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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
Citation:
P. I. Safonov, “Dual forecasting algorithm for technological structural matrices in dynamic input-output models”, Avtomat. i Telemekh., 2019, no. 8, 109–128; Autom. Remote Control, 80:8 (2019), 1455–1470
Linking options:
https://www.mathnet.ru/eng/at15318 https://www.mathnet.ru/eng/at/y2019/i8/p109
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Statistics & downloads: |
Abstract page: | 168 | Full-text PDF : | 26 | References: | 40 | First page: | 13 |
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