Keywords and phrases: input-output model, interval input-output model, interval system of linear algebraic equations, Boolean variables, linear Boolean programming problem.
Received: February 6, 2023; Accepted: March 4, 2023; Published: March 23, 2023
How to cite this article: S. I. Noskov and A. S. Vergasov, PC-solution and quasi-solution of the interval input-output balance model, Advances and Applications in Discrete Mathematics 38(1) (2023), 95-100. http://dx.doi.org/10.17654/0974165823021
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References:
[1] Y. A. Sudnik, Interval model of reliability of control systems of technical objects, Innovations on the Basis of Information and Communication Technologies 1 (2011), 244-247. [2] V. G. Litvintsev, N. V. Raevsky and A. V. Larchenko, Realization of the model for electronic consumption prediction based on the interval regression method, Izvestia Transsib. 3(39) (2019), 31-38. [3] T. A. Frolova, S. V. Frolov and D. S. Tulyakov, Solution of interval mathematical models of technological processes, Science and Education: Scientific Edition of the Moscow State Technical University, No. 9, 2012, 24 pp. [4] E. V. Chausova, Dynamic network model of stock management with interval non-stock loss and interval loss coefficients, Vestnik of Tomsk State University 293 (2006), 75-83. [5] N. V. Skibitsky and Y. S. Chekavinskaya, Reformation of the model of the management system in the conditions of interval independence, Bulletin of the Moscow Power Engineering Institute, MPEI Vestnik 1 (2012), 91-96. [6] S. I. Noskov and A. S. Vergasov, The interval model of input-output balance, Advances and Applications in Discrete Mathematics 35 (2022), 11-16. [7] E. A. Vorontsova, Linear tolerance problem for input-output models with interval data, Computational Technologies 2(22) (2017), 67-84. [8] S. P. Sharyi and N. I. Plyaskina, Interval methods in shaping the region’s development strategy based on the mobility model, in the Collection: Siberian Economy in the Global Challenges of the XXI Century, Collection of Articles, in 6 Volumes, edited by V. I. Suslov, N. V. Gorbacheva, Institute of Economics and Organization of Industrial Production SB RAS, Novosibirsk, 2018, pp. 282-295. [9] A. V. Lakeyev and S. I. Noskov, A description of the set of solutions of a linear equation with interval defined operator and right-hand side, Russian Acad. Sci. Dokl. Math. 3(47) (1993), 518-523. [10] V. Kreinovich, A. V. Lakeyev and S. I. Noskov, Approximate linear algebra is intractable, Linear Algebra and its Applications 1-3(232) (1996), 45-54. [11] S. I. Noskov, Point characterization of solution sets of an interval system of linear algebraic equations, Information Technology and Mathematical Modeling in the Management of Complex Systems 1 (2018), 8-13. [12] S. I. Noskov and A. V. Lakeev, MS-solutions and quasi-solutions of interval system of linear algebraic equations, Bulletin of St. Petersburg University, Applied Mathematics, Informatics, Control Processes 3(17) (2021), 262-276.
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