ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2012, Vol. 9, No. 3, pp. 9-17

Research and Algorithm for Solving the Problem of the Optimum Ship Route Based on Risk Theory and Remote Sensing

V.I. Agoshkov 1, A.O. Zayachkovskiy 2
1 Institute of Numerical Mathematics RAS Lomonosov Moscow State University, 119333, Moscow, Gubkina, 8 119991, Moscow, Vorobevy Gori, 1
2 Lomonosov Moscow State University, 119991, Moscow, Vorobevy Gori, 1
In this paper an algorithm for finding the optimum ship route according to the radar danger appearance control is proposed. The method for finding the optimum ship route is based on the route cost functional, which describes the total costs the route between the two points may be burdened with. We consider some kinds of critical situation with the ship. Having described the situation possibilities characteristics and the loss of consequences we get the numerical estimation of risk. There are considered variational equations for minimization of the functional and the problem of solvability is examined. The problem was solved numerically and the small perturbation method was used to find an approximate solution. The results of analysis allow further consideration of other more complex optimum ship route problems.
Keywords: optimum ship route, radar danger appearance control, variational equations, functional of risk
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