Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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MAXIMIZATION OF THE DYNAMIC CRITERION OF CONSISTENCY OF BEHAVIOR AS A PARTIALLY BOOLEAN LINEAR PROGRAMMING PROBLEM

Authors

  • S. I. Noskov
  • A. S. Vergasov

Keywords:

linear regression model, loss function, method of least absolute deviations, dynamic criterion of behavior consistency, partial Boolean linear programming problem.

DOI:

https://doi.org/10.17654/0974165822003

Abstract

The paper proposes a method for solving the problem of simultaneous maximization of the dynamic criterion for the consistency of the behavior of the calculated and actual values of the dependent variable of the linear regression model and minimization of the loss function corresponding to the method of least absolute deviations. This method allows one to reduce such a problem to a partially Boolean linear programming problem.

Received: August 18, 2021
Accepted: November 16, 2021

References

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S. G. Valeev and H. Ya. Galliulin, To the question of usage of regressing modelling for analysis of productivity, Bulletin of the Ulyanovsk State Technical University 2(6) (1999), 55-59.

S. I. Noskov, Dynamic criterion for consistency of behavior when evaluating the adequacy of regression models, Bulletin of the Technological University 7(24) (2021), 103-106.

S. I. Noskov, Object modeling technology with unstable operation and data uncertainty, Federal State Public Educational Establishment of Higher Training Eastern Siberia Institute of the Ministry of the Interior of the Russian Federation, 110, Lermontov Street, Irkutsk, 1996, p. 320.

S. I. Noskov, Construction of econometric dependencies taking into account the criterion of consistency of behavior, Cybernet. Systems Anal. 1 (1994), 177-180.

S. I. Noskov, Generalized criterion of coordination of behavior in regression analysis, Information Technology and Mathematical Modeling in the Management of Complex Systems: Electronic Scientific Journal 1(1) (2018), 14-20.

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.

V. B. Golovchenko and S. I. Noskov, Estimation of an econometric model using statistical data and expert information, Automat. Remote Control 4-2(52) (1991), 542-548.

S. I. Noskov, A. S. Vergasov, V. O. Zayanchukovskaya and N. I. Gluhov, Interval regression models of a machine-building enterprise, IOP Conference Series: Materials Science and Engineering, Krasnoyarsk Science and Technology City Hall of the Russian Union of Scientific and Engineering Associations, Krasnoyarsk, Russia, 2020, 42026.

A. V. Lakeyev and S. I. Noskov, On the solution set of a linear equation with the right hand side and operator given by intervals, Siberian Math. J. 5(35) (1994), 957-966.

S. I. Noskov, Estimation of the parameters of linear regression by means of maximizing the number of coincidences of the signs of increases of the actual and calculated values of the dependent variable, Information Technology and Mathematical Modeling in the Management of Complex Systems: Electronic Scientific Journal 2(10) (2021), 109-111.

Published

2021-11-23

Issue

Section

Articles

How to Cite

MAXIMIZATION OF THE DYNAMIC CRITERION OF CONSISTENCY OF BEHAVIOR AS A PARTIALLY BOOLEAN LINEAR PROGRAMMING PROBLEM. (2021). Advances and Applications in Discrete Mathematics, 29(1), 25-30. https://doi.org/10.17654/0974165822003

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