arXiv subjects

V. O. Groppen

Publications and source records attributed to V. O. Groppen.

3 recordsLinked to original sources

arXiv2008

Systems of energy emitting bodies and their properties

Proposed is system of consistent mathematical models describing physical laws of a system of energy emitting bodies in dynamics, relativity and nuclear physics. It is shown the use of developed models for the description of systems, consisting of stable as well as of radioactive bodies and permitting to improve the quality of predicting the binding energy of light stable nuclides using modified semi-empirical equation. Experimental verification of proposed approach with respect to some nuclei of the Periodic Table elements in the first approximation confirms its validity.

math.DS↗

arXiv2005

Mathematical Models and Formal Approaches for Caching Strategies Optimisation

An optimization of caching strategies is proposed as a formal approach allowing us a more efficient use of two-level computer memory. This approach is based on a set of mathematical models and a set of theorems, permitting analytical determination of optimal caching strategy operating characteristics, thus minimising time loss caused by optimal strategy search.

math.OC↗

arXiv2005

New solution principles of multi-criteria problems based on comparison standards

Proposed is a new formal approach for solution of extreme multi-criteria problems transforming them into single-criterion mathematical models, without any additional information. Transforming rules are based on comparison standards and intervals between these standards and goal function values, corresponding to problem solution. Pareto-optimality of these solutions is proved by a number of theorems. Examples illustrating efficiency and universality of this approach are presented.

math.OC↗