Geodesic
Algorithm for products final consumption structure analysis in degenerate dynamic input--output model
Journal of computational and engineering mathematics, Tome 4 (2017) no. 3, pp. 35-48

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The article presents an algorithm for products final consumption structure analysis. Such an algorithm for the base year allows to correctly determine the column-vector of final consumption of products in Degenerate Dynamic Input-Output Model of enterprise. The main idea of the algorithm is to include in the structure of the column-vector not only external but also internal trade turnover. This will increase the adequacy of this mathematical model. To characterize the efficiency of the proposed algorithm, it is necessary to study the conditionality and productivity of the obtained models in two cases: using the existing (first case) and author's methods (second case) at the formation of the final consumption vector. The study showed that the author's method, in a number of cases, allows to obtain well conditioned and productive model. Qualitative assessment of this statement is confirmed by the examples shown. The article also suggests an algorithm for final consumption vector-function finding in the model for the reporting year. An indicator of the adequacy of such a function has also been determined.
Keywords: final consumption, degenerate dynamic input-output model, condition number, productivity level of the enterprise input–output model. 
@article{JCEM_2017_4_3_a4,
     author = {T. A. Vinogradova},
     title = {Algorithm for products final consumption structure analysis in degenerate dynamic input--output model},
     journal = {Journal of computational and engineering mathematics},
     pages = {35--48},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2017_4_3_a4/}
}
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T. A. Vinogradova. Algorithm for products final consumption structure analysis in degenerate dynamic input--output model. Journal of computational and engineering mathematics, Tome 4 (2017) no. 3, pp. 35-48. http://geodesic.mathdoc.fr/item/JCEM_2017_4_3_a4/