

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
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

References

  • Dellacherie C, Meyer PA (2011) Probabilities and potential, c: potential theory for discrete and continuous semigroups. Elsevier, North Holland

    Google Scholar 

  • Dong Y, Frangopol DM (2015) Probabilistic ship collision risk and sustainability assessment considering risk attitudes. Struct Saf 53:75–84

    Article  Google Scholar 

  • Eleye-Datubo AG, Wall A, Wang J (2008) Marine and offshore safety assessment by incorporative risk modelling in a fuzzy-Bayesian network of an induced mass assignment paradigm. Risk Anal 28(1):95–112

    Article  Google Scholar 

  • Fujii Y, Oshima R, Yamanouchi H, Mizuki N (1974) Some factors affecting the frequency of accidents in marine traffic: I-the diameter of evasion for crossing encounters, II-the probability of stranding, III-the effect of darkness of the probability of collision and stranding. J Navig 27(2):239–247

    Article  Google Scholar 

  • Guerriero M, Willett P, Coraluppi S, Carthel C (2008) Radar/AIS data fusion and SAR tasking for maritime surveillance. In: Proceedings of IEEE 11th international conference on information fusion. Cologne, pp 1–5

    Google Scholar 

  • Hänninen M, Kujala P (2012) Influences of variables on ship collision probability in a Bayesian belief network model. Reliab Eng Syst Saf 102:27–40

    Article  Google Scholar 

  • IEC 62288 (2014) Maritime navigation and radio communication equipment and systems – Presentation of navigation-related information on shipborne navigational displays – General requirements, methods of testing and required test results

    Google Scholar 

  • Khatib O (1986) Real-time obstacle avoidance for manipulators and mobile robots. Int J Robot Res 5(1):90–98

    Article  Google Scholar 

  • Kim JO, Khosla PK (1992) Real-time obstacle avoidance using harmonic potential functions. IEEE Trans Robot Autom 8(3):338–349

    Article  Google Scholar 

  • Kujala P, Hänninen M, Arola T, Ylitalo J (2009) Analysis of the marine traffic safety in the Gulf of Finland. Reliab Eng Syst Saf 94(8):1349–1357

    Article  Google Scholar 

  • Li HB, Shen YY, Liu YT (2007) Estimation of detection threshold in multiple ship target situations with HF ground wave radar. J Syst Eng Electron 18(4):739–744

    Article  Google Scholar 

  • Li B, Pang FW (2013) An approach of vessel collision risk assessment based on the D–S evidence theory. Ocean Eng 74:16–21

    Article  Google Scholar 

  • Liu GP, Yang JB, Whidborne JF (2003) Multiobjective optimisation and control. Res Stud Press, Baldock

    Google Scholar 

  • Ma F, Wu Q, Yan X, Chu X, Zhang D (2015) Classification of automatic radar plotting aid targets based on improved Fuzzy C-Means. Transp Res Part C: Emerg Technol 51:180–195

    Article  Google Scholar 

  • Ma F, Chen YW, Yan XP, Chu XM, Wang J (2016a) A novel marine radar targets extraction approach based on sequential images and bayesian network. Ocean Eng 120:64–77

    Article  Google Scholar 

  • Ma F, Chen YW, Huang ZC, Yan XP, Wang J (2016b) A novel approach of collision assessment for coastal radar surveillance. Reliab Eng Syst Saf 155:179–195

    Article  Google Scholar 

  • Montiel O, Orozco-Rosas U, Sepúlveda R (2015) Path planning for mobile robots using bacterial potential field for avoiding static and dynamic obstacles. Expert Syst Appl 42(12):5177–5191

    Article  Google Scholar 

  • Montewka J, Goerlandt F, Kujala P (2012) Determination of collision criteria and causation factors appropriate to a model for estimating the probability of maritime accidents. Ocean Eng 40:50–61

    Article  Google Scholar 

  • Montewka J, Hinz T, Kujala P, Matusiak J (2010) Probability modelling of vessel collisions. Reliab Eng Syst Saf 95(5):573–589

    Article  Google Scholar 

  • Park MG, Jeon JH, Lee MC (2001) Obstacle avoidance for mobile robots using artificial potential field approach with simulated annealing. Proc IEEE Int Sym Ind Electron 3:1530–1535

    Google Scholar 

  • Pêtrès C, Romero-Ramirez MA, Plumet F (2012) A potential field approach for reactive navigation of autonomous sailboats. Robot Auton Syst 60(12):1520–1527

    Article  Google Scholar 

  • Pedersen PT (2010) Review and application of ship collision and grounding analysis procedures. Mar Struct 23(3):241–262

    Article  Google Scholar 

  • Qu X, Meng Q, Suyi L (2011) Ship collision risk assessment for the Singapore Strait. Accid Anal Prev 43(6):2030–2036

    Article  Google Scholar 

  • Statheros T, Howells G, Maier KM (2008) Autonomous ship collision avoidance navigation concepts, technologies and techniques. J Navig 61(1):129–142

    Article  Google Scholar 

  • Volpe R, Khosla P (1990) Manipulator control with superquadric artificial potential functions: Theory and experiments. IEEE Trans Syst Man Cybern 20(6):1423–1436

    Article  Google Scholar 

  • Wang J (2001) The current status and future aspects in formal ship safety assessment. Saf Sci 38(1):19–30

    Article  Google Scholar 

  • Yang JB, Xu DL (2014) A study on generalising Bayesian inference to evidential reasoning. In: International conference on belief functions. Springer, Cham, pp 180–189

    Google Scholar 

  • Zhang D, Yan XP, Yang ZL, Wall A, Wang J (2013) Incorporation of formal safety assessment and Bayesian network in navigational risk estimation of the Yangtze River. Reliab Eng Syst Saf 118:93–105

    Article  Google Scholar 

  • Zhang Q, Chen D, Chen T (2012) An obstacle avoidance method of soccer robot based on evolutionary artificial potential field. Energy Procedia 16:1792–1798

    Article  Google Scholar 

  • Zhou D, Shen X, Yang W (2013) Radar target recognition based on fuzzy optimal transformation using high-resolution range profile. Pattern Recogn Lett 34(3):256–264

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu-Wang Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Cite this chapter

Ma, F., Chen, YW. (2018). Probabilistic Assessment of Vessel Collision Risk: An Evidential Reasoning and Artificial Potential Field-Based Method. In: Lee, PW., Yang, Z. (eds) Multi-Criteria Decision Making in Maritime Studies and Logistics. International Series in Operations Research & Management Science, vol 260. Springer, Cham. https://doi.org/10.1007/978-3-319-62338-2_6

Download citation

Publish with us

Policies and ethics