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Levitation Characteristics of a Transport Installation with an Electrodynamic Suspension During a Longitudinal Joint with Road Track 电动悬架运输装置与道路轨道纵向接合时的悬浮特性
Pub Date : 2019-07-19 DOI: 10.17816/TRANSSYST20195270-82
K. Voevodskii, Vladimir M. Strepetov, G. E. Sereda
Aim:to propose a technical solution to ensure the lateral stabilization of the vehicle with an electrodynamic suspension. Development of a method for calculating the levitation characteristics of a transport installation with an electrodynamic suspension in the presence of a longitudinal joint in the track. Analysis of the results of theoretical studies. Мaterials and methods: The article used the methods of the electromagnetic field theory, generalized functions, Fourier transform, analytical and numerical methods for determining quadratures. The program for PC was developed in the Fortran language. Result: to ensure lateral stabilization of the vehicle with an electrodynamic suspension, it was proposed to introduce a longitudinal insulating joint into the structure of the track bed. A mathematical model is proposed for this system of electrodynamic suspension in approximation of an infinitely wide track structure of rectangular cross section. A mathematical model is proposed for this system of electrodynamic suspension in approximation of an infinitely wide track structure of rectangular cross section. Numerical integration of these equations was performed by applying the Gauss formula and the Philo method. The results of the calculations allowed us to obtain a number of graphical dependencies of the levitation characteristics on the magnitude of the lateral displacement of the carriage electromagnet from a relatively symmetrical position. Conclusion: thus, the obtained results of the study fully meet the goal of determining the parameters of the side stabilization of the vehicle with an electrodynamic suspension with a track, containing a longitudinal joint under the assumptions made. Comparison of the proposed method with other proposed stabilization methods does not reveal the decisive advantages or disadvantages of the new method. In most cases, its most serious drawback is its low levitation quality. However, it is significantly reduced if the movement of the high speed ground transportation vehicle occurs predominantly at high speed, at which the force of aerodynamic drag prevails over the force of electrodynamic braking. Same relative is and the dignity of the system-high lateral rigidity. The reason for this is that the demands on the lateral stiffness can be quantified only formulated in relation to a particular track HSGT taking into account the timetable and other factors. In fact, the main destabilizing influences in sideways are inertia at motion on component and crosswind. Its role in choosing the stabilization system could play and other tasks the system subsystems HSGT. For example, installing additional stabilizing magnets can make it difficult to escape the passenger compartment from the magnetic field. Plays a role also principle and system design of traction. From the above it is clear that the final choice of the lateral stabilization of the research at this stage would be premature. Proposed and studied in this ar
目的:提出一种保证电动悬架车辆横向稳定的技术方案。开发了一种计算轨道上有纵向接头的电动悬挂运输装置悬浮特性的方法。理论研究结果分析。Мaterials和方法:本文运用电磁场理论、广义函数、傅立叶变换、解析法和数值法确定正交。PC程序是用Fortran语言开发的。结果:为保证电动悬架车辆的横向稳定性,建议在履带结构中引入纵向绝缘接头。提出了一种近似于无限宽矩形截面轨道结构的电动悬架系统的数学模型。提出了一种近似于无限宽矩形截面轨道结构的电动悬架系统的数学模型。应用高斯公式和菲罗方法对这些方程进行了数值积分。计算结果使我们能够获得悬浮特性与车厢电磁铁从相对对称位置的横向位移大小的图形依赖关系。结论:在假设条件下,所得到的研究结果完全满足了确定含纵向接头的带轨道电动悬架车辆侧稳定参数的目的。将所提出的方法与其他提出的稳定方法进行比较并不能揭示新方法的决定性优点或缺点。在大多数情况下,其最严重的缺点是其低悬浮质量。然而,如果高速地面运输车辆的运动主要发生在高速下,在高速下,空气动力阻力的力量压倒了电动力制动的力量,则显著减少。同样相对的是与尊严系统的高横向刚度。这样做的原因是,对横向刚度的要求只能在考虑到时间表和其他因素的情况下,与特定轨道HSGT有关。实际上,横向上主要的失稳影响因素是构件的运动惯性和侧风。它在稳定系统的选择和系统子系统HSGT的其他任务中所起的作用。例如,安装额外的稳定磁铁可以使其难以从磁场中逃离乘客舱。还起到牵引力原理和系统设计的作用。从以上可以清楚地看出,在这个阶段研究的横向稳定的最终选择是不成熟的。本文所提出和研究的一种新的稳定方式应被视为与前一种稳定方式相结合的另一种可能。新方法的竞争力问题的答案必须与具体路径HSGT的特点联系起来。在更严格地考虑边缘效应的情况下,以及考虑非绝缘界面的情况下,有必要进一步改进相关的结果。
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引用次数: 0
Decreasing of Profile Air Drag to the Train Movement Inside the Tube Transport 减小管路内空气阻力对列车运动的影响
Pub Date : 2019-07-19 DOI: 10.17816/TRANSSYST20195247-59
O. Larin, A. Bokov
Background: The movement of the train in an insulated space with the natural atmospheric pressure is accompanied by energy losses for unproductive work to overcome the profile air drag from the front and rear surfaces of the vehicle. At the same time, there is also a considerable increase of energy costs for overcoming the growing force of oncoming air drag. In order to exclude these energy losses, it is proposed to organize synchronous and volume-balanced pumping of air from the front part of the tube transport and injection of the air into the back part of the tube transport. Aim: To develop a method of organising air exchange inside the tube transport, which will ensure the reduction of air resistance to the movement of the train. Methods: The proposed developments are based on well-known national and foreign designs of high-speed tube transport systems, the results of a comparative analysis of tube transport with varying degrees of air pumping (backing vacuum and hard vacuum), taking into account the experience of redistributing the residual air volume in the Hyperloop and TransPod tube transport systems. The operating parameters of the compressor units that pump air into the internal cavity of the tube when the train is in motion is regulated on the basis of process models of gas dynamics. Results: A new method and device has been developed for reducing the air drag to the movement of the train by forced air exchange, which provides for the redistribution of air from the front to the rear of the transport tube relative to the vehicle travel direction. For the air redistribution, the external air exchange unit, consisting of air ducts, compressor units, gate valves, and air collectors is used. The process of external air exchange takes place only when the vehicle is in motion, for the movement of the vehicle no prior air exhaust is required. The air redistribution is controlled taking into account the speed of the train, its location in the tube, the design features of the tunnel and vehicle. The speed of the train for each segment of the speed section is normalised depending on the actual performance of the components of the air exchange system. Modes of operation of the compressor units must ensure synchronous redistribution of air from the front to the rear of the tube. The movement of a vehicle along a tube with normal atmospheric pressure in the internal cavity provides conditions for the safe transportation of goods and passengers. Conclusion: The developed method is designed to reduce the force of air resistance when the train is in motion inside the airtight tube without creating vacuum. The presented developments have good prospects for use in projects of high-speed transport systems of both underground and underwater designs.
背景:火车在自然大气压力下的绝缘空间中运动,伴随着非生产性工作的能量损失,以克服来自车辆前后表面的剖面空气阻力。与此同时,为了克服迎面而来的空气阻力所带来的日益增长的力量,能源成本也有相当大的增加。为了排除这些能量损失,建议采用从管输送前部同步、体积平衡抽送空气,并将空气注入管输送后部的方式。目的:开发一种在管道运输中组织空气交换的方法,以确保减少空气对列车运动的阻力。方法:以国内外知名的高速管道运输系统设计为基础,对比分析了不同抽气程度的管道运输(背真空和硬真空),并考虑了Hyperloop和转置管道运输系统中残余风量的重新分配经验。列车运行时向管内腔内泵入空气的压缩机组的运行参数是根据气体动力学过程模型进行调节的。结果:研制了一种新的方法和装置,通过强制空气交换,使空气相对于车辆行驶方向从输送管的前部重新分配到后部,以减少空气对列车运动的阻力。为了重新分配空气,使用外部空气交换单元,由风管、压缩机组、闸阀和空气收集器组成。外部空气交换过程仅在车辆运动时发生,因为车辆的运动不需要事先排气。空气再分配的控制要考虑列车的速度、列车在管道中的位置、隧道和车辆的设计特点。根据空气交换系统组件的实际性能,速度段的每个部分的列车速度归一化。压缩机机组的运行模式必须确保空气从管道的前部同步重新分配到后部。车辆沿管内常压的管道运动,为货物和乘客的安全运输提供了条件。结论:该方法可以在不产生真空的情况下减小列车在密闭管道内运动时的空气阻力。本研究成果在地下和水下高速交通系统工程中具有良好的应用前景。
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引用次数: 3
Magnetic Levitation Cargo Ransport Role in World Economy 磁悬浮货物运输在世界经济中的作用
Pub Date : 2019-07-19 DOI: 10.17816/transsyst201952106-117
S. Smirnov, O. Smirnova
Background: Currently, the car, water, railway, air and pipe transports are used for cargo and goods transportation. Each kind of cargo transport has its own specific competitive advantages that provide its most effective application at various stages of logistics chain. The economic efficiency of cargo transportation influences the overall economic efficiency, in particular, the gross domestic product. The quality of economic growth as applied to transport branch and its input to the national economy is relevant, since with the current organisation of different transport modes interaction, there are still high transaction costs. Aim: Study of influence of various modes of transport, including maglev transport, on the economy and economic growth. Methods: Theoretical and empirical. The paper considers the influence of various modes of transport, that operate in the cargo transport sphere, on the countrys economy. The comparison of existing modes of transport with the maglev transport from the point of view of desired effects is made. Results: The maglev transport possesses new properties and advantages, which makes it possible to view is as viable and able to provide a qualitative economic growth and resource-based economy if realised. Conclusion: The most efficient use of resources, the consumption of which should at least not increase and at most decrease, is achieved with the introduction of maglev transport into the transport system, as its economic properties already now excel those of the majority of other types of transport. It is obvious, as to the experts, that in transition to resource-based economy the maglev transport will be major transport for both cargo and passenger transit.
背景:目前,货物运输主要采用汽车、水路、铁路、航空和管道运输。每一种货物运输都有其特定的竞争优势,使其在物流链的各个阶段得到最有效的应用。货物运输的经济效率影响着整体经济效率,特别是国内生产总值。经济增长的质量适用于运输部门及其对国民经济的投入是相关的,因为目前不同运输方式的组织相互作用,仍然存在较高的交易成本。目的:研究包括磁悬浮运输在内的各种运输方式对经济和经济增长的影响。方法:理论与实证相结合。本文考虑了货物运输领域的各种运输方式对国家经济的影响。从期望效果的角度对现有的运输方式与磁悬浮运输方式进行了比较。结果:磁浮运输具有新的特性和优势,使其成为可行的,能够提供质的经济增长和资源型经济。结论:将磁浮运输引入运输系统,实现了资源的最有效利用,其消耗至少不应该增加,最多应该减少,因为它的经济性能现在已经优于大多数其他类型的运输。专家认为,在向资源型经济转型的过程中,磁悬浮运输将成为货物运输和旅客运输的主要运输方式。
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引用次数: 4
On Assessment of Influence of Innovation Activities Results on the National Economy 创新活动成果对国民经济影响的评价
Pub Date : 2019-07-19 DOI: 10.17816/transsyst201952118-129
I. V. Sokolova
Background: Development of Science in Russia is currently in urgent need of a thorough support from the state. Fundamental researches create ground for detalisation of innovative ideas and bring them closer through applied research to their developments and implementation. Ensuring sustainability of the countrys economy is possible only through contributing resources to researches of immediate relevance. Under existing conditions, special relevance is acquired by development of tools for assessment of additional effects of financing innovative development. Aim: The purpose of this study is to assess the impact on the national economy of the costs on innovative development of companies. Methods: Search for and analysis of: options of assessment of available information about results of scientific researches (both patented and those that are not officially registered as intellectual property); ways of deriving economic benefit from owning scientific researches results with absence of opportunity for their introduction into a companys activity or for selling. To assess the influence of expenses for innovative development on the national economy, the index of innovation support for the national economy (ISNE) is suggested to be used. Results: The algorithm for calculation of ISNE is presented. It is suggested to consider relevant for calculation those expenses of the companies, that work on development independently or with the help of national knowledge generation sector and higher education. These expenses are for: salaries, considering premium; procurement of national equipment and materials; paying for work carried out and services rendered by contracted companies. All other expenses at this stage are suggested to be deemed as irrelevant. The factor can be calculated for each company-resident, irrespective of type of activity and field of scientific researches for ID purposes. Conclusion: For companies that investing considerably in scientific and technical, innovative development, the increase of ISNE can be an additional incentive (with governmental support), will help in drawing attention to existing potential of the Russian science, save and multiply number of scientific schools, maintain high quality of scientific development and their effectiveness.
背景:俄罗斯的科学发展目前迫切需要国家的大力支持。基础研究为创新思想的细化创造了基础,并通过应用研究使其发展和实施更加紧密。只有通过向直接相关的研究提供资源,才能确保国家经济的可持续性。在现有条件下,开发评估为创新发展提供资金的额外影响的工具具有特殊的意义。目的:本研究的目的是评估企业创新发展成本对国民经济的影响。方法:检索和分析:关于科学研究结果的现有信息(包括专利和未正式注册为知识产权的信息)的评估选项;拥有科研成果,在没有机会将其引入公司活动或销售的情况下获取经济利益的方式。为了评估创新发展支出对国民经济的影响,建议采用国民经济创新支持指数(ISNE)。结果:给出了ISNE的计算算法。建议考虑独立开发的公司或借助国家知识生成部门和高等教育的公司的相关费用计算。这些费用包括:工资,考虑到奖金;采购国家设备和材料;支付合同公司所完成的工作和提供的服务。此阶段的所有其他费用建议视为无关费用。该因子可以为每个公司居民计算,而不考虑活动类型和用于身份验证目的的科学研究领域。结论:对于在科技创新发展方面投入大量资金的公司来说,ISNE的增加可以成为一种额外的激励(在政府的支持下),将有助于引起人们对俄罗斯科学现有潜力的关注,保存和增加科学学校的数量,保持高质量的科学发展及其有效性。
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引用次数: 1
Improve Current Collection in the Transport System of the Type "HYPERLOOP" 改进“超级高铁”型运输系统的电流收集
Pub Date : 2019-07-19 DOI: 10.17816/transsyst2019525-15
Konstantin K. Kim, A. Kolesova, S. Kolesov
Background: The vehicle moved in the pipe with rarefied air with the high speed provides high labour productivity, safety, ecological cleanness, comfort and independence from the atmospheric phenomena. Aim: improving the current collection in the speed range of 500-700 km/h. Method: We develop the method of decreasing the wear of the contact insert by using disulfide solid lubricant. Results: of the solution of magnetohydrodynamics equations for the lubricant layer allowed to define the optimal value of the lubricant layer thickness. Conclusion: The use of this lubricant is advisable on an alternating current. In this case the wear of the contact insert, the degree of sparking and the electromagnetic noise are decreased.
背景:车辆在管道中以稀薄空气高速移动,具有劳动生产率高、安全、生态清洁、舒适、不受大气现象影响等特点。目的:改善500-700 km/h速度范围内的电流采集。方法:研究了使用二硫固体润滑剂降低接触片磨损的方法。结果:对润滑层的磁流体力学方程进行求解,确定了润滑层厚度的最优值。结论:本品适用于交流电。在这种情况下,接触插件的磨损,火花程度和电磁噪声都降低了。
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引用次数: 2
Study on Heat Exchange of Different Ventilation Structures of Asynchronous Traction Motor for High Speed EMU 高速动车组异步牵引电机不同通风结构换热特性研究
Pub Date : 2019-07-19 DOI: 10.17816/transsyst20195216-30
Weili Li, Junci Cao, Dong Li, Zhigang Wu
Background: Aiming at the problems of high local temperature and uneven temperature distribution in asynchronous traction motor of high-speed Electric Multiple Unit (EMU) when it is running. Aim: In this paper, the influence of ventilation system with different structure on temperature distribution is studied. Methods: Taking 600kW asynchronous traction motor as an example, the electromagnetic-fluid-temperature analysis model of the traction motor is established, and the temperature values of different positions in the motor are obtained. The accuracy of the calculation results is verified by comparing with the actual measurement. On this basis, by adjusting the structure of stator and rotor axial ventilation holes, the relationship between temperature distribution and fluid flow state in motor is studied. In addition, the influence of fluid incidence angle on fluid velocity and heat dissipation performance of motor is also studied, and the ventilation structure scheme with relative balance of axial and circumferential temperature in motor is found out, which provides a reference strategy for the design of temperature rise of motor with forced ventilation structure. Results: The wind speed near the intake side of stator teeth and rotor teeth groove is less than that far from the intake side. The flow distribution trend of rotor vent is similar to that of stator vent, but the air in the groove is affected by centrifugal force of rotor rotation, which makes the wind speed difference on the intake side larger than that on the outlet side. The stator winding and rotor guide bar are affected by wind temperature to reach the maximum temperature at the end of the outlet respectively. The stator core is higher at the windward side and the leeward side than the other parts of the motor. The heat dissipation effect at both ends is good. The highest temperature of the stator core appears near the leeward side.
背景:针对高速动车组异步牵引电动机运行时局部温度高、温度分布不均匀的问题。目的:研究不同结构的通风系统对温度分布的影响。方法:以600kW异步牵引电机为例,建立牵引电机的电磁-流体-温度分析模型,得到电机内不同位置的温度值。通过与实际测量结果的比较,验证了计算结果的准确性。在此基础上,通过调整定子和转子轴向通气孔的结构,研究了电机内部温度分布与流体流动状态的关系。此外,还研究了流体入射角对电机流体速度和散热性能的影响,找出了电机轴向和周向温度相对平衡的通风结构方案,为强制通风结构下电机温升设计提供了参考策略。结果:静齿和转子齿槽进气侧附近的风速小于远离进气侧的风速。转子通风口的气流分布趋势与定子通风口相似,但槽内的空气受到转子旋转离心力的影响,使得进气侧的风速差大于出口侧的风速差。定子绕组和转子导杆分别受风温影响在出风口末端达到最高温度。定子铁心在迎风面和背风面比电机的其他部分高。两端散热效果好。定子铁心的最高温度出现在背风侧附近。
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引用次数: 0
A multilayer superconducting tape of the Nb50Ti alloy obtained from a Cu/Nb/Ti composite with a solid phase 采用固相Cu/Nb/Ti复合材料制备了Nb50Ti多层超导带
Pub Date : 2019-07-19 DOI: 10.17816/TRANSSYST20195231-46
V. Korzhov, Коржов Валерий Поликарпович, V. Zverev, Зверев Владимир Николаевич
Aim: Creation of multilayer superconducting tape made of Nb-Ti alloy. Methods: Using the methods of diffusion welding and packet rolling, for two cycles the prototypes of a multilayer tape based on a superconducting Nb50%Ti alloy were made. Copper was used as a stabiliser of the superconducting state of the conductor. At the initial stage, a multilayer Nb-Ti pack was assembled from niobium and titanium foils. Copper stabilising layers were laid in the pack in the 2nd cycle of tape manufacturing. The mutual diffusion between the Nb- and Ti-layers took place generally at the expense of niobium diffusing into the layers of titanium, with the Nb-50%Ti alloy emerging in their place. Results: Measurements of the critical current Ic with a perpendicular and parallel orientation of the magnetic field relative to the plane of the layers in the composite showed large anisotropy of Ic, which was the result of the superconducting vortices fixing exclusively at the boundaries of the Nb-Ti-alloy and the Nb-solid solution. In general, the composite was capable of carrying large current in magnetic fields of 5-6 T without long-lasting low-temperature annealing for -phase deposition, which is necessary in the case of Nb-Ti alloy composites produced by the known technology.
目的:制备铌钛合金多层超导带。方法:采用扩散焊和包轧两种方法,对超导Nb50%Ti合金的多层带进行两次循环制备。铜被用作导体超导状态的稳定剂。在初始阶段,由铌和钛箔组装成多层铌钛电池组。在胶带制造的第二个周期中,在包装中铺设了铜稳定层。Nb-层和ti -层之间的相互扩散通常是以铌扩散到钛层为代价的,取而代之的是Nb-50% ti合金。结果:用垂直和平行方向的磁场测量临界电流Ic,表明Ic具有较大的各向异性,这是超导涡旋只固定在nb - ti合金和nb固溶体的边界上的结果。总的来说,该复合材料能够在5-6 T的磁场中承载大电流,而无需进行长时间的低温退火沉积,这对于用已知技术生产的nb -钛合金复合材料来说是必要的。
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引用次数: 1
Mobility on demand – vision of a flexible future urban mobility 按需出行——未来城市灵活出行的愿景
Pub Date : 2019-07-19 DOI: 10.17816/transsyst201952130-138
R. Kircher, Johannes Kluehspies, E. Fritz, R. Koehler
Background: The present situation in megacities is characterized by traffic congestion, capacity limits of public transportation systems. In addition, environmental regulations due to potential health risks will have an increasing impact on urban transportation systems. Aim: In this paper, we describe major technology trends in transportation and in information and communication systems which will influence urban transportation in future megacities. Based on these trends a vision of a sustainable urban transportation system is developed. Method: In a first step, trends in urban development and the individual needs are analyzed. Digitalization of transportation and communication technologies offer new business opportunities for Artificial Intelligence (AI) based services. Results: The intelligent combination of advanced transportation technologies in large buildings and AI based services enables a vision of Mobility on Demand, representing a flexible and sustainable urban transportation in future megacities. Conclusion: The vision Mobility on Demand illustrates the effective and flexible integration of individual transportation needs into public transportation systems. Depending on the standards of future individual vehicles such vehicles could be integrated seamlessly into the urban Maglev transportation system.
背景:目前特大城市的特点是交通拥堵,公共交通系统的容量有限。此外,由于潜在的健康风险,环境法规将对城市交通系统产生越来越大的影响。目的:在本文中,我们描述了交通和信息通信系统的主要技术趋势,这些趋势将影响未来特大城市的城市交通。基于这些趋势,我们提出了可持续城市交通系统的设想。方法:第一步,分析城市发展趋势和个人需求。交通和通信技术的数字化为基于人工智能(AI)的服务提供了新的商机。结果:大型建筑中的先进交通技术与基于人工智能的服务的智能结合,实现了按需移动的愿景,代表了未来超大城市中灵活和可持续的城市交通。结论:vision Mobility on Demand展示了个人交通需求与公共交通系统有效和灵活的结合。根据未来个人车辆的标准,这些车辆可以无缝地集成到城市磁悬浮交通系统中。
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引用次数: 0
Reasons for and Rational Methods of Magnetically Levitated Trains Dynamic Modelling 磁悬浮列车动力学建模的原因及合理方法
Pub Date : 2019-07-19 DOI: 10.17816/TRANSSYST20195292-105
V. A. Polyakov, N. Khachapuridze
Background: The synthesis of high-quality dynamics and its analysis are the cardinal tasks of a magnetically levitated trains (MLT) creating problem. Aims of the work: Design the paradigm and technique of specified tasks rational solution. Methods: The synthesis of the wanted motion is proposed to carry out by solving the systems dynamics inverse problem, and its preliminary analysis by solving the same dynamics direct problem. Results: The reasons for MLTs dynamics modeling are identified and substantiated. The paradigm and tensor technique of its computer synthesis and analysis was developed.
背景:高质量的动力学综合及其分析是磁悬浮列车(MLT)制造问题的主要任务。工作目的:设计特定任务的合理解决方案的范式和技术。方法:提出通过求解系统动力学逆问题进行所需运动的综合,并通过求解同一动力学正问题进行初步分析。结果:确定并证实了mlt动力学建模的原因。发展了其计算机综合与分析的范式和张量技术。
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引用次数: 0
The probability of the correct majority made decision 正确多数作出决定的概率
Pub Date : 2019-04-05 DOI: 10.17816/TRANSSYST20195142-53
Vladimir M. Strepetov, K. Voevodskii
Aim: the probability of correctness of the collegial decision, which is made by a majority vote of some collective (board), consisting of an odd number of members is investigated, if the probability of correctness of the individual decision of each member of Board is known. Мaterials and methods: Bernoulli scheme, asymptotic representation, estimation via geometric series, power series expansion, the formula of Wallis, a power scale of averages, average of Kolmogorov. Result: it is established, that if for each member of the board the probability of correctness of the individual decision is more than ½, then with an unlimited increase in the number of members of the Board the probability of correctness of the collegial decision tends to 1. The asymptotic representation and a number of bilateral estimates characterizing the speed of this aspiration are obtained. For heterogeneous Board (that is a Board, whose members make the right individual decision with different probability) introduced the concept of collegial average as an average characteristics, which can replaced the individual probability of each member of the board with the preservation of the probability of a collegial decision. The existence and uniqueness of the collegial average are proved. We derive a collegial inequality showing that the collegial average of some a set of numbers is not less than the geometric average of the same numbers with the equality takes place in the case and only if all the numbers are equal to each other. The collegial inequality serves as an analogue and complement to known set of inequalities establishing a connection between different averages (for example, Cauchy inequality for arithmetic average and geometric average). Conclusion: thus, the results of the study fully meet the aim of determining the probability of correctness of collegial decision taken by a majority of votes under the assumptions. As a result we obtain an asymptotic representation and bilateral estimates characterizing the rate of striving for the correct solution. For a heterogeneous board, the existence uniqueness of the concept of collegial average as an average characteristics is introduced and strictly proved, which can be replaced by an individual probability of each with preserving the probability of correctness of the collegial decision. It is established that the collegial average is not less than the geometric average. Possible applications of the results obtained can be the quantitative evaluation of election procedures and the solution of problems associated with improving the reliability of recognition of weak signals of control sensors of various transport systems, including high-speed transport systems on magnetic suspension.
目的:研究由奇数个成员组成的集体(董事会)的多数投票作出的合议制决策的正确概率,如果每个董事会成员的个人决策的正确概率是已知的。Мaterials和方法:伯努利格式,渐近表示,通过几何级数估计,幂级数展开,沃利斯公式,平均的幂标度,Kolmogorov的平均。结果:我们确定,如果每个董事会成员的个人决策的正确概率大于1 / 2,那么随着董事会成员数量的无限增加,合议制决策的正确概率趋于1。得到了表征这种渴望速度的渐近表示和一些双边估计。对于异质董事会(即董事会成员以不同的概率做出正确的个体决策),引入合议平均的概念作为平均特征,可以用保留合议决策的概率来代替董事会各成员的个体概率。证明了大学平均的存在性和唯一性。我们推导了一个合众不等式,证明了一组数的合众平均不小于同一组数的几何平均,且只有在所有数彼此相等的情况下,合众平均才会成立。学院不等式作为一种模拟和补充已知的一组不等式,建立了不同平均数之间的联系(例如,算术平均数和几何平均数的柯西不等式)。结论:因此,研究结果完全满足在假设条件下确定多数投票作出合议决定的正确概率的目的。结果,我们得到了一个渐近表示和双边估计,表征了争取正确解的速度。对于异质董事会,引入并严格证明了合议平均概念作为平均特征的存在唯一性,在保证合议决策正确概率的前提下,可以用合议平均的个体概率代替。建立了学院平均不小于几何平均的理论基础。所获得的结果的可能应用可以是选举程序的定量评价和解决与提高识别各种运输系统(包括磁悬浮高速运输系统)控制传感器微弱信号的可靠性有关的问题。
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Journal of Transportation Systems Engineering and Information Technology
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