Generalized continuous linear model of international trade
Journal Title: Проблеми економіки - Year 2014, Vol 2014, Issue 1
Abstract
The probability-based approach to the linear model of international trade based on the theory of Markov processes with continuous time is analysed. A generalized continuous model of international trade is built, in which the transition of the system from state to state is described by linear differential equations. The methodology of how to obtain the intensity matrices, which are differential in nature, is shown, and the same is done for their corresponding transition matrices for processes of purchasing and selling. In the process of the creation of the continuous model, functions and operations of matrices were used in addition to the Laplace transform, which gave the analytical form of the transition matrices, and therefore the expressions for the state vectors of the system. The obtained expressions simplify analysis and calculations in comparison to other methods. The values of the continuous transition matrices include in themselves the results of discrete model of international trade at moments in time proportional to the time step. The continuous model improves the quality of planning and the effectiveness of control of international trade agreements.
Authors and Affiliations
Elena Kostenko, Volodymyr Kuznichenko
Keywords
Related Articles
- EP ID EP157572
- DOI -
- Views 69
- Downloads 0
Concept of life cycle in managing city economic potential
The article reveals theoretical and methodological foundations of the concept of the life cycle of systems. It allocates two main methodical approaches to assessment of the life cycle of a city as an open socio-economic...
Scientific and methodical approach to identifying lags of the stabilisation financial policy
The article studies the problem of identifying lags when applying instruments of stabilisation financial policy of the state. The author justifies a scientific and methodical approach to this identification. It offers a...
Features of the innovation economy of Ukraine: economic and financial aspects
The article analyzes the negative trends affecting the development of innovative economy of Ukraine. Considered signs of an innovative economy. The conditions that need to crate for the development of innovative economy...
Potential of energy saving in the system of development of agriculture in Ukraine
The article is devoted to solution of problems of energy saving of the country by means of balanced development of agriculture. The article analyses main ecologic and energetic problems of Ukraine at the modern stage of...
Methodological Bases of Estimation of the Standard of Living of Population in the Regions of Ukraine
The methodological approach to estimation of a population's living level in regions of Ukraine is offered in article. This approach is founded on calculation of a population's living level as an integral factor by entrop...