Applied Mathematics and Control Sciences

The technique of calculating a round flexible plates, based on a variation (energy) approach, in particular, the Lagrange principle and method of Ritz-Timoshenko. The offered methodology allows more objectively to estimate the tense state of flexible plates being intermediate in classification on the terms of gladdening between hard and absolutely flexible plates (by membranes). The practical application of the methodology described on the example of the analysis of the stress-strain state of a round plate, which freely supported on the perimeter and under the action of uniformly distributed over the surface of the load. An offer methodology can be applied in the technological tasks of treatment of metals pressure.

The multi-management, which is characterized by the presence of several common interests, characteristic of the socio-economic systems, which include, for example, objects of cultural heritage, representing real estate, recreational facilities and economic relations. This control is implemented through the development and implementation of projects that are selected on a set of alternatives, consistent with the views of all participants in decision-making. Improving the efficiency of known concerted investment decision-making mechanisms in the multidimensional control problems is topical. The main idea and purpose of the presented results of the study is to improve the procedures for concerted innovative solutions based on generalized median schemes and bringing them to the level of tools. The authors proposed a substantial modification of procedure decision concerted investment decision-making on the basis of generalized median schemes, which completely will eliminate unwarranted preferences any coalitions. Is an example of the modified functions approval procedures to bring the phase characteristics of multifactor objects to the standard scale integrated assessment.

This paper describes the results of the previous research, independently conducted by the authors. Those include: the method of real estate portfolio creation based on the investment appeal criterion; the financial asset pricing model (adapted to the real estate market); the dynamic model of the real estate market which serves as an environment model for the simulation of economic processes. The advantage of the developed method of real estate portfolio creation was the fact that the model focused both on revenue and on the portfolio’s value increase, since an applicable profitability index was used as a measure of real estate profitability. The profitability index showed the increase in profitability (with regard to monetary and non-monetary profits) when investing in real estate, compared to risk-free alternatives. However, that method assumed a linear trend in real estate prices (it meant that the prices would change at the same rate in the future as they had done in the past). In practice, this assumption is often wrong, so in this paper, the authors suggest a non-linear model of market growth. Having analyzed the existing works on the subject, the authors have noticed that many modern researchers have been using the median instead of the mean when assessing variance and calculating risks on the grounds that the median works well both with Gaussian and non-Gaussian distribution. In reality, investment markets are often characterized by skew and fat tails. Thus, the paper shows four possible approaches to the creation of a real estate investment portfolio; each approach is due to be analyzed.