The paper considers the so-called cohort method of accounting aggregates insurance portfolios. In insurance statistics systematization and processing of aggregate data on the issued policies, premiums and insurance payments are often made with gross errors, because ones don't set the criteria written policies and related payments to the analyzed statistical universe. Besides, it is often not clearly specify the scheme of calculation of aggregate statistical associated with these policies. The study gives a detailed and rigorous presentation as a method of formation of different cohorts data for a specified period of assessment the aggregated characteristics and methods of calculation of interest to insurance of indicators (absolute and relative) for these cohorts. The knowledge of these methods is necessary for a correct assessment of insurance premiums and reserves.

The algorithmic and program software of inverse interval method for global constrained optimization are considered. The solution of model examples and the proof of the theorems of the algorithm’s convergence are presented. The generalized scheme of developed algorithms has been created. This scheme has two replaceable modules of compression and check. This module approach allows the users to implement their own versions of the algorithm without loss of the method convergence. This will help to tune the method according to the characteristics of the current problem.

This paper presents a hybrid memetic algorithm (MA) to solve the problem of finding the optimal program control of nonlinear continuous deterministic systems based on the concept of the meme, which is one of the promising solutions obtained in the course of implementing the procedure for searching the extremes. On the basis of the proposed algorithm the software complex is formed in C#. The solution of satellite transfer problem is presented.

An algorithm of optimal correction of the work plan in the event of a deviation from the network schedule is proposed. Requirement within to perform activities in a given period of time with minimal additional resources involved to accelerate the work. The correction algorithm is based on using dynamic programming method taking into account the problem inherent feature when calculating the target function.

The article is devoted to finding the approach directions of optimization of aircraft systems as a result of a comprehensive comparative evaluation of the system studied. The underlying of approach data envelopment analysis methodology (DEA) based on the methods of mathematical programming, theory of production functions and Pareto optimality principle is dealt with.

A new approach to a vector radiation pattern of parabolic reflector antenna calculation based on its reflector consideration as a no-planar end of circular waveguide and reflection coefficient calculation by invariant imbedding method, is developed. As a result, an expression for the distribution of the vector field at antenna aperture in multimode regime of excitation is obtained. The developed approach may be interpreted as a basic new step in the development of aperture antenna theory.

A new approach to the optimal filtering problem for jump-diffusion models is considered in this paper. This approach is based on the statistical modeling method (Monte Carlo method). It is assumed that the observation object and measurement system are described by Itô stochastic differential equations, the observation object equation has compound Poisson component, which allows simulating impulse noises and perturbations for control system. These results have shown that the optimal filtering problem for jump-diffusion models can be solved as an analysis problem for the special stochastic system with jumps, branching and terminating trajectories.

The article focuses on the identification of moving ground targets on board unmanned aerial vehicle. The possibility of realization of algorithm for identification of objects in real-time by comparing the image of the object under consideration and a set of reference images of the objects of the classes are considered. The merit of the developed modification and the results of the experiments are given.

The information technology of recognition of aircraft type aircraft on images obtained from aerial photography. The developed method is based on the analysis of skeleton-contour characteristics is discussed. The main signs of recognition and the analysis of the sustainability of the procedure of all kinds of noises and distorting factors recognition. The results can be used at creation of program-algorithmic support of special systems of unmanned aerial vehicles (UAV).

An approach to computation of the airport throughput that is based on the quantum model is considered. The description of the quantum system is proposed in terms of macroparameters. The evolution process of quantum system is shown in terms of the markov chain. The transition probabilities between the different states of the system are shown in the analytical form. The dependency between the number of intersection of the SID/STAR - trajectories and airport throughput is considered.

The paper presents an approach to solving important scientific application at the evaluation of the effectiveness of airfields runway lighting in low visibility conditions using the integral index-based fashion.

The results of research of time variations of positioning errors in consumer's equipment of satellite navigation systems are presented. The shown repetition on adjacent days, peculiarity of day variation of errors, are proposed to be used for increasing accuracy of satellite navigation systems.

Criterion of a posteriori probability maximum is the methodological basis of the secondary processing of radar data in order to receive proper aircraft trajectory gasket. It is proposed to add to this scheme a priori information about the route which is known from the flight plan.

The 3-web and the system of differential equations are adjoined with an associated affine torsion-free connection (the so called canonical connection of an ordinary differential equations’ system). Components of the torsion tensor of this connection are expressed through the functions defining the system of differential equations. A general form of the system of differential equations with the zero torsion tensor is obtained.

The paper introduces the notion of an operator strongly condensing at infinity, which is a natural variation of the notion of a locally strongly condensing operator at a finite point (introduced by the author earlier). It turns out that if such an operator is asymptotically linear, then its asymptotic derivative is compact. In particular, this notion allows to build examples of operators that are neither compact, nor condensing, not even -bounded. Such operators form a linear space. Some applications of the notion to the theory of bifurcation points are discussed.

Geometric characteristics of regular spaces are determined. Examples of regular spaces are the Lebesgue and Lorentz spaces, in particular. For the Lorentz spaces an inequality for arbitrary subsets, connecting the measures of noncompactness and are proved. A new class of - condensing operators in the Lorentz spaces among partially-additive operators linear operators, in particular, is obtained.

Possibility of use of a projective iterative method for search of approximations to the closed set of not trivial generalised solutions of a boundary value problem for Ginzburg - Landau's equations of the phenomenological theory of superconduction is investigated. The projective iterative method combines a projective method and iterative process. The generalised solutions of a boundary value problem for Ginzburg - Landau's equations are critical points of a functional of a superconductor free energy.

The construction of the extensions of a 2-torus diffeomorphism up to volume preserving diffeomorphism of solid tori is proposed. The construction is illustrated on the example of extension of diffeomorphism of action on the torus. These extensions are used for the construction of kinematic dynamo examples onto solid torus. For the case of n -sphere a generation of results obtained before is proposed.

A new approach to the problem of co-processing of data about the aircraft position with the help of satellite navigation systems and secondary surveillance radar system is been developed. The purpose of the task is to obtain estimates of mistakes distribution for control systems and piloting errors. Possibility of a statistical relationship between piloting errors and mistakes of satellite navigation system is taken into account.