Percolation approach to simulation of a sustainable network economy structure

Mira A. Kantemirova (), Mira A. Kantemirova (), Zaur L. Dzakoev (), Zara R. Alikova (), Sergei R. Chedgemov (), Sergei R. Chedgemov (), Zarina V. Soskieva () and Zarina V. Soskieva ()
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Mira A. Kantemirova: Gorsky State Agrarian University, Russian Federation
Mira A. Kantemirova: North Ossetian State Medical Academy, Russian Federation
Zaur L. Dzakoev: North Ossetian State University, Russian Federation
Zara R. Alikova: North Ossetian State Medical Academy, Russian Federation
Sergei R. Chedgemov: North Ossetian State Medical Academy, Russian Federation
Sergei R. Chedgemov: North Ossetian State University, Russian Federation
Zarina V. Soskieva: North Ossetian State Medical Academy, Russian Federation
Zarina V. Soskieva: Gorsky State Agrarian University, Russian Federation

Entrepreneurship and Sustainability Issues, 2018, vol. 5, issue 3, 502-513

Abstract: This study is aimed at the application of the percolation theory to simulation of a sustainable network organization of the economy in conditions of high uncertainty of the external environment. The methods for investment and cost recovery efficiency calculation in order to achieve synergy are used in the course of networks formation. The methods of graph theory and one-dimensional percolation are used herein. The conceptual content of the modified percolation approach to the analysis and simulation of network structures is specified. The controlled process of network formation offers the possibility to form the percolation cluster on the basis of minimization of its length (the shortest path). The formation regularities of two types of a percolation cluster (internal and cross-border) as the basis for the creation of the appropriate network structures are revealed. The examples of the applied problems, which study the percolation based on lattice cells (lattice coupling problem), are considered herein. The results of empirical approbation of the proposed approach in the field of services with the description of the algorithm for the networks and a cluster formation are presented. The transition from the random Bernol's percolation (based on random selection of cells) in favor of the correlated percolation is justified.

Keywords: percolation; percolation theory; cluster; networks (search for similar items in EconPapers)
JEL-codes: D85 L14 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:ssi:jouesi:v:5:y:2018:i:3:p:502-513

DOI: 10.9770/jesi.2018.5.3(7)

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