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.

Small transaction costs, absence of arbitrage and consistent price systems

Abstract: The aim of this note is to establish a criterion of absence of arbitrage opportunities under small transaction costs for a family of multi-asset models of financial markets.

Semantically Enrichable Research Information System SocioNet

Abstract: Our paper presents a semantically enrichable type of research information systems, which differs from the traditional one by allowing users to create semantic linkages between information objects and to enrich by this the initial content. This approach was implemented as a whole ecosystem of tools and services at the SocioNet research information system, which is publicly available for the research community. Making semantic linkages, the SocioNet users create over metadata from its content a semantic layer that visualizes their scientific knowledge or hypothesis about relationships between research outputs. Such facilities, in particular, open new opportunities for authors of research outputs. Authors can essentially enrich metadata of their research outputs after the papers have been published and have become available at the SocioNet content. Authors can provide comments and notes for updating publication abstracts, data about motivations for citing the papers in the reference lists, research association with newer relevant publications, data about their personal roles and contributions into the collective research outputs, etc.

Separated set-systems and their geometric models

Abstract: This paper discusses strongly and weakly separated set-systems as well as rhombus tilings and wiring diagrams which are used to produce such systems. In particular, the Leclerc-Zelevinsky conjectures concerning weakly separated systems are proved. Bibliography: 54 titles.

Optimal production control of a failure-prone machine

Abstract: We consider a problem of optimal production control of a single unreliable machine. The objective is to minimize a discounted convex inventory/backlog cost over an infinite horizon. Using the variational analysis methodology, we develop the necessary conditions of optimality in terms of the co-state dynamics. We show that an inventory-threshold control policy is optimal when the work and repair times are exponentially distributed, and demonstrate how to find the value of the threshold in this case. We consider also a class of distributions concentrated on finite intervals and prove properties of the optimal trajectories, as well as properties of an optimal inventory threshold that is time dependent in this case.