Case study of the complex systems eciency
Journal Title: Mathematica Applicanda. Annales Societatis Mathematicae Polonae Series III . - Year 2017, Vol 45, Issue 1
Abstract
The subject of considerations shall be mathematical models describing the fluctuation of states of complex systems. The purpose of this work is to give a defined system (considering failures, the activation process and possibility of repair), its description along with the basic indications of the multi-level system analysis, and in particular the definition of steady-state probabilities and the performance analysis. The modeling tool here are continuous-time Markov chains with finite number of states.
Authors and Affiliations
Anteta Antkowiak
Energy decay result for a nonlinear wave p-Laplace equation with a delay term
We consider the nonlinear (in space and time) wave equation with delay term in the internal feedback. Under conditions on the delay term and the term without delay, we study the asymptotic behavior of solutions using the...
Approximative solutions of optimal stopping and selection problems
In this paper we review a series of developments over the last 15 years in which a general method for the approximative solution of finite discrete time optimal stopping and choice problems has been developed. This metho...
A refined and asymptotic analysis of optimal stopping problems of Bruss and Weber
The classical secretary problem has been generalized over the years into several directions. In this paper we confine our interest to those generalizations which have to do with the more general problem of stopping on a...
Extremal particles in branching processess
The purpose of this study is to investigate two related spatial branchingmodels with the unbounded branching intensity. The objective is to describe theasymptotic behaviour of the extremal particle.
Case study of the complex systems eciency
The subject of considerations shall be mathematical models describing the fluctuation of states of complex systems. The purpose of this work is to give a defined system (considering failures, the activation process and p...