?
Dual approach for the solution of an advertising control problem
P. 25–39 .
Bykadorov I., Ellero A., Moretti E.
We consider a monopolistic firm that sells seasonal goods. The firm seeks the minimum of the total advertising expenditure during the selling period, given that some previously defined levels of goodwill and sales have to be reached at the end of the period. The only control allowed is on advertising while goodwill and sales levels are considered as state variables. More precisely we consider a linear optimal control problem for which the general position condition does not hold so that the application of Pontryagin's Maximum Principle may not be useful to determine a solution. Therefore the dual of the problem is studied and solved. Moreover, a necessary and sufficient condition for the feasibility of the primal problem is determined.
In book
Venice: Università Ca’Foscari di Venezia, Dipartimento di Matematica Applicata, 2001.
Parfenyev V., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 No. 1 Article 015104
Zermelo's navigation problem seeks the trajectory of minimal travel time between two points in a fluid flow. We address this problem for an agent -- such as a floating drone or active particle -- that is advected by a two-dimensional flow, self-propels at a fixed speed smaller than or comparable to the characteristic flow velocity, ...
Added: July 17, 2026
Khalifeh K., Afanasiev V., Мехатроника, автоматизация, управление 2026 № 8 С. 1–18
Theoretically, this work belongs to a fairly broad class of articles and books devoted to solving
control problems for dynamic objects with constraints on control actions and the Bolza functional.
The necessary conditions for the existence of optimal controls for a terminal differential game are
described by a two-point boundary value problem and the condition for choosing the ...
Added: May 19, 2026
Yefanov A., Человек 2026 Т. 37 № 2 С. 67–82
The article presents the practices of using deepfake technology in modern audiovisual media (television, cinema, internet) by referring to the most resonant cases. Appealing to the conducted by the author results of semi-structured expert interviews (n = 15) with media communications analysts, case study and socio-cultural modeling methods, ethical restrictions of such audiovisual solutions are ...
Added: April 23, 2026
Karpenko I., Философия. Журнал Высшей школы экономики 2026 Т. 10 № 1 С. 298–334
The article presents arguments in favor of a modified version of information structural realism. The main idea of the approach is to reject the concept of material reality as ontologically primary, instead it is proposed to consider information representations that are implemented in the form of models (scientific representations) as fundamental. The key difference from ...
Added: March 31, 2026
Islentyeva Anna, Zimmermann E., Zeitschrift fur Anglistik und Amerikanistik 2023 Vol. 71 No. 3 P. 265–292
This study aims to analyse the key discursive strategies employed in the representation of masculinity (and femininity) in contemporary food and beverage advertising in a sample of 35 print advertisements launched between 2000 and 2020. Food and beverages constitute utilitarian products, in contrast to hedonic products. This study analyses posters that promote products that fit ...
Added: March 11, 2026
Islentyeva Anna, Zimmermann E., Schützinger N. et al., Critical Discourse Studies 2024 Vol. 21 No. 4 P. 418–441
This study investigates the strategies employed in the representation of masculinity in a sample of 50 advertising campaigns launched between 1999 and 2020. The chosen posters advertise products targeted at men that fit into five categories: beverages, food, daily care products, male fragrances and clothing. ...
Added: March 9, 2026
Optimal Control for Stochastic Multi-agent Systems With the Use of Parallel Hybrid Genetic Algorithm
Akopov A. S., Beklaryan A., , in: Numerical Computations: Theory and Algorithms. 4th International Conference, NUMTA 2023, Pizzo Calabro, Italy, June 14–20, 2023, Revised Selected Papers, Part IVol. 14476.: Springer Publishing Company, 2025. P. 273–280.
In modern times, stochastic large-scale multi-agent systems (MAS) aimed at supporting socio-economic planning are being developed. There is a well known problem of a high computational complexity task of an optimal control for multiple agents’ behaviour in models of random interactions. In particular, agents (such as sellers and buyers) should make individualised decisions on establishing ...
Added: November 23, 2025
Afanasyeva O. V., Серегин Г. Е., Erofeeva Y., Труды по интеллектуальной собственности 2025 Т. 53 № 2 С. 67–77
The article examines the features of promoting betting companies related to socially risky categories of services. Currently, there is a widespread practice of using individualization tools of bookmakers in the official names of sports events, teams, and facilities. The authors identify analyze current advertising legislation and emerging law enforcement practices in terms of risk-based games ...
Added: October 30, 2025
Ronzhina M., Manita L., , in: Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts.: -, 2024. P. 25–26.
For some class of small-dimensional optimal control problems we found a family of extremals in the form of logarithmic spirals. These extremals reach the singular surface in a finite time, while the control performs an infinite number of rotations around the circle. ...
Added: October 8, 2025
Maksimenkova O. V., Сегал А. П., Вопросы философии 2025 № 10 С. 67–76
The study is devoted to the humans and artificial intelligence (AI) interaction. The authors view this interaction as mediated by interfaces that both simplify it and hide the real mechanisms of encoding and decoding messages (according to Shannon). In such a situation, the characteristics of the actor of communication are blurred, and it is not ...
Added: October 2, 2025
Afanasiev V., Автоматика и телемеханика 2025 № 10 С. 3–20
The optimal control of a system’s final state is a fundamental problem that constitutes the core of many optimization tasks. Such problems involve describing the dynamic object, specifying constraints on controls and states, and defining a quality functional, typically a Bolza functional. The necessary optimality conditions for synthesizing the corresponding controls are written as a canonical Euler–Lagrange system with specified ...
Added: September 24, 2025
Veselov S. V., КнигИздат, 2025.
25-й выпуск ведущего отечественного издания про развитие российской рекламной индустрии. Авторами выступают топ-менеджеры и ведущие аналитики крупнейшие рекламных структур, исследовательских организаций, индустриальных ассоциаций, а также представители профильных государственных структур. В Ежегодники анализируются основные проблемы современного рекламного рынка. ...
Added: September 15, 2025