<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper presents a mathematical model of a positional game of the safe control of a vessel in collision situations at sea, containing a description of control, state variables and state constraints as well as sets of acceptable ship strategies, as a multi-criteria optimisation task. The three possible tasks of multi-criteria optimisation were formulated in the form of non-cooperative and cooperative multi-stage positional games as well as optimal non-game controls. The multi-criteria control algorithms corresponding to these tasks were subjected to computer simulation in Matlab/Simulink software based on the example of the real navigational situation of the passing of one’s own vessel with eighteen objects encountered in the North Sea.</p></abstract>

The paper presents a mathematical model of a positional game of the safe control of a vessel in collision situations at sea, containing a description of control, state variables and state constraints as well as sets of acceptable ship strategies, as a multi-criteria optimisation task. The three possible tasks of multi-criteria optimisation were formulated in the form of non-cooperative and cooperative multi-stage positional games as well as optimal non-game controls. The multi-criteria control algorithms corresponding to these tasks were subjected to computer simulation in Matlab/Simulink software based on the example of the real navigational situation of the passing of one’s own vessel with eighteen objects encountered in the North Sea.

Multi-Criteria Optimisation of Multi-Stage Positional Game of Vessels

Polish Maritime Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Multi-Criteria Optimisation of Multi-Stage Positional Game of Vessels"}

The paper presents a mathematical model of a positional game of the safe control of a vessel in collision situations at sea, containing a description of...

Multi-Criteria Optimisation of Multi-Stage Positional Game of Vessels

Published Online: Apr 30, 2020

Page range: 46 - 52

DOI: https://doi.org/10.2478/pomr-2020-0005

Keywords
maritime transport, optimisation, game theory, ship control, computer simulation

© 2020 Józef Lisowski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Multi-Criteria Optimisation of Multi-Stage Positional Game of Vessels

Published Online: Apr 30, 2020

Page range: 46 - 52

DOI: https://doi.org/10.2478/pomr-2020-0005

Keywordsmaritime transport, optimisation, game theory, ship control, computer simulation

© 2020 Józef Lisowski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
maritime transport, optimisation, game theory, ship control, computer simulation