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A metric approach for scheduling problems with minimizing the maximum penalty
Applied Mathematical Modelling. 2021. Vol. 89. No. 2. P. 1163–1176.
Lazarev A. A., Lemtyuzhnikova D., Werner F.
NP -hard scheduling problems with the criterion of minimizing the maximum penalty, e.g. maximum lateness, are considered. For such problems, a metric which delivers an upper bound on the absolute error of the objective function value is introduced. Taking the given instance of some problem and using the introduced metric, the nearest instance is deter- mined for which a polynomial or pseudo-polynomial algorithm is known. A schedule is constructed for this determined instance which is then applied to the original instance. It is shown how this approach can be applied to different scheduling problems.
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2021 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Ivchenko A., Shestoperov A. I., Fomina E. V., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
Makogon A., Oleg Sukhoroslov, , in: Supercomputing. 10th Russian Supercomputing Days, RuSCDays 2024, Moscow, Russia, September 23–24, 2024, Revised Selected Papers, Part I* 1.: Springer, 2025. P. 300–318.
Resource allocation and scheduling algorithms play a crucial role in operation of modern computing clusters. The algorithms used and their settings can significantly impact cluster utilization, application performance, and user experience. This area of research requires the use of simulators to quickly test a hypothesis or conduct comparative testing of different algorithms. This paper presents ...
Added: February 22, 2025
A. Lazarev, N. Pravdivets, Grishin E. et al., , in: 13th Multiconference on Control Problems (MCCP 2020) 6-8 October 2020, Saint Petersburg, RussiaVol. 1864.: IOP Publishing, 2021. Ch. 012057.
Added: December 16, 2022
Lazarev A. A., Lemtyuzhnikova D. V., Tyunyatkin A. A. et al., IFAC-PapersOnLine 2022 Vol. 55 No. 10 P. 2881–2886
This research extends the interpolation approach to approximating the objective function value for the minimization maximum lateness problem. The interpolation approach is defined using a special objective function Lmax(α), which is proven to be continuous and depends only on α transform coefficient. Such a function is proven to be monotonically increasing, and this property is ...
Added: December 5, 2022
Lazarev A. A., Lemtyuzhnikova D. V., Somov M. L., Mathematics 2022 Vol. 10 No. 5 P. 1–18
This paper is aimed at the problem of scheduling surgeries in operating rooms. To solve this problem, we suggest using some variation of the bin packing problem. The model is based on the actual operation of 10 operating rooms, each of which belongs to a specific department of the hospital. Departments are unevenly loaded, so ...
Added: December 5, 2022
Oleg Sukhoroslov, Maxim Gorokhovskii, Roman Ilgovskiy et al., , in: Материалы IV Международного семинара по информационным, вычислительным и управляющим системам для распределенных сред (ICCS-DE 2022).: Иркутск: ИДСТУ СО РАН, 2022. P. 79–96.
Resource management is a critical part of modern large-scale distributed systems and an active area of research. The diversity of systems, workloads and requirements have lead to many domain-specific problem statements, solutions and simulation tools proposed by researchers, which are hard to compare and reuse. In this paper, an overview of related resource management problems ...
Added: October 30, 2022
Mukosey A., Semenov A., Lobachevskii Journal of Mathematics 2022 Vol. 43 P. 873–881
In this paper we address the problem of node allocation for high performance computer systems based on the Angara interconnect with the torus topology. Most allocation strategies for the torus topologies assume redundancy, i.e. for a user job it is possible to allocate more nodes than required. We propose the new node allocation algorithm for ...
Added: October 26, 2022
Mylnikov L., Computers & Industrial Engineering 2022 Vol. 163 Article 107807
The problem investigated in the paper is very timely due to the necessity to increase planning and management efficiency of production systems as new innovation products come to the market on a regular basis. This task may be achieved if we upgrade the formalization level by the description of processes which a production system performs to create a ...
Added: October 5, 2022
Sukhoroslov O. V., The Journal of Supercomputing 2021 No. 77 P. 7989–8012
Workflows that consume and produce large amounts of data are being widely used in modern scientific computing and data processing pipelines. Scheduling of data-intensive workflows requires a careful management of data transfers between tasks, since network contention can significantly impact the workflow execution time. The paper presents and evaluates several scheduling algorithms, data transfer strategies ...
Added: October 29, 2021
Sukhoroslov O. V., Voloshinov V., Smirnov S., , in: Supercomputing. RuSCDays 2020. Communications in Computer and Information ScienceVol. 1331: 6th Russian Supercomputing Days, RuSCDays 2020, Moscow, Russia, September 21–22, 2020, Revised Selected Papers.: Switzerland: Springer, 2020. P. 634–646.
Added: October 29, 2021
Gribanov D., , in: Mathematical Optimization Theory and Operations Research: 20th International Conference, MOTOR 2021, Irkutsk, Russia, July 5–10, 2021, Proceedings.: Cham: Springer, 2021. P. 79–95.
Added: October 29, 2021
Tutelian S., Bankov D., Shmelkin D. et al., Sensors 2021 Vol. 21 No. 18 Article 6099
This paper studies the usage of orthogonal frequency division multiple access (OFDMA) for uplink transmissions in IEEE 802.11ax networks. OFDMA enables simultaneous multi-user transmissions in Wi-Fi, but its usage requires efficient resource allocation algorithms. These algorithms should be able to adapt to the changing channel conditions, including the frequency-selective fading. This paper presents an OFDMA ...
Added: October 12, 2021
Cham: Springer, 2021.
This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021.
The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. ...
Added: July 8, 2021
Toporkov V., Yemelyanov D., Anna Toporkova, Simulation Modelling Practice and Theory 2021 Vol. 107 No. February 2021 P. 102228
Abstract
In this work, an approach for a preference-based job-flow scheduling in Grid virtual organizations is proposed and studied. Virtual organizations provide uniform rules of the resources sharing and consumption and should respect individual and common preferences of its stakeholders: users, resource providers and administrators. In most cases, a virtual organization’s stakeholders pursue contradictory market-based goals, ...
Added: December 11, 2020
Gafarov E., Lazarev A. A., Werner F., Automation and Remote Control 2020 Vol. 81 No. 5 P. 853–868
In this paper, we consider the problem of minimizing total weighted tardiness for equal-length jobs with arbitrary release dates on a single machine. This problem is mentioned as a minimal open problem, see http://www2.informatik.uni osnabrueck.de/knust/class/dateien/classes/ein_ma/ein_ma, i.e., its complexity status is still open. The latest results on this problem were presented in the years 2000 and ...
Added: September 1, 2020