Application of AHP in ship collision avoidance simulation

In the simulation of ships, the static generation method is used, that is, when the entire system is designed, for a certain rule base or a certain navigational situation, a pairwise comparison matrix is ​​formed for the schemes it controls and stored in the form of a constant In the system, it is used for real-time decision-making of the system.

Since the number of target ships changes each time the decision-making system is operated, the dynamic generation method is adopted for the construction of the judgment matrix between the target ship and the rule base and the encounter situation, that is, during each operation, the For a certain target ship, it forms a pairwise comparison matrix for the rule base it controls and the encounter situation it belongs to for decision-making. Perform hierarchical single sorting, that is, judge the matrix to calculate the relative weight of the compared elements to a certain criterion. If you don't know the weight of this group of objects in advance, you can't weigh it, but by comparing each other, you can get their relative weight. Then the relative weight is used to obtain the weight vector of each object.

In the navigation intelligent collision avoidance expert system, the power method is used to find the maximum eigenvalue of the positive matrix and the corresponding eigenvector. It is determined by the degree of danger caused by each target ship to own ship, and a judgment matrix can also be constructed based on these degree of danger values, and then the hierarchical single ranking result can be obtained by solving the eigenvector corresponding to the maximum eigenvalue of the matrix.

The optimization process is carried out under the organic integration of qualitative and quantitative analysis, logical reasoning, analytical judgment and mathematical operation. Using the AHP method to solve the problems of sorting and selection of collision avoidance schemes encountered by ships not only conforms to the human thinking mode to a certain extent, so that the optimal schemes obtained by computer reasoning and the inference results made by the human brain are basically be consistent.

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