A novel approach to stochastic input-output modeling
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1155-1169.

An approach to input-output modeling is proposed in which the inner consumption and the final demand are random. The main aspects of its novelty are: (a) the economy is allowed to be nonproductive with a certain probability ϰ ∈ [0,1); (b) the economy can be open, which means that import of the corresponding commodities is included in the model. In this approach, the production-and-import plan is set to be feasible if the probability of not satisfying the final demand does not exceed a certain value α ∈ (0,1). Then the problem of finding optimal plans consists in minimizing the production and import costs on the set of feasible plans. The solvability of this problem and properties of the solutions are studied and a concrete example of the stochastic input-output model is analyzed.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018046
Classification : 91B70, 91B66
Mots-clés : Leontief model, stochastic model, optimization, cost function, open economy
Kozicka, Marta 1

1
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Kozicka, Marta. A novel approach to stochastic input-output modeling. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1155-1169. doi : 10.1051/ro/2018046. http://www.numdam.org/articles/10.1051/ro/2018046/

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