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1
Content available Compromise of two-criteria final payoff of the game ship control in collision situations
Lisowski J.
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
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2021
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Vol. 15 No. 2
455--461
EN
The essence of the article is the use of multi-criteria static optimization of object motion, based on a set of optimal Pareto points in the space of possible variants of solutions for a new approach to the problem as a game control. Using the example of the two-criteria optimization of the final payoff of the object game control during the safe evasion of the encountered objects, six methods of multi-criteria static optimization are presented—Bentham's utilitarian rule, Rawls's principle of justice, Salukvadze's benchmark, Benson's weighted sums, Haimes's constraints, and goal-oriented programming. In the end, the results obtained by the two-criteria optimization are compared with regard to the values of the components of the final game payoff—the risk of collision and the deviation of the object from the safe route of the set trajectory of movement. The directions for the development of multi-criteria optimization methods, both static and dynamic, and the game are indicated.
2
Content available Cooperative and non-cooperative game control strategies of the ship in collision situation
Lisowski J.
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
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2018
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Vol. 12, no. 1
83--91
EN
The paper introduces the positional cooperative and non-cooperative game of a greater number of met ships for the description of the process considered as well as for the synthesis of optimal control strategies of the own ship in collision situation. The approximated mathematical model of differential game in the form of triple linear programming problem is used for the synthesis of safe ship trajectory as a multistage process decision. The considerations have been illustrated an example of program computer simulation to determine the safe ship trajectories in situation of passing a many of the ships encountered.
3
Content available remote Zastosowanie zbiorów rozmytych do sterowania ruchem statku w sytuacjach kolizyjnych
Mohamed-Seghir M.
Zeszyty Naukowe Akademii Morskiej w Gdyni
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2006
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nr 55
96-105
PL
W artykule przedstawiono model procesu sterowania statkiem w sytuacjach kolizyjnych jako wieloetapowego procesu podejmowania decyzji w rozmytym otoczeniu. W pracy zawarto badania symulacyjne algorytmu wyznaczania optymalnej trajektorii bezpiecznej statku w sytuacjach kolizyjnych oraz badania wrażliwości modelu procesu bezpiecznego sterowania statkiem w sytuacjach kolizyjnych w rozmytym otoczeniu na zmiany parametrów modelu procesu i niedokładności danych uzyskanych z urządzeń nawigacyjnych.
EN
In this paper a safe ship trajectory in collision situation is presented as a multistage decision-making in a fuzzy environment, to determine optimal safety trajectory, according to the international Rules of the Road at Sea, it is used an algorithm of a branch and bound method. To prove application of the proposed conception, computer simulations are presented in a graphical form.
4
Content available remote The problems of Collision Avoidance at Sea in the Formulation of Complex Motion Principles
Żak B.
International Journal of Applied Mathematics and Computer Science
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2004
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Vol. 14, no 4
503-514
EN
The paper presents a mathematical model of a collision situation for objects afloat based on the rules of a multiple complex motion. It also contains an analysis of the presented model and draws some conclusions from it. The method used to determine the minimum-time control of ships in a situation of colliding with other objects afloat is presented for a mathematical model of a collision situation. It also includes the results of a simulation study conducted by means of this method. A parallel approach of a ship to an encountered object was studied, i.e., a situation generating a critical case which is the collision of two ships.
5
Metody rozgrywającego sterowania statkiem w sytuacjach kolizyjnych
Lisowski J.
Pomiary Automatyka Kontrola
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2003
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R. 49, nr 1
5-9
PL
W referacie sformułowano problem sterowania procesem unikania kolizji statków na morzu jako grę dynamiczną j obiektów. Zaprezentowano algorytmy wieloetapowej gry pozycyjnej i wielokrokowej gry macierzowej w zastosowaniu do wyznaczania bezpiecznej trajektorii rozgrywającej statku w sytuacji kolizyjnej. Rozważania zilustrowano wynikami komputerowej symulacji w języku Matlab/Simulink bezpiecznych trajektorii statku w rzeczywistej sytuacji nawigacyjnej na morzu mijania się z dwudziestoma spotkanymi obiektami. Przedstawiono charakterystyki wrażliwości sterowania rozgrywajacego na niedokładność informacji o stanie procesu i na zmiany jego parametrów.
EN
The paper describes the application of elements of the game theory for the purpose of optimal control of some dynamic continuous processes. using as an example the process of sale ship`s control, the paper presents the problem of applying a positional non-cooperative game and multi-step matrix game of j objects for the desctription of the process considered as well as for the synthesis of optimal strategies. A computer simulation showing safe trajectory through twenty objects at sea illustrates this. Finally, the sensitivity of ship game control to inaccurate data from the ARPA anticollision radar system and to variation ion ship dynamics is presented.
6
Optimization of ship's trajectory in collision situation
Żak B.
Journal of Technical Physics
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2002
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Vol. 43, no 1
69-79
EN
The paper presents a method used to determine the minimum-time control of ships in a situation of collision with other objects afloat. It also includes the results of simulation study conducted by means of this method. Parallel approaching of a ship to an encountered object was studied, i.e. a situation generating a critical case - collision of two ships.
7
Collision situation of objects afloat as multiple complex motion
Żak B.
Journal of Technical Physics
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2002
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Vol. 43, no 1
81-90
EN
The paper presents a mathematical model of a collision situation of objects afloat. To describe it, the rules of a multiple complex motion were used. The paper contains also an analysis of the model presented and the conclusions drawn from it.
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