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4 Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

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The concept of implementation of the decentralized application level structure for providers of a typical next generation network

Kniazieva N., Shestopalov S., Susłow W., Yatsko A.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2017

Vol. 22

99--116

Based on the IPCC concept, the architecture of the Next Generation Network with the Decentralized Structure Applications Level to improve the quality control of the intellectual services (ISes) provisioning is proposed. It is recommended to evaluate the effectiveness of the control of provisioning ISes by means of the complex criterion, which takes into account the interests of three participants of ISes: process service providers, equipment suppliers and network users. The subcriteria are defined for each participant. The method used for the calculation of each subcriterion has been proposed as well. The problem of the association of subcriteria into the resulting complex criterion has been solved.

An estimation method of traffic safety level of vehicles on a level crossing

Yatsko A.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2014

Vol. 19

251--257

Let us consider a level crossing as a technical object with a certain level of safety. In the paper we propose a new method based on the theory of geometric programming. It allows to solve the problem of minimizing common risk of the object safety violation in a simple analytic form due to the choice of object protection parameter set. There is given a numerical example illustrating the calculated scheme of the method.

A correction method for projects of system safety from the risk minimization criterion

Yatsko A.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2011

Vol. 16

95--100

In this paper we give an analytical method of solution to the problem of correction of the technical system parameters in order to reduce the planned common risk of technical system safety violation.

A new iterative method for solution of the dual problem of geometric programming

Yatsko A., Sudakov R.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2007

Vol. 12

115-120

In this article a new method of optimal solution of the dual problem is proposed. This method is based on Newton's attraction theorem. An estimate of iteration convergence is given. The method uses some new procedure of correction of the current iteration. It is shown that the method uses matrix operations at each step of calculations and has a quadric speed of the convergence.