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2022 Journal Impact Factor - 0.6
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ISSN 2083-6473
ISSN 2083-6481 (electronic version)




Associate Editor
Prof. Tomasz Neumann

Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
Analysis of Methods of Determining the Safe Ship Trajectory
1 Gdynia Maritime University, Gdynia, Poland
ABSTRACT: The paper describes six methods of optimal and game theory and artificial neural network for synthesis of safe control in collision situations at sea. The application of optimal and game control algorithms to determine the own ship safe trajectory during the passing of other encountered ships in good and restricted visibility at sea is presented. The comparison of the safe ship control in collision situation: multi-step matrix non-cooperative and cooperative games, multi-stage positional non-cooperative and cooperative games have been introduced. The considerations have been illustrated with examples of computer simulation of the algorithms to determine safe of own ship trajectories in a navigational situation during passing of eight met ships.
Bist, D.S. 2000. Safety and security at sea. Oxford-New Delhi: Butter Heinemann.
Bole, A., Dineley, B. & Wall, A. 2006. Radar and ARPA manual. Amsterdam-Tokyo: Elsevier.
Clarke, D. 2003. The foundations of steering and manoeuvering, Proc. of the IFAC Conference on Manoeuvering and Control Marine Crafts, Girona: 10-25.
Cockcroft, A.N. & Lameijer, J.N.F. 2006. The collision avoidance rules. Amsterdam-Tokyo: Elsevier.
Engwerda, J.C. 2005. LQ dynamic optimization and differential games. West Sussex: John Wiley & Sons.
Fletcher, R. 1987. Practical methods of optimization. New York: John Wiley and Sons.
Fossen, T.I. 2011. Marine craft hydrodynamics and motion control. Trondheim: Wiley.
Gluver, H. & Olsen, D. 1998. Ship collision analysis. Rotterdam-Brookfield: A.A. Balkema.
Isaacs, R. 1965. Differential games. New York: John Wiley & Sons.
Kouemou, G. 2009. Radar technology. Chapter 4 by Lisowski J.: Sensitivity of safe game ship control on base information from ARPA radar, Croatia: In-tech, p. 61-86.
Lazarowska, A. 2015. Ship's trajectory planning for collision avoidance at sea based on ant colony optimization. Journal of Navigation 2(68): 291-307.
Luus, R. (2000). Iterative dynamic programming. Boca Raton: CRC Press.
Mesterton-Gibbons, M. 2001. An introduction to game theoretic modeling. Providence: American Mathematical Society.
Millington, I. & Funge, J. 2009. Artificial intelligence for games. Amsterdam-Tokyo: Elsevier.
Modarres, M. 2006. Risk analysis in engineering. Boca Raton: Taylor & Francis Group.
Nisan, N., Roughgarden, T., Tardos, E. & Vazirani, V.V. 2007. Algorithmic game theory. New York: Cambridge University Press.
Osborne, M.J. 2004. An introduction to game theory. New York: Oxford University Press.
Pantoja, J.F.A. 1988. Differential dynamic programming and Newton’s method. International Journal of Control 5(47):1539-1553.
Perez, T. 2005. Ship motion control. London: Springer.
Straffin, P.D. 2001. Game theory and strategy. Warszawa: Scholar (in polish).
Szłapczyński, 2014. Evolutionary sets of safe ship trajectories with speed reduction manoeuvres within traffic separation schemes. Polish Maritime Research 1(81): 20-27.
Tomera, M. 2014. Dynamic positioning system for a ship on harbor manoeuvring with different observers, experimental results. Polish Maritime Research 3(83): 13-24.
Wells, D. 2013. Games and mathematics. Cambridge: Cambridge University Press.
Citation note:
Lisowski J.: Analysis of Methods of Determining the Safe Ship Trajectory. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 10, No. 2, doi:10.12716/1001.10.02.05, pp. 223-228, 2016
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