This page has only limited features, please log in for full access.
Design and study of mathematical models of marshalling yards in order to increase productivity and ensure their smooth operation is relevant, since these objects are key elements for the organization of freight transport on the railway network. In this work, we develop a mathematical model for the operation of a marshalling yard in the form of a four-phase queuing system with BMAP flow and group service of requests. Each phase is a non-Markov multichannel queuing system with a finite queue and group service of requests in the channel. For its numerical study, we create and implement a simulation model. The proposed mathematical apparatus and software are tested on for the operating marshalling yard, which is typical and located on the East Siberian Railway. We demonstrate that it allows us to assess the current level of operation, determine the maximum permissible load and find bottlenecks in the structure of the selected station and then eliminate them.
Maksim Zharkov; Anna Lempert; Michael Pavidis. Simulation of Railway Marshalling Yards Based on Four-Phase Queuing Systems. Communications in Computer and Information Science 2021, 143 -154.
AMA StyleMaksim Zharkov, Anna Lempert, Michael Pavidis. Simulation of Railway Marshalling Yards Based on Four-Phase Queuing Systems. Communications in Computer and Information Science. 2021; ():143-154.
Chicago/Turabian StyleMaksim Zharkov; Anna Lempert; Michael Pavidis. 2021. "Simulation of Railway Marshalling Yards Based on Four-Phase Queuing Systems." Communications in Computer and Information Science , no. : 143-154.
Among the micro-logistic transport systems, railway stations should be highlighted, such as one of the most important transport infrastructure elements. The efficiency of the transport industry as a whole depends on the quality of their operation. Such systems have a complex multi-level structure, and the incoming traffic flow often has a stochastic character. It is known that the most effective approach to study the operation of such systems is mathematical modeling. Earlier, we proposed an approach to transport hub modeling using multiphase queuing systems with a batch Markovian arrival process (BMAP) as an incoming flow. In this paper, we develop the method by applying more complex models based on queuing networks that allow us to describe in detail the route of requests within an object with a non-linear hierarchical structure. This allows us to increase the adequacy of modeling and explore a new class of objects—freight railway stations and marshalling yards. Here we present mathematical models of two railway stations, one of which is a freight railway station located in Russia, and the other is a marshalling yard in the USA. The models have the form of queuing networks with BMAP flow. They are implemented as simulation software, and a numerical experiment is carried out. Based on the numerical results, some “bottlenecks” in the structure of the studied stations are determined. Moreover, the risk of switching to an irregular mode of operation is assessed. The proposed method is suitable for describing a wide range of cargo and passenger transport systems, including river ports, seaports, airports, and multimodal transport hubs. It allows a primary analysis of the hub operation and does not need large statistical information for parametric identification.
Igor Bychkov; Alexander Kazakov; Anna Lempert; Maxim Zharkov. Modeling of Railway Stations Based on Queuing Networks. Applied Sciences 2021, 11, 2425 .
AMA StyleIgor Bychkov, Alexander Kazakov, Anna Lempert, Maxim Zharkov. Modeling of Railway Stations Based on Queuing Networks. Applied Sciences. 2021; 11 (5):2425.
Chicago/Turabian StyleIgor Bychkov; Alexander Kazakov; Anna Lempert; Maxim Zharkov. 2021. "Modeling of Railway Stations Based on Queuing Networks." Applied Sciences 11, no. 5: 2425.
The paper is devoted to the multiple covering problem by circles of two types. The number of circles of each class is given as well as a ratio radii. The circle covering problem is usually studied in the case when the distance between points is Euclidean. We assume that the distance is determined using some particular metric arising in logistics, which, generally speaking, is not Euclidean. The numerical algorithm is suggested and implemented. It based on an optical-geometric approach, which is developed by the authors in recent years and previously used only for circles of an equal radius. The results of a computational experiment are presented and discussed.
Alexander Kazakov; Anna Lempert; Quang Mung Le. On Multiple Coverings of Fixed Size Containers with Non-Euclidean Metric by Circles of Two Types. Communications in Computer and Information Science 2020, 120 -132.
AMA StyleAlexander Kazakov, Anna Lempert, Quang Mung Le. On Multiple Coverings of Fixed Size Containers with Non-Euclidean Metric by Circles of Two Types. Communications in Computer and Information Science. 2020; ():120-132.
Chicago/Turabian StyleAlexander Kazakov; Anna Lempert; Quang Mung Le. 2020. "On Multiple Coverings of Fixed Size Containers with Non-Euclidean Metric by Circles of Two Types." Communications in Computer and Information Science , no. : 120-132.
The paper deals with a system of two nonlinear second-order parabolic equations. Similar systems, also known as reaction-diffusion systems, describe different chemical processes. In particular, two unknown functions can represent concentrations of effectors (the activator and the inhibitor respectively), which participate in the reaction. Diffusion waves propagating over zero background with finite velocity form an essential class of solutions of these systems. The existence of such solutions is possible because the parabolic type of equations degenerates if unknown functions are equal to zero. We study the analytic solvability of a boundary value problem with the degeneration for the reaction-diffusion system. The diffusion wave front is known. We prove the theorem of existence of the analytic solution in the general case. We construct a solution in the form of power series and suggest recurrent formulas for coefficients. Since, generally speaking, the solution is not unique, we consider some cases not covered by the proved theorem and present the example similar to the classic example of S.V. Kovalevskaya.
Alexander Kazakov; Pavel Kuznetsov; Anna Lempert. Analytical Solutions to the Singular Problem for a System of Nonlinear Parabolic Equations of the Reaction-Diffusion Type. Symmetry 2020, 12, 999 .
AMA StyleAlexander Kazakov, Pavel Kuznetsov, Anna Lempert. Analytical Solutions to the Singular Problem for a System of Nonlinear Parabolic Equations of the Reaction-Diffusion Type. Symmetry. 2020; 12 (6):999.
Chicago/Turabian StyleAlexander Kazakov; Pavel Kuznetsov; Anna Lempert. 2020. "Analytical Solutions to the Singular Problem for a System of Nonlinear Parabolic Equations of the Reaction-Diffusion Type." Symmetry 12, no. 6: 999.
The paper deals with two-dimensional boundary-value problems for the degenerate nonlinear parabolic equation with a source term, which describes the process of heat conduction in the case of the power-law temperature dependence of the heat conductivity coefficient. We consider a heat wave propagation problem with a specified zero front in the case of two spatial variables. The solution existence and uniqueness theorem is proved in the class of analytic functions. The solution is constructed as a power series with coefficients to be calculated by a proposed constructive recurrent procedure. An algorithm based on the boundary element method using the dual reciprocity method is developed to solve the problem numerically. The efficiency of the application of the dual reciprocity method for various systems of radial basis functions is analyzed. An approach to constructing invariant solutions of the problem in the case of central symmetry is proposed. The constructed solutions are used to verify the developed numerical algorithm. The test calculations have shown the high efficiency of the algorithm.
Alexander Kazakov; Lev Spevak; Olga Nefedova; Anna Lempert. On the Analytical and Numerical Study of a Two-Dimensional Nonlinear Heat Equation with a Source Term. Symmetry 2020, 12, 921 .
AMA StyleAlexander Kazakov, Lev Spevak, Olga Nefedova, Anna Lempert. On the Analytical and Numerical Study of a Two-Dimensional Nonlinear Heat Equation with a Source Term. Symmetry. 2020; 12 (6):921.
Chicago/Turabian StyleAlexander Kazakov; Lev Spevak; Olga Nefedova; Anna Lempert. 2020. "On the Analytical and Numerical Study of a Two-Dimensional Nonlinear Heat Equation with a Source Term." Symmetry 12, no. 6: 921.
УДК 514.174.2 MSC: 52C17, 05B40, 51M16, 52A27 DOI: 10.21538/0134-4889-2020-26-2-173-187 Исследование П.Д. Лебедева поддержано грантом РНФ (проект № 19-11-00105), исследование А.Л. Казакова выполнено при поддержке РФФИ (проект № 18-07-00604), исследование А.А. Лемперт — при поддержке РФФИ (проект № 20-010-00724) и Правительства Иркутской области.
П. Д. Лебедев; А. Л. Казаков; А. А. Лемперт. Численные методы построения упаковок из различных шаров в выпуклые компакты. Trudy Instituta Matematiki i Mekhaniki UrO RAN 2020, 26, 1 .
AMA StyleП. Д. Лебедев, А. Л. Казаков, А. А. Лемперт. Численные методы построения упаковок из различных шаров в выпуклые компакты. Trudy Instituta Matematiki i Mekhaniki UrO RAN. 2020; 26 (2):1.
Chicago/Turabian StyleП. Д. Лебедев; А. Л. Казаков; А. А. Лемперт. 2020. "Численные методы построения упаковок из различных шаров в выпуклые компакты." Trudy Instituta Matematiki i Mekhaniki UrO RAN 26, no. 2: 1.
Рассматривается задача упаковки шаров двух типов в замкнутое ограниченное множество в трехмерном пространстве как с евклидовой, так и со специальной неевклидовой метрикой. Требуется максимизировать радиус шаров при известном количестве шаров каждого типа и заданном отношении между радиусами. Предложен вычислительный алгоритм, основанный на комбинации метода бильярдного моделирования и оптико-геометрического подхода, базирующегося на фундаментальных физических принципах Ферма и Гюйгенса. Приведены результаты вычислительного эксперимента. The problem of packing balls of two types into a closed bounded set in three-dimensional space with the Euclidean metric and a special non-Euclidean metric. It is required to maximize the radius of the balls for a given number of balls of each type and a known ratio of radii. We propose a computational algorithm based on a combination of the billiard modeling method and the optical-geometric approach employing the fundamental physical principles of Fermat and Huygens. The results of numerical experiments are discussed.
А.л. Казаков; А.а. Лемперт; Ч.т. Та. An algorithm for packing balls of two types in a three-dimensional set with a non-Euclidean metric. Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie) 2020, 21, 152 -163.
AMA StyleА.л. Казаков, А.а. Лемперт, Ч.т. Та. An algorithm for packing balls of two types in a three-dimensional set with a non-Euclidean metric. Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie). 2020; 21 (2):152-163.
Chicago/Turabian StyleА.л. Казаков; А.а. Лемперт; Ч.т. Та. 2020. "An algorithm for packing balls of two types in a three-dimensional set with a non-Euclidean metric." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie) 21, no. 2: 152-163.
A. L. Kazakov; Matrosov Institute for System Dynamics and Control Theory SB RAS; P. D. Lebedev; A. A. Lempert; Irkutsk National Research Technical University; Krasovskii Institute of Mathematics and Mechanics of UB RAS. On Covering Bounded Sets by Collections of Circles of Various Radii. The Bulletin of Irkutsk State University. Series Mathematics 2020, 31, 18 -33.
AMA StyleA. L. Kazakov, Matrosov Institute for System Dynamics and Control Theory SB RAS, P. D. Lebedev, A. A. Lempert, Irkutsk National Research Technical University, Krasovskii Institute of Mathematics and Mechanics of UB RAS. On Covering Bounded Sets by Collections of Circles of Various Radii. The Bulletin of Irkutsk State University. Series Mathematics. 2020; 31 (31):18-33.
Chicago/Turabian StyleA. L. Kazakov; Matrosov Institute for System Dynamics and Control Theory SB RAS; P. D. Lebedev; A. A. Lempert; Irkutsk National Research Technical University; Krasovskii Institute of Mathematics and Mechanics of UB RAS. 2020. "On Covering Bounded Sets by Collections of Circles of Various Radii." The Bulletin of Irkutsk State University. Series Mathematics 31, no. 31: 18-33.
Статья посвящена разработке вычислительной технологии для сценарного моделирования и прогнозирования взаимосвязанного развития национальных топливно/энергетических комплексов России и Монголии с учетом межстрановой торговли топливно/энергетическими ресурсами. Целью исследования является создание методологической базы для определения наиболее перспективных вариантов двухстороннего взаимодействия, которая позволит давать обоснованные оценки эффективности проектам сотрудничества России и Монголии в области энергетики. Научной основой для создаваемой технологии послужили принципы агентного имитационного моделирования, в соответствии с которыми изучаемые объекты рассматриваются как элементы многоагентной системы. Для создания агентной имитационной модели (АИМ) топливно/энергетического комплекса России и Монголии выбрано инструментальное средство разработки агентных имитационных моделей Adskit. Проведено обоснование выбора программных средств,...
Александр Леонидович Казаков; Анна Ананьевна Лемперт; Александр Борисович Столбов; Борис Григорьевич Санеев; Сергей Петрович Попов. Principles of creating technology for modeling and forecasting the development of regional fuel and energy complexes of Russia and Mongolia in respect the energy cooperation between the two countries. Program Systems: Theory and Applications 2019, 10, 1 .
AMA StyleАлександр Леонидович Казаков, Анна Ананьевна Лемперт, Александр Борисович Столбов, Борис Григорьевич Санеев, Сергей Петрович Попов. Principles of creating technology for modeling and forecasting the development of regional fuel and energy complexes of Russia and Mongolia in respect the energy cooperation between the two countries. Program Systems: Theory and Applications. 2019; 10 (4):1.
Chicago/Turabian StyleАлександр Леонидович Казаков; Анна Ананьевна Лемперт; Александр Борисович Столбов; Борис Григорьевич Санеев; Сергей Петрович Попов. 2019. "Principles of creating technology for modeling and forecasting the development of regional fuel and energy complexes of Russia and Mongolia in respect the energy cooperation between the two countries." Program Systems: Theory and Applications 10, no. 4: 1.
The paper discusses solutions of the nonlinear heat equation, which have the form of a heat wave propagating on a zero background with a finite velocity. Such solutions are not typical for parabolic equations, and their existence is associated with the degeneration of the problem at the wave (zero) front. We propose a numerical algorithm for constructing a two-dimensional heat wave, symmetrical with respect to the origin, with a non-zero boundary condition defined on the moving boundary. The main difficulty of the new task is that at each time point a heat wave front (a domain boundary) is unknown. The solution is carried out in two stages. At first, we change the roles of unknown function and radial polar coordinate. For a new unknown function at each time point, we obtain a boundary value problem for the Poisson equation in a known region. The step-by-step solving of this problem by the method of boundary elements at a given time interval allows us to determine the law of the zero front moving. At second, we approximate the found zero front by an analytical function and construct a generalized self-similar solution. The developed algorithm is implemented and tested on a task set.
A L Kazakov; L F Spevak; A A Lempert; O A Nefedova. A computational algorithm for constructing a two-dimensional heat wave generated by a non-stationary boundary condition. Journal of Physics: Conference Series 2019, 1392, 012083 .
AMA StyleA L Kazakov, L F Spevak, A A Lempert, O A Nefedova. A computational algorithm for constructing a two-dimensional heat wave generated by a non-stationary boundary condition. Journal of Physics: Conference Series. 2019; 1392 (1):012083.
Chicago/Turabian StyleA L Kazakov; L F Spevak; A A Lempert; O A Nefedova. 2019. "A computational algorithm for constructing a two-dimensional heat wave generated by a non-stationary boundary condition." Journal of Physics: Conference Series 1392, no. 1: 012083.
The paper is devoted to the circle covering problem with unequal circles. The number of circles is given. Also, we know a function, which determines a relation between the radii of two neighboring circles. The circle covering problem is usually studied in the case when the distance between points is Euclidean. We assume that the distance is determined by means of some special metric, which, generally speaking, is not Euclidean. The special numerical algorithm is suggested and implemented. It based on optical-geometric approach, which is developed by the authors in recent years and previously used only for circles of the equal radius. The results of a computational experiment are presented and discussed.
Alexander Kazakov; Anna Lempert; Quang Mung Le. On the Thinnest Covering of Fixed Size Containers with Non-euclidean Metric by Incongruent Circles. Communications in Computer and Information Science 2019, 195 -206.
AMA StyleAlexander Kazakov, Anna Lempert, Quang Mung Le. On the Thinnest Covering of Fixed Size Containers with Non-euclidean Metric by Incongruent Circles. Communications in Computer and Information Science. 2019; ():195-206.
Chicago/Turabian StyleAlexander Kazakov; Anna Lempert; Quang Mung Le. 2019. "On the Thinnest Covering of Fixed Size Containers with Non-euclidean Metric by Incongruent Circles." Communications in Computer and Information Science , no. : 195-206.
Alexander Kazakov; P A Kuznetsov; Anna Lempert; L F Spevak. Analytical and numerical solutions to the problem on a heat wave initiating for the nonlinear heat equation with a source. Journal of Physics: Conference Series 2019, 1268, 1 .
AMA StyleAlexander Kazakov, P A Kuznetsov, Anna Lempert, L F Spevak. Analytical and numerical solutions to the problem on a heat wave initiating for the nonlinear heat equation with a source. Journal of Physics: Conference Series. 2019; 1268 ():1.
Chicago/Turabian StyleAlexander Kazakov; P A Kuznetsov; Anna Lempert; L F Spevak. 2019. "Analytical and numerical solutions to the problem on a heat wave initiating for the nonlinear heat equation with a source." Journal of Physics: Conference Series 1268, no. : 1.
The article is devoted to Circle covering problem for a bounded set in a two-dimensional metric space with a given amount of circles. Here we focus on a more complex problem of constructing reserve and multiply coverings. Besides that, we consider the case where covering set is a multiply-connected domain. The numerical algorithms based on fundamental physical principles, established by Fermat and Huygens, are suggested and implemented. This allows us to solve the problems for the cases of non-convex sets and non-Euclidean metrics. Preliminary results of numerical experiments are presented and discussed. Calculations show the applicability of the proposed approach.
Anna Lempert; Alexander Kazakov; Quang Mung Le. On reserve and double covering problems for the sets with non-Euclidean metrics. Yugoslav Journal of Operations Research 2019, 29, 69 -79.
AMA StyleAnna Lempert, Alexander Kazakov, Quang Mung Le. On reserve and double covering problems for the sets with non-Euclidean metrics. Yugoslav Journal of Operations Research. 2019; 29 (1):69-79.
Chicago/Turabian StyleAnna Lempert; Alexander Kazakov; Quang Mung Le. 2019. "On reserve and double covering problems for the sets with non-Euclidean metrics." Yugoslav Journal of Operations Research 29, no. 1: 69-79.
Alexander Kazakov; Anna Lempert; Tchung Thanh Ta. On the Algorithm for Equal Balls Packing into a Multi-connected Set. Proceedings of the VIth International Workshop 'Critical Infrastructures: Contingency Management, Intelligent, Agent-Based, Cloud Computing and Cyber Security' (IWCI 2019) 2019, 1 .
AMA StyleAlexander Kazakov, Anna Lempert, Tchung Thanh Ta. On the Algorithm for Equal Balls Packing into a Multi-connected Set. Proceedings of the VIth International Workshop 'Critical Infrastructures: Contingency Management, Intelligent, Agent-Based, Cloud Computing and Cyber Security' (IWCI 2019). 2019; ():1.
Chicago/Turabian StyleAlexander Kazakov; Anna Lempert; Tchung Thanh Ta. 2019. "On the Algorithm for Equal Balls Packing into a Multi-connected Set." Proceedings of the VIth International Workshop 'Critical Infrastructures: Contingency Management, Intelligent, Agent-Based, Cloud Computing and Cyber Security' (IWCI 2019) , no. : 1.
The article is devoted to multiple circle covering problem for a bounded set in a two-dimensional metric space with a given amount of circles. Such statements arise in the construction of global navigation systems like GPS and Glonass. A similar problem appears in infrastructure logistics if there is a main servicing system and it is necessary to create a duplicate system to support service in the case of failure of one or more nodes. To solve this problem, we propose a computational algorithm based on a combination of the optical-geometric approach due to Fermat and Huygens principles and Voronoi diagram. A key feature of the algorithm is the ability to deal with non-Euclidean metrics. Numerical results and a comparison with known approaches are presented and discussed.
Lempert Anna; Le Quang Mung. Multiple covering of a closed set on a plane with non-Euclidean metrics. IFAC-PapersOnLine 2018, 51, 850 -854.
AMA StyleLempert Anna, Le Quang Mung. Multiple covering of a closed set on a plane with non-Euclidean metrics. IFAC-PapersOnLine. 2018; 51 (32):850-854.
Chicago/Turabian StyleLempert Anna; Le Quang Mung. 2018. "Multiple covering of a closed set on a plane with non-Euclidean metrics." IFAC-PapersOnLine 51, no. 32: 850-854.
This paper deals with the problem of optimal packing a given number of equal spheres into different closed sets. We consider the problem both in three-dimensional Euclidean and non-Euclidean spaces. The special algorithm based on optical-geometric approach is suggested and implemented. This approach is previously used only for packing circles in two-dimensional space. Numerical results are presented and discussed.
A.L. Kazakov; A.A. Lempert; T.T. Ta. The sphere packing problem into bounded containers in three-dimension non-Euclidean space. IFAC-PapersOnLine 2018, 51, 782 -787.
AMA StyleA.L. Kazakov, A.A. Lempert, T.T. Ta. The sphere packing problem into bounded containers in three-dimension non-Euclidean space. IFAC-PapersOnLine. 2018; 51 (32):782-787.
Chicago/Turabian StyleA.L. Kazakov; A.A. Lempert; T.T. Ta. 2018. "The sphere packing problem into bounded containers in three-dimension non-Euclidean space." IFAC-PapersOnLine 51, no. 32: 782-787.
The paper deals with a nonlinear second-order parabolic equation with partial derivatives, which is usually called "the porous medium equation". It describes the processes of heat and mass transfer as well as filtration of liquids and gases in porous media. In addition, it is used for mathematical modeling of growth and migration of population. Usually this equation is studied numerically like most other nonlinear equations of mathematical physics. So, the construction of exact solution in an explicit form is important to verify the numerical algorithms. The authors deal with a special solutions which are usually called "heat waves". A new class of heat-wave type solutions of one-dimensional (plane-symmetric) porous medium equation is proposed and analyzed. A logarithmic heat wave front is studied in details. Considered equation has a singularity at the heat wave front, because the factor of the highest (second) derivative vanishes. The construction of these exact solutions reduces to the integration of a nonlinear second-order ordinary differential equation (ODE). Moreover, the Cauchy conditions lead us to the fact that this equation has a singularity at the initial point. In other words, the ODE inherits the singularity of the original problem. The qualitative analysis of the solutions of the ODE is carried out. The obtained results are interpreted from the point of view of the corresponding heat waves' behavior. The most interesting is a damped solitary wave, the length of which is constant, and the amplitude decreases.
A L Kazakov; A A Lempert; S S Orlov. On exact solutions of a heat-wave type with logarithmic front for the porous medium equation. Journal of Physics: Conference Series 2017, 894, 12038 .
AMA StyleA L Kazakov, A A Lempert, S S Orlov. On exact solutions of a heat-wave type with logarithmic front for the porous medium equation. Journal of Physics: Conference Series. 2017; 894 ():12038.
Chicago/Turabian StyleA L Kazakov; A A Lempert; S S Orlov. 2017. "On exact solutions of a heat-wave type with logarithmic front for the porous medium equation." Journal of Physics: Conference Series 894, no. : 12038.
Alexander Kazakov; Anna Lempert; Huy L. Nguyen; Dmitry I. Ignatov; Mikhail Yu. Khachay; Valeri G. Labunets; Natalia Loukachevitch; Sergey I. Nikolenko; Alexander Panchenko; Andrey V. Savchenko; Konstantin Vorontsov. The Problem of the Optimal Packing of the Equal Circles for Special Non-Euclidean Metric. Communications in Computer and Information Science 2017, 58 -68.
AMA StyleAlexander Kazakov, Anna Lempert, Huy L. Nguyen, Dmitry I. Ignatov, Mikhail Yu. Khachay, Valeri G. Labunets, Natalia Loukachevitch, Sergey I. Nikolenko, Alexander Panchenko, Andrey V. Savchenko, Konstantin Vorontsov. The Problem of the Optimal Packing of the Equal Circles for Special Non-Euclidean Metric. Communications in Computer and Information Science. 2017; ():58-68.
Chicago/Turabian StyleAlexander Kazakov; Anna Lempert; Huy L. Nguyen; Dmitry I. Ignatov; Mikhail Yu. Khachay; Valeri G. Labunets; Natalia Loukachevitch; Sergey I. Nikolenko; Alexander Panchenko; Andrey V. Savchenko; Konstantin Vorontsov. 2017. "The Problem of the Optimal Packing of the Equal Circles for Special Non-Euclidean Metric." Communications in Computer and Information Science , no. : 58-68.
Статья посвящена развитию предложенного ранее авторами подхода к моделированию работы объектов транспортной инфраструктуры с использованием математического аппарата теории систем массового обслуживания (СМО) [3, 4]. В основе лежит использование трехфазной немарковской СМО с блокировками, групповым обслуживанием на некоторых фазах и BMAP-потоком. Последний позволяет объединять потоки заявок при сохранении их структуры и учитывать групповое прибытие со случайным размером группы. В качестве примеров в настоящей работе рассматриваются транспортно-пересадочные узлы (ТПУ) «Владыкино» и «Кутузово» (Москва), для которых в ходе вычислительного эксперимента определены основные показатели эффективности функционирования и выработаны рекомендации по улучшению технико-технологических параметров...
M. L. Zharkov; Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (IDSTU SB RAS); A. L. Kazakov; A. A. Lempert. Determination of the critical parameters of work transport interchange hub based on multiphase queuing system. Herald of the Ural State University of Railway Transport 2017, 1 .
AMA StyleM. L. Zharkov, Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (IDSTU SB RAS), A. L. Kazakov, A. A. Lempert. Determination of the critical parameters of work transport interchange hub based on multiphase queuing system. Herald of the Ural State University of Railway Transport. 2017; (3):1.
Chicago/Turabian StyleM. L. Zharkov; Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (IDSTU SB RAS); A. L. Kazakov; A. A. Lempert. 2017. "Determination of the critical parameters of work transport interchange hub based on multiphase queuing system." Herald of the Ural State University of Railway Transport , no. 3: 1.
In the article we develop an approach to the study of nonlinear problems of mathematical physics, proposed in A. F. Sidorov’s school of thought, and apply it to solving boundary value problems with degeneracy for the nonlinear heat (porous medium) equation. The essence of the approach is that the solution of problems is constructed in the form of multiple power series. The convergence of the constructed series is proved by the majorant method. It allows us to propose the existence and uniqueness theorem, which is analogous to the Cauchy-Kovalevskaya theorem for the considered problem. A constructive scheme for finding the coefficients of the series is proposed. A special feature of the study is that the boundary condition is given on a moving closed manifold.
A. L. Kazakov; A. A. Lempert; P. A. Kuznetsov. On the analytic solvability of a special boundary value problem for the nonlinear heat equation. MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2017): Proceedings of the 11th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures 2017, 1 .
AMA StyleA. L. Kazakov, A. A. Lempert, P. A. Kuznetsov. On the analytic solvability of a special boundary value problem for the nonlinear heat equation. MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2017): Proceedings of the 11th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. 2017; ():1.
Chicago/Turabian StyleA. L. Kazakov; A. A. Lempert; P. A. Kuznetsov. 2017. "On the analytic solvability of a special boundary value problem for the nonlinear heat equation." MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2017): Proceedings of the 11th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures , no. : 1.