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Erschienen in: Journal of Computer and Systems Sciences International 5/2022

01.10.2022 | COMPUTER METHODS

Some Modifications of Integer Optimization Problems with Uncertainty and Risk

verfasst von: M. A. Gorskii, A. V. Mishchenko, L. G. Nesterovich, M. A. Khalikov

Erschienen in: Journal of Computer and Systems Sciences International | Ausgabe 5/2022

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Abstract

This paper describes various approaches to formalizing a certain class of limited resource management problems, developing numerical algorithms for selecting an optimal integer solution, and evaluating its efficiency in using it in relation with the stock market. We propose integer models and methods for assessing these models under the deterministic or interval-type future price of assets. Also, we present stability analysis methods for the optimal solution. The optimal choice solutions based on the classical portfolio theory and the author’s concept are compared. Based on the comparison, it is concluded that the approach and numerical method proposed below are correct and are more efficient to apply to these optimization problems than the traditional methods and algorithms.

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Literatur
1.
Zurück zum Zitat W. C. Sharpe, J. W. Bailey, and G. J. Alexander, Investments (Prentice Hall, Englewood Cliffs, 1998). W. C. Sharpe, J. W. Bailey, and G. J. Alexander, Investments (Prentice Hall, Englewood Cliffs, 1998).
2.
Zurück zum Zitat N. N. Trenev, Financial Management (Finansy Statistika, Moscow, 1999) [in Russian]. N. N. Trenev, Financial Management (Finansy Statistika, Moscow, 1999) [in Russian].
3.
Zurück zum Zitat A. S. Shapkin, Economic and Financial Risks (Yuniti, Moscow, 2003) [in Russian]. A. S. Shapkin, Economic and Financial Risks (Yuniti, Moscow, 2003) [in Russian].
4.
Zurück zum Zitat A. M. Antikol’, “Hierarchical optimization of portfolio investments taking into account the discreteness factor,” in The Role and Place of Civilized Entrepreneurship in the Russian Economy, Uch. Zap. RAP, No. 23, 6–16 (2010). A. M. Antikol’, “Hierarchical optimization of portfolio investments taking into account the discreteness factor,” in The Role and Place of Civilized Entrepreneurship in the Russian Economy, Uch. Zap. RAP, No. 23, 6–16 (2010).
5.
Zurück zum Zitat M. A. Khalikov and D. A. Maksimov, “Multistage optimization of a non-institutional investor’s assents portfolio,” Putevod. Predprin., No. 33, 211–219 (2017). M. A. Khalikov and D. A. Maksimov, “Multistage optimization of a non-institutional investor’s assents portfolio,” Putevod. Predprin., No. 33, 211–219 (2017).
6.
Zurück zum Zitat D. A. Novikov, Control Theory of Organizational Systems (MPSI, Moscow, 2005) [in Russian]. D. A. Novikov, Control Theory of Organizational Systems (MPSI, Moscow, 2005) [in Russian].
7.
Zurück zum Zitat A. V. Mishchenko, Methods and Models of Investment Management in Logistics Systems (INFRA-M, Moscow, 2016) [in Russian]. A. V. Mishchenko, Methods and Models of Investment Management in Logistics Systems (INFRA-M, Moscow, 2016) [in Russian].
8.
Zurück zum Zitat Mathematical Foundations of Project Control, Ed. by V. N. Burkov (Vyssh. Shkola, Moscow, 2005) [in Russian]. Mathematical Foundations of Project Control, Ed. by V. N. Burkov (Vyssh. Shkola, Moscow, 2005) [in Russian].
9.
Zurück zum Zitat A. V. Mishchenko and M. A. Khalikov, “Allocation of limited resources in the problem of optimizing the production activity of an enterprise,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 6 (1991). A. V. Mishchenko and M. A. Khalikov, “Allocation of limited resources in the problem of optimizing the production activity of an enterprise,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 6 (1991).
10.
Zurück zum Zitat A. V. Mishchenko and E. V. Mikheeva, Methods for Assessing the Effectiveness of Management of the Production and Financial Activities of an Enterprise (INFRA-M, Moscow, 2019) [in Russian]. A. V. Mishchenko and E. V. Mikheeva, Methods for Assessing the Effectiveness of Management of the Production and Financial Activities of an Enterprise (INFRA-M, Moscow, 2019) [in Russian].
11.
Zurück zum Zitat M. A. Gorskii, “A theoretical approach and a numerical method for finding a quasi-optimal solution to a nonlinear high-dimensional discrete problem,” Ekon. Zh. Vyssh. Shkoly Ekon. 23, 465–482 (2019). M. A. Gorskii, “A theoretical approach and a numerical method for finding a quasi-optimal solution to a nonlinear high-dimensional discrete problem,” Ekon. Zh. Vyssh. Shkoly Ekon. 23, 465–482 (2019).
12.
Zurück zum Zitat A. A. Ageev, “A polynomial-time algorithm for the facility location problem with uniform hard capacities on path graph,” in Discrete Optimization Methods in Production and Logistics, Proceedings of the 2nd International Workshop, Omsk, 2004, pp. 28–32. A. A. Ageev, “A polynomial-time algorithm for the facility location problem with uniform hard capacities on path graph,” in Discrete Optimization Methods in Production and Logistics, Proceedings of the 2nd International Workshop, Omsk, 2004, pp. 28–32.
13.
Zurück zum Zitat N. K. Vereshchagin and A. Shen’, Lectures on Mathematical Logic and the Theory of Algorithms. Part 3. Computable Functions (MTsNMO, Moscow, 2008) [in Russian]. N. K. Vereshchagin and A. Shen’, Lectures on Mathematical Logic and the Theory of Algorithms. Part 3. Computable Functions (MTsNMO, Moscow, 2008) [in Russian].
14.
Zurück zum Zitat M. G. Furugyan, “Computation planning in multiprocessor real time automated control systems with an additional resource,” Autom. Remote Control 76, 487 (2015).MathSciNetCrossRef M. G. Furugyan, “Computation planning in multiprocessor real time automated control systems with an additional resource,” Autom. Remote Control 76, 487 (2015).MathSciNetCrossRef
15.
Zurück zum Zitat E. O. Kosorukov and M. G. Furugyan, “Resource allocation algorithms in multiprocessor systems with unfixed parameters,” in Some Algorithms for Scheduling Computations and Organizing Control in Real-Time Systems (VTs RAN, Moscow, 2011), pp. 40–51 [in Russian]. E. O. Kosorukov and M. G. Furugyan, “Resource allocation algorithms in multiprocessor systems with unfixed parameters,” in Some Algorithms for Scheduling Computations and Organizing Control in Real-Time Systems (VTs RAN, Moscow, 2011), pp. 40–51 [in Russian].
16.
Zurück zum Zitat E. O. Kosorukov and M. G. Furugyan, “Some resource allocation algorithms in multiprocessor systems,” Vestn. Mosk. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 34–37 (2009). E. O. Kosorukov and M. G. Furugyan, “Some resource allocation algorithms in multiprocessor systems,” Vestn. Mosk. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 34–37 (2009).
18.
Zurück zum Zitat 'Smart Contracts’: Turing Completeness and Reality. https://ethclassic.ru/2016/10/21/turing-completeness-reality/. Accessed March 13, 2018. 'Smart Contracts’: Turing Completeness and Reality. https://​ethclassic.​ru/​2016/​10/​21/​turing-completeness-reality/​.​ Accessed March 13, 2018.
19.
Zurück zum Zitat M. A. Khalikov, “Discrete optimization of plans for improving the reliability of the functioning of economic systems,” in Financial Mathematics (Mosk. Gos. Univ., Moscow, 2001), pp. 281–295 [in Russian]. M. A. Khalikov, “Discrete optimization of plans for improving the reliability of the functioning of economic systems,” in Financial Mathematics (Mosk. Gos. Univ., Moscow, 2001), pp. 281–295 [in Russian].
20.
Zurück zum Zitat Information Portal about Investments. Exchanges and Stock Trading. http://investud.ru/birzhevaya-komissiya.html. Accessed November 20, 2021. Information Portal about Investments. Exchanges and Stock Trading. http://​investud.​ru/​birzhevaya-komissiya.​html.​ Accessed November 20, 2021.
Metadaten
Titel
Some Modifications of Integer Optimization Problems with Uncertainty and Risk
verfasst von
M. A. Gorskii
A. V. Mishchenko
L. G. Nesterovich
M. A. Khalikov
Publikationsdatum
01.10.2022
Verlag
Pleiades Publishing
Erschienen in
Journal of Computer and Systems Sciences International / Ausgabe 5/2022
Print ISSN: 1064-2307
Elektronische ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230722050070

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