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Sensitivity of computer support game algorithms of safe ship control

100%

Lisowski J.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 2

439-446

The paper investigates the sensitivity of safe ship control to inaccurate data from the ARPA anti-collision radar system and to changes in the process control parameters. The system structure of safe ship control in collision situations and computer support programmes exploring information from the ARPA anti-collision radar are presented. Sensitivity characteristics of the multistage positional non-cooperative and cooperative game and kinematics optimization control algorithms are determined through examples of navigational situations with restricted visibility at sea.

Spanning Structures in Walker–Breaker Games.

100%

Forcan J. , Mikalački M.

Fundamenta Informaticae

2022

tom Vol. 185, nr 1

83--97

We study the biased (2 : b) Walker–Breaker games, played on the edge set of the complete graph on n vertices, Kn. These games are a variant of the Maker–Breaker games with the restriction that Walker (playing the role of Maker) has to choose her edges according to a walk. We look at the two standard graph games – the Connectivity game and the Hamilton Cycle game and show that Walker can win both games even when playing against Breaker whose bias is of the order of magnitude n/ ln n.

Game control methods in avoidance of ships collisions

63%

Lisowski J.

Polish Maritime Research

2012

tom S 1

3-10

The paper introduces application of selected methods of a game theory for automation of the processes of moving marine objects, the game control processes in marine navigation and the base mathematical model of game ship control. State equations, control and state constraints have been defined first and then control goal function in the form of payments – the integral payment and the final one. Multi-stage positional and multi-step matrix, non-cooperative and cooperative, game and optimal control algorithms in a collision situation has been presented. The considerations have been illustrated as an examples of a computer simulations mspg.12 and msmg.12 algorithms to determine a safe own ship’s trajectory in the process of passing ships encountered in Kattegat Strait.