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2019 15th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS)最新文献

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Optimizing Risk-Free Model of Development of Educational Organization Based on Modified Risk Thermometer 基于修正风险温度计的教育组织无风险发展优化模型
Y. Shevtsova, V. Kanev, A. Poletaikin, N. Kuleshova
We propose new original mathematical approach to the problem of a risk management concerning ensuring quality of educational activity of higher education institution. As a basic method of risk management the risk thermometer identifying a risk background of educational process is used. Estimation of risks is carried out by means of fuzzy composition of the obtained temperature data with the fuzzy relation of compliance of risks to their key indicators. The method of fuzzy clustering is applied to construction of risk temperature’s function with optimum parameters. As examination results the complex of actions for developing educational organization formed, which ranging is carried out also on the basis of temperature data.
针对高校教育活动质量风险管理问题,提出了一种新颖的数学方法。风险温度计是风险管理的一种基本方法,用于识别教育过程的风险背景。将获得的温度数据与风险对关键指标的符合度模糊关系进行模糊组合,进行风险的估计。应用模糊聚类方法构造具有最优参数的风险温度函数。作为考核结果,形成了发展教育组织的行动综合体,并在温度数据的基础上进行了排序。
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引用次数: 1
Retailing Under Monopolistic Competition: A Comparative Analysis 垄断竞争下的零售业:比较分析
O. Tilzo, I. Bykadorov
The paper presents extensive research on the analysis of the monopolistic competition model altered by adding vertical market interaction with several manufacturers, a retailer and consumers. The analysis of different types of interaction of market participants is given.The characteristic of these situations is presented in terms of the retailer’s and manufacturers’ profits, special attention is also paid to the consumer surplus function. The comparison of different types of interaction allows us to identify their strengths and weaknesses, and reveals the various possibilities of maintaining the balance.For each situation under consideration, detailed solutions are provided, and ways to further improve the model are proposed.
本文对垄断竞争模型的分析进行了广泛的研究,该模型是通过增加几个制造商、一个零售商和消费者的垂直市场互动而改变的。对不同类型的市场参与者的互动进行了分析。从零售商和制造商的利润角度分析了这些情况的特点,并特别关注了消费者剩余函数。通过对不同互动类型的比较,我们可以识别出它们的优缺点,并揭示出保持平衡的各种可能性。针对所考虑的每种情况,给出了详细的解决方案,并提出了进一步改进模型的途径。
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引用次数: 5
Optimization Algorithm for Seismic Location of Underground Objects 地下目标地震定位优化算法
D. Pinigina, A. Yakimenko
The paper considers the possibility of using the seismic event localization algorithm for localizing objects of the geophysical model of the environment. When adapting this algorithm the localization algorithm for point objects and the localization algorithm of objects of a certain form are proposed.
本文考虑了利用地震事件定位算法对环境地球物理模型目标进行定位的可能性。在应用该算法时,提出了点目标的定位算法和特定形式目标的定位算法。
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引用次数: 0
Genetic Based Approach For Novosibirsk Traffic Light Scheduling 基于遗传的新西伯利亚红绿灯调度方法
I. Davydov, D. Tolstykh, P. Kononova, Irina Legkih
Congestion, derived from the permanent increase in road traffic, is a pressing problem in the big cities all around the world nowadays. Thus, the methods of the intelligent control of vehicles traffic have to answer the growing demand. Optimization of traffic signal plans is an important step in this direction. Well-tuned traffic lights schedule augments the efficiency of vehicles flows processing. The research in intelligent traffic signal control helps to significantly improve a traffic situation, reduce the average vehicles waiting time and increase the average speed in the road network.In this study, we propose different configurations of a genetic algorithm to find an effective traffic lights schedule on the real road network. This heuristic evolutionary algorithm is known to cope well with different kinds of optimization problems. For application part of our research, we consider a complex segment of the street network in the city of Novosibirsk, Russia. Using a microscopic traffic simulator, SUMO, we model a corresponding road map fragment. The obtained model serves to evaluate the solutions of the traffic scheduling problem. We analyze the performance of the proposed genetic algorithm with different parameters and discuss the results of numerical experiments considering three different objectives functions which reflect traffic congestion. We show that the proposed approach can be applied to increase the quality of the traffic lights schedule, reducing traffic jams.
由于道路交通的持续增长而导致的拥堵,是当今世界各大城市面临的一个紧迫问题。因此,车辆交通的智能控制方法必须满足日益增长的需求。交通信号方案的优化是实现这一目标的重要一步。良好的交通灯调度提高了车辆流处理的效率。智能交通信号控制的研究有助于显著改善交通状况,减少车辆平均等待时间,提高路网平均速度。在本研究中,我们提出了不同配置的遗传算法,以找出一个有效的交通灯调度在真实的道路网络。这种启发式进化算法可以很好地处理各种优化问题。作为我们研究的应用部分,我们考虑了俄罗斯新西伯利亚市街道网络的一个复杂部分。使用微观交通模拟器,SUMO,我们对相应的路线图片段进行建模。所得模型用于评价交通调度问题的解。分析了遗传算法在不同参数下的性能,并讨论了反映交通拥堵的三种不同目标函数的数值实验结果。结果表明,该方法可用于提高交通信号灯调度质量,减少交通堵塞。
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引用次数: 3
Asymptotically Optimal Approach to a Given Diameter Undirected MST Problem on Random Input Data 随机输入数据上给定直径无向MST问题的渐近最优方法
E. Gimadi, A. Shevyakov, E. Shin
We give an approximation deterministic algorithm for solving the Random Undirected MST with given diameter on n-vertex complete undirected graph. The problem is NP-hard. Algorithm has a quadratic time complexity. A probabilistic analysis was performed under conditions that edge weights of given graph are identically independent uniformly distributed random variables on an interval with positive ends. Sufficient conditions of asymptotic optimality are presented.
给出了求解n顶点完全无向图上具有给定直径的随机无向MST的近似确定性算法。问题是NP-hard。算法的时间复杂度为二次。在给定图的边权为同独立的均匀分布随机变量,且其端为正区间的条件下,进行了概率分析。给出了渐近最优性的充分条件。
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引用次数: 2
Finding Optimal Solutions on Models of Living Systems 寻找生命系统模型的最优解
Y. Shornikov, E. Popov
Original mathematical and program models of modes of the biliary system are considered. The optimal solutions are found by using computer simulation and varying the parameters of the event-continuous systems in a modeling and simulation environment with a textual domain-specific language. The objective diagnosis of the morphofunctional state of the gastroduodenal region was conducted based on data from open sources. It is constructively proven that the optimal solutions obtained by simulation are almost equal to the exact solutions except for a small error. The proposed approach can be applied to other domains that employ the mentioned mathematical model types.
考虑了胆道系统模式的原始数学模型和程序模型。通过计算机仿真和在文本领域特定语言的建模和仿真环境中改变事件连续系统的参数,找到了最优解。根据公开资料对胃十二指肠区形态功能状态进行客观诊断。建设性地证明了通过模拟得到的最优解除了有很小的误差外几乎等于精确解。所提出的方法可以应用于使用上述数学模型类型的其他领域。
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引用次数: 0
Formation of Optimal Communication Service Portfolio for Corporate Clients 为企业客户形成最优通信服务组合
A. Zakharova, A. Marenkova, L. Danilova, A. Poletaikin, V. Podkolzin
The article presents the development of information technology for developing an optimal portfolio of communication services for corporate clients. To solve the problem, an optimization model is developed, which formalizes the selection of the most accurate composition of communication services for a corporate client. The problem is solved using the method of genetic algorithms.
本文介绍了信息技术的发展,为企业客户开发最佳的通信服务组合。为了解决这一问题,建立了一个优化模型,该模型为企业客户选择了最准确的通信服务组合。采用遗传算法求解该问题。
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引用次数: 0
On Models of Economic Development, Taking Into Account Lending 考虑借贷的经济发展模式研究
Sergey M. Antsyz
A new approach to the construction of mathematical models of complex socio-economic systems is described. The period of economic growth consisting of intervals equal in duration is considered. It is assumed that per capita consumption at each interval is limited from below. The choice of restrictions, providing growth of welfare of individuals, is supported by the process of taking and repayment loans. In contrast to the classical Ramsey-Solow model, it is proposed to minimize the total income for the period. The neoclassical function of economic growth is approximated at each interval by a linear function. It is shown that the development of the economy strategy, obtained with the help of a new approach, allows reducing damage to the environment.
描述了一种构建复杂社会经济系统数学模型的新方法。考虑由时间间隔相等组成的经济增长期。假设每个区间的人均消费从下限价。限制的选择,提供个人福利的增长,是由贷款和偿还贷款的过程支持的。与经典的Ramsey-Solow模型相比,该模型的目标是使该时期的总收入最小化。经济增长的新古典函数在每个区间用一个线性函数近似。研究表明,在新方法的帮助下,经济战略的发展可以减少对环境的破坏。
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引用次数: 0
Analysis and Optimization of Pipelined Broadcast Algorithms on Gigabit Ethernet and InfiniBand Networks 千兆以太网和ib网络上的流水线广播算法分析与优化
M. Kurnosov, Daniil Berlizov, Tatiana Tkacheva, E. Tokmasheva
Theoretical and experimental analysis of MPI Bcast algortihms is presented. The optimal tree degrees and segment sizes for pipelined versions of algorithms are obtained. Algorithms were investigated according to their implementation in the Open MPI library. Theoretical results are consistent with experiments on a computer cluster with Gigabit Ethernet and InfiniBand communication networks.
本文对MPI Bcast算法进行了理论和实验分析。得到了算法的流水线版本的最优树度和段大小。根据算法在Open MPI库中的实现进行了研究。理论结果与千兆以太网和ib通信网络的计算机集群实验结果一致。
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引用次数: 0
The Integrated Computational Environment for Optimization of Complex Systems 复杂系统优化的集成计算环境
V. Il'in
The concept, general structure and main components of the integrated computing environment (ICE) for optimization of complex systems based on the methods of conditional minimization of the objective functional characterizing the initial formulation of the problem of mathematical modeling on supercomputers are considered. The inverse problem is solved based on a sequence of direct initial-boundary value problems, each of which can be a resource-intensive interdisciplinary problem described by a system of multidimensional differential and/or integral (and/or discrete) equations in multi-scale computational domains with multi-connected piecewise smooth geometric configurations of boundaries and contrast material properties of multiphase media. This includes, in particular, the actual problems of surrogate optimization. The functional core of the ICE is focused on a high-performance support of all major stages of a large-scale computational experiment, including geometric and semantic modeling, generation of computational grids, approximation of initial equations, solution of algebraic problems, optimization algorithms for solving inverse problems, post-processing and visualization of results, decision-making on the results of the study. Technical requirements for the ICE involve a flexible expansion of the models and methods used, adaptation to the evolution of computer platforms, effective reuse of external software products, coordinated participation of different teams of developers and focus on a broad demand of the end users from different industries. These qualities are designed to provide a long life cycle and a qualitative increase in productivity in the development and application of the new generation software.
考虑了基于目标函数条件最小化方法的复杂系统优化集成计算环境(ICE)的概念、总体结构和主要组成部分,这是超级计算机数学建模问题的初始表述。反问题是基于一系列直接初始边值问题来解决的,每个问题都可以是一个资源密集的跨学科问题,由多尺度计算域中的多维微分和/或积分(和/或离散)方程系统描述,具有多连接的分段光滑几何结构的边界和多相介质的对比材料特性。这尤其包括代理优化的实际问题。ICE的功能核心是为大规模计算实验的所有主要阶段提供高性能支持,包括几何和语义建模、计算网格的生成、初始方程的近似、代数问题的求解、求解反问题的优化算法、结果的后处理和可视化、对研究结果的决策。综合信息系统的技术要求包括灵活扩展所使用的模型和方法、适应计算机平台的发展、有效地重用外部软件产品、协调不同开发团队的参与,以及关注不同行业最终用户的广泛需求。这些特性被设计为在新一代软件的开发和应用中提供较长的生命周期和在生产力方面的质的增加。
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2019 15th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS)
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