Central Economics and Mathematics Institute

About: Central Economics and Mathematics Institute is a facility organization based out in Moscow, Russia. It is known for research contribution in the topics: Population & Foreign-exchange reserves. The organization has 297 authors who have published 580 publications receiving 6449 citations. The organization is also known as: Federal State Institution of Science Central Economics and Mathematics Institute of the Russian Academy of Sciences.

On assigning service life for technical systems under inflation

Abstract: A technical system is used by an enterprise that is a typical market participant to perform specific work. During operation, the operating characteristics of the system deteriorate. In case of a possible failure of the system, it is decommissioned and this causes losses for the enterprise. It turns out that it is beneficial to assign a certain service life to the system after which (if no failure has occurred) it is subject to decommissioning. We are solving the problem of optimizing this assigned service life. Usually, when solving it, inflation is not taken into account, and the optimality criteria are the average costs per unit of time and other indicators that do not fully reflect the commercial interests of the enterprise owning the system. Using the principles and methods of valuation, we build a mathematical model and propose formulas that allow us, taking into account inflation, to find the optimal assigned service life of the system and at the same time estimate the market value of the work performed by the system and calculate the change in the market value of the system with age. Moreover, in this problem, the optimality criterion is the ratio of the expected discounted costs to the expected discounted volume of work performed by the system. We show that such a criterion maximizes the market value of the enterprise owning the system. We give examples of using the constructed model. The results obtained can be used both for solving other optimization problems of the reliability theory and for practical valuation of some types of machinery and equipment.

Russian Transformation and Its Results

Abstract: Negative trends in Russian macroeconomic dynamics are considered in the article: raw materials production orientation, lowering of employees remuneration share in GDP, inflation, etc. It is shown that they are caused by the institutional system that has been formed during the period of reforms. This system hinders effective social and economic development.

Multivectors of rank 2 over fields and commutative rings

Abstract: In this paper the following question is studied: when can a homogeneous element of a Grassmann algebra be represented as the sum of two decomposable elements? For an exterior algebra over a field necessary and sufficient conditions of such a representation are obtained, over an arbitrary integral domain several necessary conditions, and over Krull rings also several sufficient conditions. In particular, it is established that the only rings such that the verification of 2-decomposability is carried out in the same way as over fields are the fields, that is, there are no "2-Plucker" rings.

Risk Assessment of Innovative Projects Implementation in Enterprises Using Artificial Neural Networks

Abstract: The purpose of this paper is to shed new light on the issue of risk assessment in implementing innovative projects. Based on the ideas of George Kleiner and artificial neural network tools, this paper interprets the possibility of completing successful innovation projects in terms of risk management. The argument is buttressed with a case study of a set of Russian enterprises implementing innovative projects. Successful completion of an innovation project depends on a number of risk factors identified at the project start. The identified set of risk factors should include both innovative risk factors and non-innovative risk factors. This fact was established during the cluster analysis of the available data. The paper excludes from consideration the anti-risk management impact and does not take into account the weights of various risk factors in the problem formalization. The practical application of the results of the study is decision makers’ quest to strike a visual interpretation of the final data with a small number of possible scenarios that differ significantly from each other. This research contributes significantly to the literature on the risk assessment model of innovative projects. The failure of managers to balance the assessment of innovative risk factors and non- innovative risk factors is exposed as the root cause of the unsuccessful completion of innovative projects.