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.

Convergence of a Newton-like algorithm solving the nonlinear complementarity problem

Abstract: In the paper, we examine conditions that guarantee the existence of a solution to the parametric nonlinear complementarity problem with a monotone with respect to x mapping f: R

Carbon nanostructures: scientometric analysis for 2000-2015 (Part 3)

Abstract: The article presents a scientometric analysis of the development of the carbon nanotechnology (NT) direction for 2000-2015 with the participation of 30 most active countries. It shows shifting the world research center to the Asian region, both on volume and quality indicators. Using the concept of a national research portfolio gives deep characteristics of different countries behavior in the course of scientific rivalry. Due to the strong skewness of the citation distributions, preference is given to the percentile-based indicators, such as: the contribution of a country to the world top-10% (top-1%) of the most highly cited publications, the share of such publications in the country's total output, the highly cited papers index, etc. Relying on them, the author fully discloses the scientific «offensive» of the «newcomer» countries on the «incumbents» ones (e.g. China on the USA, South Korea on Germany, Iran on Russia), the phenomenon of Singapore as an effective producer of highly cited publications on the carbon nanostructures, and international co-authorship in the top-1% segment of the most cited articles. Russia's positions are studied in detail, the main domestic research participants are established, and based on bibliometric criteria the center of scientific excellence in the field of graphene is identified. The paper characterizes the supporting role of a number of national science foundations in the NT carbon direction development using data of WoS. The author used the Science Citation Index Expanded database for the initial bibliographic sampling; information of science foundations of Russia and the USA, as well as patent organizations of Russia (Rospatent) and the world (WIPO) for additional comparison.

Optimization of the Number and Frequency of Repairs

Abstract: When managing the production process at an enterprise, it is important to correctly develop a policy for overhauls of machinery and equipment. Usually for this purpose, enterprises use the standards for the repairs frequency recommended in the literature. In publications on the reliability theory, repair policy is considered as an optimization problem. In publications on the theory of reliability, this problem is considered as optimization. In this case, usually the criterion of optimization is some kind of relative indicator, such as availability rate or average operating costs per unit of time. However, such criteria do not fully reflect the economic interests of enterprises – owners of equipment. In a market economy, these enterprises are focused on maximizing their market value. In this paper, we propose to form a repair policy in which the market value of the enterprise, and therefore all its assets, will be most. The corresponding mathematical model is the best use underling the valuation theory. It also takes into account the physical deterioration of machines during their operation, as well as the possibility of random marginal failures, leading to the need to stop using the machine. In this case, the improvement of the technical condition of the machine after its overhaul is described using the Kijima imperfect repair model. The calculations carried with our model allow establishing how the optimal number and timing of repairs depend on such parameters as repair cost and its restoration factor, the rate of physical wear of machines, and the intensity of their resource failures. We show how to use the constructed model to take into account the effect of inflation rates and income and property tax rates on the repair policy.