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Economic Analysis: Theory and Practice
 

A mathematical model of dynamic SWOT-analysis and its application methodology in economics

Vol. 15, Iss. 9, SEPTEMBER 2016

PDF  Article PDF Version

Received: 16 March 2016

Received in revised form: 6 April 2016

Accepted: 14 June 2016

Available online: 29 September 2016

Subject Heading: MATHEMATICAL METHODS AND MODELS

JEL Classification: C51, C61

Pages: 185-196

Danilov N.N. Kemerovo State University, Kemerovo, Russian Federation
danilovnn@mail.ru

Inozemtseva L.P. Kemerovo State University, Kemerovo, Russian Federation
lipetin@yandex.ru

Subject The article considers the generalization of SWOT-analysis, taking into account the time factor, which leads to improving its scope of application, increasing its adequacy and quality of results.
Objectives The purpose of the study is to build a mathematical model of dynamic SWOT-analysis as a mechanism of formation and regulation of management decisions, and to develop on its basis a methodology for implementing the best scenario of enterprise functioning under uncertainty.
Methods The employed methodology rests on mathematical modeling as a unique method of scientific knowledge, as well as on approaches and methods of mathematical theory of optimal processes and the game theory having the nature of the science dealing with decision making under uncertainty.
Results The paper provides a mathematical model of SWOT-analysis for dynamic systems and a methodology for its implementations at the enterprise (although the area of its application goes beyond the economic sphere). We underpin the construction of the mathematical model of SWOT-analysis in the form of multi-criterial problem of optimal management. Owing to this approach, the SWOT-analysis turns into a rigorous mathematical problem, which allows using the methods of formal analysis. Each trajectory of the resulting system corresponds to a specific management decision and implements a specific scenario of the business process. We built an algorithm of the dynamic SWOT-analysis based on standardized tables and calculation formulae.
Conclusions The suggested methodology improves the scope of SWOT-analysis application, including the dynamic processes. Brought up to the computational algorithm, it has apparent practical significance.

Keywords: planning period, motion equation, information, SWOT-analysis

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