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Методы оптимальных решений, издание 3-е, исправленное и дополненное
Т. 1: Общие положения. Математическое программирование.
M. :
-, 2012.
Sokolov A. V., Tokarev V. V.
The manual is devoted to the mathematical theory and methods of optimization applied to administrative decisions in economy. Volume 1 described approaches to mathematical modeling of management problems in economy and methods of mathematical programming tasks solution. Besides strict mathematical proofs, there are directing reasons, which is sometimes enough for understanding. There are many economic examples and exercises with detailed solutions. Readers are supposed to know the bases of the mathematical analysis and linear algebra, though necessary data from these courses in a concise form are provided in appendices.
Research target:
Mathematics
Economics and Management
Sociology (including Demography and Anthropology
Language:
Russian
Keywords: математическое моделированиеметоды оптимизацииEconomical and mathematical modelingnonlinear programmingнелинейное программированиематематическое программированиеmathematical programmingлинейное программированиеlinear programmingдискретное программированиеoptimization methodsdiscrete programming
Svetlana Grigorieva, Narmin Isaeva, Aliya Azizova et al., Journal of Corporate Finance Research 2026 Vol. 20 No. 1 P. 75–84
This paper identifies the determinants of green bonds on global markets, China and Russia and evaluates the hedging effect of these instruments. We contribute to the existing literature by (1) studying the emerging markets such as Russia and China, (2) providing comparative analysis of the impact of identical factors on green bond yields on global, ...
Added: August 29, 2026
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Tikhomirova A., Professional Discourse & Communication 2026 Vol. 8 No. 3 P. 66–84
Given China’s rise as the world’s leading automotive producer and the radical
transformation of the Russian market, societal acceptance of new market entrants remains a dif
ficult communicative task. Against the backdrop of growing sales and persistent consumer am
bivalence, this study examines how Russian consumers discursively construct, challenge, and
renegotiate the legitimacy of Chinese automobile brands in online ...
Added: August 28, 2026
Финагин М. И., Мирошниченко Д. В., Прикладная эконометрика 2026 Т. 82 С. 105–123
We construct a monthly indicator and produce a nowcast of nominal GDP in Russia using operational
data. The data used are bank statements and the ruble price of Russian oil. This approach
allows for the nowcast of nominal GDP ahead of official statistics by 3–5 months. Nominal GDP
data is published by Rosstat only on a quarterly basis ...
Added: August 28, 2026
Simachev Y. V., Ruzhanskaya L., Саблин К. С., ЭКО 2026 № 4 С. 55–82
Energy security concerns, environmental constraints, and competition
with other energy sources—combined with the disruption of established global value
chains—are forcing Russian coal companies to undergo transformation. Based on an
analysis of statistical data and the results of in-depth interviews with experts conducted
from August 2024 to January 2025, this study identifies the main challenges facing
the development of Russia’s coal ...
Added: August 28, 2026
Kazun A., Девятников В. Ю., Белов М. Д., Вопросы теоретической экономики 2026 Т. 3 № 32 С. 115–135
Как понять, хорош адвокат или нет? В данной статье мы описываем методологию, позволяющую измерять качество юридической помощи через разницу между тем, что предсказывает модель машинного обучения по объективным характеристикам дела, и тем, чем дело закончилось в реальности. Мы исходим из предпосылки, что если у адвоката дела стабильно заканчиваются лучше ожидаемого, то он делает свою работу хорошо. ...
Added: August 28, 2026
Avdoshin S.M., Patrushev K. A., Proceedings of the Institute for System Programming of the RAS 2026 No. 4 часть 2 P. 245–256
The cardinality-constrained Markowitz problem is NP-hard and traditionally solved with commercial MIQP solvers. Following the 2022 export restrictions that rendered both commercial MIQP software and cloud quantum platforms (IBM Quantum, D-Wave Leap) inaccessible from the Russian Federation, practitioners require open-source alternatives. This paper systematically compares three solver families for the discrete mean-variance problem: two open-source ...
Added: August 27, 2026
Zaikin A., Vlasenko D., Zakharov D. et al., Diagnostics 2026 Vol. 16 No. 17 P. 1–15
Background/Objectives: Synolitic graphs (SGs) were developed for task-based fMRI, where
edge weights encode the discriminative power of pairwise regional features; whether similar
information can be recovered from resting-state data was untested. We benchmarked
SGs for autism spectrum disorder (ASD) classification using the multisite ABIDE-I dataset
(871 subjects: 403 subjects with ASD, 468 typical controls; 17 sites; CC200 atlas). Methods:
Using ...
Added: August 27, 2026
Melnikov I., Pelinovsky E., Nonlinear Dynamics 2026 No. 114 Article 934
Pyramidal solitons (solitons with more than two inflection points) of the generalized Korteweg–de Vries (KdV) equation are investigated. Necessary and sufficient conditions for the existence of such structures are presented. Within the framework of the generalized Gardner equation — the simplest model that admits pyramidal solitons as solutions — it is shown that these solutions ...
Added: August 27, 2026
Melnik D. V., Вопросы теоретической экономики 2026 № 3 С. 65–82
Luigi Einaudi (1874–1961) was a prominent economist who made theoretical contributions to the Italian school of public finance, an influential professor, a brilliant publicist, and an outstanding statesman who served as president of the nation from 1948 to 1955, and whose activities laid the foundations for the institution of the presidency of the Italian Republic. ...
Added: August 27, 2026
Тула: Тульский государственный педагогический университет им. Л.Н. Толстого, 2025.
Сборник содержит материалы, представленные на XXIV Международной конференции «Алгебра, теория чисел, дискретная геометрия и многомасштабное моделирование: современные проблемы, приложения и проблемы истории», посвящённой 110-летию со дня рождения академика Юрия Владимировича Линника и 110-летию со дня рождения профессора Андрея Борисовича Шидловского и 80-летию со дня рождения профессора Геннадия Ивановича Архипова. Материалы конференции будут полезны научным работникам, ...
Added: August 27, 2026
Lysenok N., Финансовый журнал 2026 Т. 18 № 4 С. 45–63
The article discusses the application of clustering methods to form an optimal investment portfolio
that allows the investor to achieve an effective risk-reward ratio. Three popular clustering methods,
K-Means, MeanShift, and DBSCAN, are examined. The article focuses on the DBSCAN clustering method
and highlights its advantages over other clustering methods in the context of financial data analysis.
DBSCAN is ...
Added: August 27, 2026
Panova A., Ostrovnaya M., Demokratizatsiya: The Journal of Post-Soviet Democratization 2026 Vol. 34 No. 2 P. 199–226
Local authorities can crucially affect the economic performance of public organizations. Using data on the Moscow region, we analyze the unique case of a huge, socio-economically homogeneous region with differing political environments. We examine how the political characteristics of local authorities influence state schools’ decisions on whether to outsource non-core activities, in this case food ...
Added: August 27, 2026
Шарко О. В., Шарко Е.Р., Маркетинг в России и за рубежом 2026 Т. 2 № 172 С. 71–79
The paper analyses scholarly understanding of consumer behaviour in e-commerce by synthesizing recent advances in digital marketing, the dynamics of online retail platforms, and empirical models of customer interaction. The research outcomes include a detailed comprehension of the mechanisms underlying customer loyalty, empirical data on the multidimensional factors influencing platform preferences, and methodological innovations applicable ...
Added: August 26, 2026
Nesterenko A., Чирский В. Г., Матвеев В. Ю., Чебышевский сборник 2026 Т. 27 № 2 С. 118–127
The article presents the results of a practical study of the statistical properties of some sequences that are values of functions of a special type. ...
Added: August 26, 2026
Zhuravleva T., Afanasev K., Engelmann J. et al., / Series "SSRN Working Paper Series". 2026.
Extortionary ("harassment") bribery can persist even when widely condemned, consistent with a coordination problem sustained by beliefs about what others do and what others consider acceptable. We study whether a minimal institutional featurethe presence of a third-party monitor empowered to punish-shifts (i) normative expectations about extortion and compliance and (ii) empirical expectations about their prevalence. ...
Added: July 22, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Mishin A., Guerrieri L., Kim J., / Series 2026-042 "Finance and Economics Discussion Series (FEDS)". 2026.
Within narrowly defined industries, the most productive firms produce far more than the least productive from the same inputs, and this dispersion widens in downturns. We build a tractable representative-agent model in which financial frictions—adverse selection and moral hazard—make firms sort endogenously into lenders, strategic defaulters, and producers. As credit conditions vary, the resulting misallocation ...
Added: June 28, 2026
Власов С. А., Nevalennyi M., Сафиулин Р. Р. et al., / Банк России. Серия Аналитическая записка "Материалы Банка России". 2026.
В аналитической записке обсуждается долгосрочно устойчивый уровень цены на российскую нефть. Это тот уровень, к которому цена нефти, вероятнее всего, будет тяготеть в долгосрочной перспективе. Потребность в его определении возникает по нескольким причинам. Во-первых, цена на нефть остается одним из ключевых экономических показателей российской экономики, определяющих экспорт, обменный курс рубля, прибыль, доходы и расходы бюджета, ...
Added: June 27, 2026
Глазова А. М., Nevalennyi M., Синяков А. А., / Банк России. Серия Препринты Банка России "Серия докладов об экономических исследованиях". 2025. № 154.
The paper proposes a graphical model of a small open economy. The dynamics of the graphical model is then illustrated using impulse responses from the corresponding formal semi-structural model (QPM model). The authors have several goals in preparing this description of the graphical macroeconomic model. The first goal of the paper is to present an adapted ...
Added: June 27, 2026
Mishin A., Guerrieri L., Canzoneri M. et al., / Series 2026-042 "Finance and Economics Discussion Series (FEDS)". 2026.
Added: June 27, 2026