Multi-step matrix game of safe ship control at various safe passing distances

• Autorzy: Lisowski J.

Identyfikatory

DOI

10.17402/131

• Języki publikacji: EN

Abstrakty

EN

The paper introduces the process of safe ship control in collision situations using a differential game model with m participants. The basic model of process includes non-linear state equations and non-linear, time-varying constraints of the state variables as well as the quality game control index in the forms of game integral payment and final payment. As an approximated model of the manoeuvring process, a model of a multi-step matrix game in the form of a dual linear programming problem has been adopted here. The Game Control (gc) computer program has been designed in Matlab/Simulink software in order to determine the own ship safe trajectory. The considerations have been illustrated with computer simulation examples using the gc program for determining safe own ship trajectory in real navigation situations when passing commonly-encountered ships.

Słowa kluczowe

EN

marine transport; safe navigation; optimization; game theory; computer simulation; decision support systems

• Wydawca: Wydawnictwo Naukowe Akademii Morskiej w Szczecinie
• Czasopismo: Zeszyty Naukowe Akademii Morskiej w Szczecinie
• Rocznik: 2016
• Tom: nr 46 (118)
• Strony: 141--146
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Lisowski J.

• Gdynia Maritime University 83 Morska St., 81-225 Gdynia, Poland

Bibliografia

• 1. Basar, T. & Olsder, G.J. (2013) Dynamic non-cooperative game theory. Philadelphia: SIAM.
• 2. Bist, D.S. (2000) Safety and security at sea. Oxford-New Delhi: Butter Heinemann.
• 3. Engwerda, J.C. (2005) LQ dynamic optimization and differential games. West Sussex: John Wiley & Sons.
• 4. Isaacs, R. (1965) Differential games. New York: John Wiley & Sons.
• 5. Kouemou, G. (2009) Radar technology. Chapter 4 by Józef Lisowski: Sensitivity of safe game ship control on base information from ARPA radar. Croatia: In-tech. pp. 61–86.
• 6. Mesterton-Gibbson, M. (2001) An introduction to game theoretic modeling. Providence: American Mathematical Society.
• 7. Millington, I. & Funge, J. (2009) Artificial intelligence for games. Amsterdam–Tokyo: Elsevier.
• 8. Modarre, M. (2006) Risk analysis in engineering. Boca Raton: Taylor & Francis Group.
• 9. Nisan, N., Roughgarden, T., Tardos, E. & Vazirani, V.V. (2007) Algorithmic game theory. New York: Cambridge University Press.
• 10. Osborne, M.J. (2004) An introduction to game theory. New York: Oxford University Press.
• 11. Perez, T. (2005) Ship motion control. London: Springer.
• 12. Pietrzykowski, Z. (2004) Modelling of decision processes in sea-going ship movement control. Szczecin: Maritime University in Szczecin, No. 43 (in Polish).
• 13. Straffin, P.D. (2001) Game theory and strategy. Warszawa: Scholar.
• 14. Wells, D. (2013) Games and mathematics. Cambridge: Cambridge University Press.
• 15. Zwierzewicz, Z. (2012) Methods and algorithms in ship controls systems engineering. Szczecin: Maritime University in Szczecin.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.