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Coevolution of Opinions and Ties in a Social Network: A Differential Equations Approach 5

Coevolution of Opinions and Ties in a Social Network: A Diff...

引用

5th International Conference on Control systems, mathematical Modeling, Automation and Energy Efficiency, SUMMA 2023

作者： Gubanov, Alexander V. Goiko, Vyacheslav Saifullin, Eduard Kozitsin, Ivan V. Moscow Institute of Physics and Technology Department of Mathematical Modelling of Compex Systems and Optimization Dolgoprudny Russia Tomsk State University Laboratory of Applied Big Data Analysis Tomsk Russia Institute of Control Sciences of RAS Laboratory of Active Systems Moscow Russia

In this paper we propose an original model, describing a coevolution of ties and opinions in large-scale social networks. The model is a system of determined differential equations for the mean values of some network ... 详细信息

ISBN: (纸本)9798350309126

关键词： Differential equations

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Evaluation of the efficiency of the use of electricity storage systems in the balancing group and the small distribution system 2

Evaluation of the efficiency of the use of electricity stora...

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2nd IEEE KhPI Week on Advanced Technology, KhPI Week 2021

作者： Blinov, Ihor Trach, Ihor Parus, Yevhen Khomenko, Viktor Kuchanskyy, Vladislav Shkarupylo, Vadym Institute of Electrodynamics of NAS of Ukraine Department of Electrical Energy Objects and Systems Modeling Kyiv Ukraine VAR Energy Project Department Kyiv Ukraine Institute of Electrodynamics of NAS of Ukraine Department of Optimization Electrical Power Systems Kiev Ukraine Institute for Modelling in Energy Engineering of NAS of Ukraine Department of Mathematical and Computer Modelling Kiev Ukraine

ISBN: (纸本)9781665412056

mathematical models for evaluating the efficiency of the energy storage system (ESSs) use in regulating the modes of a developing small distribution system are proposed. An analysis of the operation of a small distribution system (SDSs) including a formed group of four ESSs in the case of increasing the SDS load is carried out. A standard test IEEE 33-node 12.6 kV network has been used as a base model. The development of an electrical network is modeled by a 1.4-fold increase in the load in periods of maximum loads compared to the rated load capacity. A target cost function has been formed based on the cost of purchasing electricity by the balancing group and investment costs for the installation of the ESSs, provided that the argument is the capacities of the ESSs and an electricity storage period. The optimization is performed for a given real daily electricity price schedule and a daily load capacity schedule. The rated lower and upper voltage values in the network nodes are defined as constraints. © 2021 IEEE.

关键词： Cost functions

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Coevolution of Opinions and Ties in a Social Network: a Differential Equations Approach

Coevolution of Opinions and Ties in a Social Network: a Diff...

引用

International Conference on Control systems, mathematical modelling, Automation and Energy Efficiency (SUMMA)

作者： Alexander V. Gubanov Vyacheslav Goiko Eduard Saifullin Ivan V. Kozitsin Department of Mathematical Modelling of Compex Systems and Optimization Moscow Institute of Physics and Technology Dolgoprudny Russia Laboratory of Applied Big Data Analysis Tomsk State University Tomsk Russia Laboratory of Active Systems Institute of Control Sciences of RAS Moscow Russia

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Towards a rigorous formulation of the space mapping technique for engineering design

Towards a rigorous formulation of the space mapping techniqu...

引用

IEEE International Symposium on Circuits and systems (ISCAS)

作者： S. Koziel J.W. Bandler K. Madsen Simulation Optimization Systems Research Laboratory ECE Department McMaster University Hamilton Canada Informatics and Mathematical Modelling Technical University of Denmark Lyngby Denmark

The paper deals with the space mapping (SM) approach to engineering design optimization. We attempt a theoretical justification of methods that have already proven efficient in solving practical problems, especially in the RF and microwave area. A formal definition of optimization algorithms using surrogate models based on SM technology is given. Convergence conditions for the chosen subclass of algorithms are discussed and explained using a synthetic example, the so-called generalized cheese-cutting problem. An illustrative, circuit-theory based example is also considered.

关键词： Design engineering Samarium Design optimization Electromagnetic modeling Space technology Radio frequency Microwave theory and techniques optimization methods Computational modeling Iterative algorithms

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Prototype for the Model-Based Assets and Liabilities Management Support System

Prototype for the Model-Based Assets and Liabilities Managem...

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International Conference on Control, Decision and Information Technologies (CoDIT)

作者： Aleksandra Zhukova Anna Flerova Maxim Tarasenko Alexey Chernov Ruslan Gabbasov Department of Mathematical Modelling of Economic Systems Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences Moscow Russia Department of Mathematical Modelling of Economic Systems FRC CSC RAS Moscow Russia Laboratory of Numerical Methods of Applied Structural Optimization MIPT Moscow Russia

ISBN: (数字)9798350373974

ISBN: (纸本)9798350373981

This paper presents the prototype of the instrument that supports the control of assets and liabilities by a bank using the mathematical computations. The specifics of the approach lies in the application of the recent advances in the control theory to provide the strategic analysis for various planning horizons and scenarios of external and internal factors.

关键词： Instruments Computational modeling Prototypes mathematical models Planning Control theory Information technology

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Quality assessment of coarse models and surrogates for space mapping optimization

Quality assessment of coarse models and surrogates for space...

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作者： Koziel, Slawomir Bandler, John W. Madsen, Kaj Simulation Optimization Systems Research Laboratory Department of Electrical and Computer Engineering McMaster University Hamilton ON L8S 4K1 Canada Bandler Corporation Dundas ON L9H 5E7 Canada Informatics and Mathematical Modelling Technical University of Denmark Lyngby DK-2800 Denmark

One of the central issues in space mapping optimization is the quality of the underlying coarse models and surrogates. Whether a coarse model is sufficiently similar to the fine model may be critical to the performance of the space mapping optimization algorithm and a poor coarse model may result in lack of convergence. Although similarity requirements can be expressed with proper analytical conditions, it is difficult to verify such conditions beforehand for real-world engineering optimization problems. In this paper, we provide methods of assessing the quality of coarse/surrogate models. These methods can be used to predict whether a given model might be successfully used in space mapping optimization, to compare the quality of different coarse models, or to choose the proper type of space mapping which would be suitable to a given engineering design problem. Our quality estimation methods are derived from convergence results for space mapping algorithms. We provide illustrations and several practical application examples. © Springer Science+Business Media, LLC 2007.

关键词： optimization

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Enhanced surrogate models for statistical design exploiting space mapping technology

Enhanced surrogate models for statistical design exploiting ...

引用

Microwave, MTT-S International Symposium

作者： S. Koziel J.W. Bandler A.S. Mohamed K. Madsen Simulation Optimization Systems Research Laboratory Department of Electrical and Computer Engineering McMaster University Hamilton ONT Canada McMaster University Hamilton ONT Canada Informatics and Mathematical Modelling Technical University of Denmark Denmark

We present advances in microwave and RF device modeling exploiting space mapping (SM) technology. We propose new SM modeling formulations utilizing input mappings, output mappings, frequency scaling and quadratic approximations. Our aim is to enhance circuit models for statistical analysis and yield-driven design. We illustrate our results using a capacitively-loaded two-section impedance transformer, a single-resonator waveguide filter and a six-section H-plane waveguide filter.

关键词： Space technology Samarium Electromagnetic waveguides Statistical analysis Microwave filters Circuit simulation Microwave devices Radio frequency Microwave technology Impedance

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Space mapping with adaptive response correction for microwave design optimization

Space mapping with adaptive response correction for microwav...

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作者： Koziel, Slawomir Bandler, John W. Madsen, Kaj School of Science and Engineering Reykjavík University Reykjavík IS-103 Iceland Simulation Optimization Systems Research Laboratory Department of Electrical and Computer Engineering McMaster University Hamilton ON L8S 4K1 Canada Bandler Corporation Dundas ON L9H 5E7 Canada Informatics and Mathematical Modelling Technical University of Denmark DK-2800 Lyngby Denmark

Output space mapping is a technique introduced to enhance the robustness of the space-mapping optimization process in case the space-mapped coarse model cannot provide sufficient matching with the fine model. The technique often works very well;however, in some cases it fails. Especially in the microwave area where the typical model response (e.g., |S21|) is a highly nonlinear function of the free parameter (e.g., frequency), the output spacemapping correction term may actually increase the mismatch between the surrogate and fine models for points other than the one at which the term was calculated, as in the surrogate model optimization process. In this paper, an adaptive response correction scheme is presented to work in conjunction with space-mapping optimization algorithms. This technique is designed to alleviate the difficulties of the standard output space mapping by adaptive adjustment of the response correction term according to the changes of the space-mapped coarse model response. Examples indicate the robustness of our approach. © 2009 IEEE.

关键词： Mapping

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Space mapping: the state of the art [circuit simulation, CAD]

Space mapping: the state of the art [circuit simulation, CAD...

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SBMO/IEEE MTT-S International Conference on Microwave and Optoelectronics (IMOC)

作者： J.W. Bandler Q.S. Cheng S.A. Dakroury A.S. Mohamed M.H. Bakr K. Madsen J. Sondergaard Simulation Optimization Systems Research Laboratory and Department of Electrical and Computer Engineering McMaster University Hamilton ONT Canada Bandler Corporation Dundas ON Canada Department of Electrical and Computer Engineering McMaster University Hamilton ON Canada Informatics and Mathematical Modelling Technical University of Denmark Lyngby Denmark

We review the space mapping (SM) technique and the SM-based surrogate (modeling) concept and their applications in engineering design optimization. The aim of SM is to achieve a satisfactory solution with a minimal number of computationally expensive "fine" model evaluations. SM procedures iteratively update and optimize surrogates based on a fast physically-based "coarse" model. Parameter extraction is an essential SM subproblem. It is used to align the surrogate (enhanced coarse model) with the fine model. Novel physical illustrations are presented, including the cheese cutting problem and wedge cutting problem. Significant practical applications are reviewed.

关键词： Samarium Circuit simulation Design optimization Computational modeling Parameter extraction Design automation mathematical model Jacobian matrices Design engineering Dairy products

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