Method of substantiation of risks insurance of a classification society related to the vendors certification

In our paper, the methodical approach is proposed for risks minimization of classification society (CS) related to providing the low quality service by recognized vendors. For example, above vendors provide measurement of residual thicknesses of hull, radio expertise, underwater observations, etc. Safe operation of a ship is immediately determined by qualitative and reliable action of vendors. The method is worked out for optimization of  quality level of services providing  to CS by the vendors which allows us to assess reliability and qua-lity of vendors’ work, and the methodical approach for expediency of risks    insurance determination is proposed, as well. This methodical approach is based on the methods of mathematical reliability theory and evaluation of fai-lures probabilities of some subsystems of ship under operation. It is assumed that quality of vendors work is determined by the volumes of works for each subsystem. The optimization problem is formulated for determination of these volumes which minimize the total average cost for ship observation  by vendors and liquidation of failures sequences. The criterion of insurance expediency  of  failures risk  for the ship under operation (between two neighbor examinations) is formulated. The method is illustrated by numerical results.