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Mean values: a multicriterial analysis
Ch. 17. P. 257–270.
Podinovskiy V. V., Nelyubin A.
Keywords: многокритериальная оптимизацияmulticriteria optimizationpreference relationотношение предпочтениясредние величинынедоминируемые точкиmean valuesnondominated points
Publication based on the results of:
In book
Cham: Springer, 2023.
Серебренников Д. А., Belov A. V., Информационные технологии и вычислительные системы 2026 № 3 С. 157–169
В условиях роста стоимости энергоресурсов и необходимости повышения энергоэффективности производственных процессов особую актуальность приобретает задача оптимизации энергопотребления промышленных предприятий. В данной работе рассматривается подход к управлению энергозатратами машиностроительного предприятия на основе методов многокритериальной оптимизации. Постановка задачи включает несколько целевых функций: минимизацию энергопотребления, минимизацию стоимости электроэнергии с учётом тарифных ограничений и максимизацию производственной эффективности. Для решения ...
Added: October 5, 2026
Gusev D., Sviridova O. A., Shidlovskii I. et al., Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2025 Vol. 19 No. 1 P. 40–50
In today’s inventory management, there is a need to optimize new models in order to select the best solution to ensure order fulfillment. These models must take into account various uncertainties, as well as the concept of time value of money. At the same time, it is important to note that in practice, appropriate solutions ...
Added: December 11, 2025
Brodetskiy G., Gerami V., Gusev D. et al., М.: ИНФРА-М, 2027.
This textbook presents methodological materials related to supply chain optimization. This textbook addresses solutions in the form of specific aspects associated with the corresponding optimization procedures. Specifically, it examines the attributes and specifics of such problems, which require consideration of the specifics of adapting multi-criteria choices to the decision maker's preferences. Special modifications of traditional ...
Added: October 10, 2025
Molostvov V., Advances in Systems Science and Applications 2025 Vol. 25 No. 1 P. 1–11
A two-criteria vector optimization problem – finding Pareto-optimal solutions in linear systems with interval uncertainty of coefficients – is considered. The problem of resource allocation to multiple activities is investigated. The uncertainty-adjusted income is a bilinear function, linear by strategy under fixed uncertainty and by uncertain parameters under fixed strategy. Guaranteed income is a linear ...
Added: August 26, 2025
Brodetskiy G., Шидловский И. Г., Гусев Д. А. et al., Дискретный анализ и исследование операций 2025 № 1
В задачах управления запасами сегодня возникает необходимость оптимизации новых модифицированных моделей для выбора наилучших решений по обеспечению поставок заказов. Особенностью таких моделей является требование учета различных неопределенностей и концепции временной ценности денег. При этом в формате таких задач надо учитывать что зачастую соответствующие решения на практике являются именно многокритериальными. Это обусловливается особенностями цепей поставок.
Авторами разработан ...
Added: March 25, 2025
M. L. Blank, Polyakov M. O., Problems of Information Transmission 2024 Vol. 60 No. 1 P. 53–70
A new and relatively elementary approach is proposed for solving
the problem of fair division of a continuous resource (measurable space,
pie, etc.) between several participants, the selection criteria
of which are described by charges (signed measures).
The setting of the problem with charges is considered for
the first time. The problem comes down to analyzing the properties
of the trajectories ...
Added: January 16, 2025
Markiewicz P., Научный вестник ГосНИИ ГА 2020 № 30 С. 58–66
This article considers the problem of choosing a wing airfoil, taking into account the multi-purpose nature of light civilian aircraft. For a given class of aircraft, it is assumed that the flight is performed at airspeed less than the critical Mach number, this allows to omit the effect of compressibility on airfoil performance. We validate ...
Added: September 12, 2024
Akopov A. S., Beklaryan A., Экономика и математические методы 2023 Т. 59 № 3 С. 117–131
This article presents a new simulation model of a multi-agent socio-economic system (MA-SES), in which individual, including interproduct interactions are implemented. Within the MA-SES, the models of agent-producers and agents-consumers behaviour with their objective functions are studied. In particular, producers follow their own production strategies by choosing the moments for introducing new fixed assets and ...
Added: May 25, 2024
Ebraheem A., Ivanov I., Informatics and Automation (SPIIRAS Proceedings) 2024 Vol. 23 No. 2 P. 377–406
lopers and system architects to plan and implement systems of the Internet of Things and Industrial Internet of Things effectively. The primary objective of this work is to automate the design process of Industrial Internet of Things systems while optimizing the quality of service parameters, battery life, and cost. To achieve this goal, a general ...
Added: April 5, 2024
Nelyubin A. P., Podinovskiy V. V., Control Sciences 2024 No. 1 P. 13–17
A new approach to defining mean values based on the ideas of multicriteria optimiza-tion was proposed and developed previously; see the papers [4] and [5]. The distances between the current point and the sample points were treated as components of a vector estimate. The con-ventional approach to defining mean values involves the scalarization of vector ...
Added: March 30, 2024
Нелюбин А. П., Podinovskiy V. V., Проблемы управления 2024 № 1 С. 17–22
В статьях авторов («Проблемы управления» 2020, № 5 и 2001, № 2) предложен и развит новый подход к определению средних величин, исследованы свойства введенных средних предложены методы их построения. В данной статье, которая является непосредственным их продолжением, представлен точный численный метод построения множества одного из видов таких средних Он проиллюстрирован расчетным примером. ...
Added: March 13, 2024
Sergey V. Zykov, Singapore: Springer, 2024.
The book focuses on modeling real-world crisis management in digital product development. This includes models and methods for forecasting, responding, and agile engineering/managing for sustainable product development. This book suggests an approach that contains principles, formal models, and semi-formal practice-oriented methods, patterns and techniques to efficiently manage these crises and provide sustainable development. The book ...
Added: March 10, 2024
Vladislav V. Podinovski, Nelyubin A., Journal of Multi-Criteria Decision Analysis 2024 Vol. 31 No. 1-2 Article e1824
In this paper, we introduce new notions of mean values based on ideas of multicriteria optimization. The distances between the current point to all points in the sample are regarded as elements of a vector estimate. Such vector estimates are usually scalarized, e.g., by taking the sum of all components. In contrast, we introduce preference ...
Added: January 13, 2024