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Iemets O.O.,Poltava University of Economics and Trade | Barbolina T.M.,The National Pedagogical University
Cybernetics and Systems Analysis | Year: 2017

The paper substantiates the method of constructing the lexicographic equivalence to solve mixed combinatorial optimization problems on arrangements with linear-fractional objective function and linear additional constraints. The method involves directed search of equivalence classes obtained by splitting polyhedral set using equivalence relation. The authors propose exact methods as well as an approximate one. The approximate method allows getting the objective function value that differs from the optimum by no more than a predetermined value. © 2017 Springer Science+Business Media New York


Iemets O.O.,Poltava University of Economics and Trade | Yemets' O.O.,Poltava University of Economics and Trade
Cybernetics and Systems Analysis | Year: 2016

The authors consider strong solvability and strong feasibility of uncertain linear systems of equations in five grades (exact, quasi-exact, semi-exact, quasi-fuzzy, and fuzzy). © 2016, Springer Science+Business Media New York.


Gogolieva M.,Kharkiv National University of Radioelectronics | Garkusha S.,Poltava University of Economics and Trade | Abed A.H.,Kharkiv National University of Radioelectronics
2011 11th International Conference - The Experience of Designing and Application of CAD Systems in Microelectronics, CADSM 2011 | Year: 2011

This paper focuses on mathematical models of distribution channels in the multi-mesh-networks, the 802.11 standard by which the balancing of mesh-stations on domains conflicts with their territorial remoteness and activity that can improve the performance of multichannel mesh network as a whole. © 2011 Lviv Polytechnic National.


Iemets O.O.,Poltava University of Economics and Trade | Barbolina T.M.,The National Pedagogical University
Cybernetics and Systems Analysis | Year: 2016

The paper establishes the necessary condition for the solution of a linear unconditional problem of combinatorial optimization on arrangements where coefficients of objective function are positive. These results are used to establish the properties of the solution of linear unconditional optimization problem on arrangements for the case where probabilistic uncertainty takes place in the definition of the feasible domain and the minimum is defined according to the linear order introduced on the set of discrete random variables: we formulate and prove the condition that can underlie the search for solution and the ways of constructing the solution in some special cases. © 2016 Springer Science+Business Media New York


Iemets O.O.,Poltava University of Economics and Trade | Barbolina T.M.,The National Pedagogical University
Cybernetics and Systems Analysis | Year: 2016

Linear unconstrained problem of combinatorial optimization on arrangements under stochastic uncertainty is being solved. The minimum is defined as the result of sequential comparison of numerical characteristics of random variables. The properties of the solution of the optimization problem under study are obtained. These properties use the properties of special constructed deterministic problems. The authors also propose the reduction method to solve linear unconstrained problem of combinatorial stochastic optimization, which is based on obtained solution’s properties. © 2016, Springer Science+Business Media New York.


Harkusha S.,Poltava University of Economics and Trade | Harkusha O.,Poltava University of Economics and Trade
Modern Problems of Radio Engineering, Telecommunications and Computer Science, Proceedings of the 13th International Conference on TCSET 2016 | Year: 2016

The frequency resource distribution mathematical model is offered as a problem of subchannels' number balancing between radio channels formed by mesh-stations of the wireless network. The use of the offered model has made it possible to raise efficiency of the wireless mesh-network as a whole and ensure the bottlenecks absence. © 2016 National University Lviv Polytechnic.


Garkusha S.V.,Poltava University of Economics and Trade
CriMiCo 2013 - 2013 23rd International Crimean Conference Microwave and Telecommunication Technology, Conference Proceedings | Year: 2013

The comparative analysis of the proposed model of distribution for time-frequency resource of LTE technology with the existing methods in terms of the overall performance of the downlink, the degree of balancing capacity, as well as the probability of the desired transfer rate allocation to the user equipment (UE). It is shown that the proposed model under high requirements to transfer rate of UE as compared to known methods, allows 5-20% increasing the downlink capacity balance ratio and 40-100% increasing the probability of allocation of required transfer rate to UE. © 2013 CriMiCo'2013 Organising Committee, CrSTC.


Iemets O.O.,Poltava University of Economics and Trade | Parfionova T.O.,Poltava University of Economics and Trade
Cybernetics and Systems Analysis | Year: 2010

A combinatorial transportation problem is examined. In contrast to the classical problem, transportations are permutations of the given vector of possible volumes of transportation. A function is shown to be an estimate of the feasible subset in solving this problem by the branch and bound method. The property of the proposed estimate is revealed, which increases the efficiency of the branch and bound method. © 2010 Springer Science+Business Media, Inc.


Garkusha S.,Poltava University of Economics and Trade
Modern Problems of Radio Engineering, Telecommunications and Computer Science - Proceedings of the 11th International Conference, TCSET'2012 | Year: 2012

The paper analyzes the influence of territorial separation stations and technological characteristics of multiradio multichannel mesh networking the quality of the solution of the allocation of channels. © 2012 Lviv Polytechnic Natl Univ.


Lemeshko A.,Kharkiv National University of Radioelectronics | Garkusha S.,Poltava University of Economics and Trade | Abed A.H.,Kharkiv National University of Radioelectronics
Modern Problems of Radio Engineering, Telecommunications and Computer Science - Proceedings of the 11th International Conference, TCSET'2012 | Year: 2012

The article introduces a two-index model of the distribution channels in the multiradio multichannel wireless mesh networking (MR-MC WMN) standard IEEE 802.11. The model describes the process of distribution channels in both homogeneous and in heterogeneous MR-MC WMN. © 2012 Lviv Polytechnic Natl Univ.

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