Sikirin V. Optimization of vessel traffic control by minimizing trajectory error

The method of choice of index of efficiency of functioning of the system of acceptance of decisions on the traffic control of ship is examined in work, which reflects exactness of withholding of ship on the programmatic trajectory of motion taking into account influencing of substantial stochastic and determined factors. As the stochastic index of efficiency of functioning of the system of acceptance of decisions dispersion of the module of vector's error is chosen, and his determined constituent is characterized by the maximal value of the lateral tearing down of ship in relation to the programmatic trajectory of motion. Analytical expressions 22 of maximal value of the lateral tearing down of ship at proportionally-differential and proportionally-integrally-differential by the management of ship are got. Properties of the generalized law Puasson are explored and procedure of transformation of the system of dependent casual sizes in the system of independent to that dimension by an orthogonal matrix is got. For the generalized distributing of Puasson by characteristic functions possibility of decomposition of dependent casual sizes in the system of independent is shown, and expression for the closeness of distributing allowing to form procedure of calculation of effective estimations of coordinates is got. The questions of estimation of efficiency of coordinates of ship are considered, expected by a least-squares method at presence of surplus lines of position, the errors of which are distributed on the generalized law Puasson. In the case of surplus lines of position the calculation of coordinates is offered by a maximum likelihood method at distributing of their errors on the generalized law Puasson. For the modern vessels of a different setting some aspects of perfection of process of their management are considered with the use of mathematical models of their guided motion and realization of them on modern computing facilities with the use of information technologies. Verification of statistical hypotheses of distributing of errors of measuring of the navigation parameters got in the model supervisions in the voyage of ship is produced. It is set as a result of verification, that for description of errors of selections the mixed laws of both types and generalized law Puasson can be used.