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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2019 Issue 8, Pages 109–128 (Mi at15318)

Control in Social Economic Systems

Dual forecasting algorithm for technological structural matrices in dynamic input-output models

P. I. Safonov

St. Cloud State University, St. Cloud, USA

Abstract: Based on the global Krotov successive improvement method, we propose a dual computational algorithm for a discrete optimal control problem corresponding to a convex large-scale quadratic programming problem with a separable functional that arises in the prediction of the direct costs (structural) matrix in dynamic input-output models. With decomposition, we are able to use a special form of the constraint matrix to reduce the problem dimension.

Keywords: input-output (intersectoral balance) model, direct costs (structural) matrix, balanced prediction, quadratic programming, decomposition, Krotov’s dual optimal control method.


Received: 14.02.2017
Revised: 25.07.2018
Accepted: 08.11.2018

DOI: 10.1134/S0005231019080099


 English version:
Automation and Remote Control, 2019, 80:8, 1455–1470

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© Steklov Math. Inst. of RAS, 2024