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Digital plant: methods of discrete-event modeling and optimization of production characteristics 数字工厂:离散事件建模和生产特性优化的方法
IF 0.6 Pub Date : 2021-06-30 DOI: 10.17323/2587-814x.2021.2.7.20
V. Makarov, A. Bakhtizin, G. Beklaryan, A. Akopov
This article presents a new approach to the development of a ‘digital twin’ of a manufacturing enterprise, using a television manufacturing plant as the case study. The feature of the proposed approach is the use of hybrid methods of agent-based modeling and discrete-event simulation in order to implement a simulation model of a complex production process for assembling final products from supplied components. The most important requirement for such a system is the integration of all key chains of a digital plant: conveyor lines, warehouses with components and final products (TVs), sorting and conveyor system, assembly unit, technical control department, packing unit, etc. The proposed simulation model is implemented in the AnyLogic system, which supports the possibility of using agent-based and discrete-event modeling methods within one model. The system also supports using the built-in genetic algorithm to optimize the main parameters of the model: the most important production characteristics (for example, assembly time of a product, the number of employees involved in assembly, quality control and packaging processes). Optimization experiments were completed with the help of the developed model at various intensities of loading conveyor lines with components, various restrictions on labor resources, etc. Three scenarios of the production system behavior are investigated: the absence of the components deficit with the possibility of significantly increasing the labor resource involved, a components deficit while demand for final products is maintained, and the presence of hard restrictions on the number of employees who can be involved in the processes under conditions of components deficit.
本文以一家电视制造工厂为例,提出了一种制造企业“数字孪生”发展的新方法。该方法的特点是使用基于智能体的建模和离散事件仿真的混合方法,以实现从供应部件组装最终产品的复杂生产过程的仿真模型。对这样一个系统最重要的要求是集成数字化工厂的所有关键链:传送带、存放组件和最终产品(tv)的仓库、分拣和传送带系统、装配单元、技术控制部门、包装单元等。提出的仿真模型在AnyLogic系统中实现,该系统支持在一个模型中使用基于代理和离散事件建模方法的可能性。该系统还支持使用内置的遗传算法来优化模型的主要参数:最重要的生产特征(例如,产品的装配时间,参与装配的员工数量,质量控制和包装过程)。利用所建立的模型,在不同强度的带组件的输送线加载、不同的人力资源限制等条件下完成了优化实验。研究了生产系统行为的三种情况:不存在组件赤字,但可能显著增加所涉及的劳动力资源;组件赤字,但对最终产品的需求保持不变;以及在组件赤字条件下,对参与流程的员工数量存在严格限制。
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引用次数: 2
The problem of loss of solutions in the task of searching similar documents: Applying terminology in the construction of a corpus vector model 相似文档搜索中的解丢失问题:在语料库向量模型构建中应用术语
IF 0.6 Pub Date : 2021-06-30 DOI: 10.17323/2587-814x.2021.2.60.74
F. Krasnov, Irina Smaznevich, E. Baskakova
This article considers the problem of finding text documents similar in meaning in the corpus. We investigate a problem arising when developing applied intelligent information systems that is non-detection of a part of solutions by the TF-IDF algorithm: one can lose some document pairs that are similar according to human assessment, but receive a low similarity assessment from the program. A modification of the algorithm, with the replacement of the complete vocabulary with a vocabulary of specific terms is proposed. The addition of thesauri when building a corpus vector model based on a ranking function has not been previously investigated; the use of thesauri has so far been studied only to improve topic models. The purpose of this work is to improve the quality of the solution by minimizing the loss of its significant part and not adding “false similar” pairs of documents. The improvement is provided by the use of a vocabulary of specific terms extracted from the text of the analyzed documents when calculating the TF-IDF values for corpus vector representation. The experiment was carried out on two corpora of structured normative and technical documents united by a subject: state standards related to information technology and to the field of railways. The glossary of specific terms was compiled by automatic analysis of the text of the documents under consideration, and rule-based NER methods were used. It was demonstrated that the calculation of TF-IDF based on the terminology vocabulary gives more relevant results for the problem under study, which confirmed the hypothesis put forward. The proposed method is less dependent on the shortcomings of the text layer (such as recognition errors) than the calculation of the documents’ proximity using the complete vocabulary of the corpus. We determined the factors that can affect the quality of the decision: the way of compiling a terminology vocabulary, the choice of the range of n-grams for the vocabulary, the correctness of the wording of specific terms and the validity of their inclusion in the glossary of the document. The findings can be used to solve applied problems related to the search for documents that are close in meaning, such as semantic search, taking into account the subject area, corporate search in multi-user mode, detection of hidden plagiarism, identification of contradictions in a collection of documents, determination of novelty in documents when building a knowledge base.
本文考虑在语料库中寻找意义相似的文本文档的问题。我们研究了在开发应用智能信息系统时出现的一个问题,即TF-IDF算法无法检测到部分解决方案:根据人类评估,可能会丢失一些相似的文档对,但从程序中获得的相似性评估较低。提出了一种对算法的修改,用特定术语的词汇表替换完整的词汇表。在基于排名函数构建语料库向量模型时添加词库的问题以前没有被研究过;到目前为止,对同义词库的使用的研究只是为了改进主题模型。这项工作的目的是通过最大限度地减少重要部分的损失和不添加“虚假相似”的文档对来提高解决方案的质量。当计算语料库向量表示的TF-IDF值时,通过使用从所分析文档的文本中提取的特定术语的词汇表来提供改进。实验是在两个结构化的规范性和技术性文件语料库上进行的,这两个语料库由一个主题统一:与信息技术和铁路领域相关的国家标准。具体术语的词汇表是通过对所审议文件的文本进行自动分析而编制的,并使用了基于规则的净入学率方法。研究表明,基于术语词汇的TF-IDF计算结果与所研究的问题更为相关,证实了所提出的假设。与使用语料库的完整词汇计算文档的接近度相比,所提出的方法较少依赖于文本层的缺点(如识别错误)。我们确定了可能影响决策质量的因素:汇编术语词汇的方式、词汇的n-gram范围的选择、特定术语措辞的正确性以及将其纳入文件词汇表的有效性。研究结果可用于解决与搜索意义相近的文档相关的应用问题,如考虑主题领域的语义搜索、多用户模式下的公司搜索、隐藏剽窃的检测、文档集合中矛盾的识别、建立知识库时文档新颖性的确定。
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引用次数: 0
Simulation of development of individual heavy industry sectors 单个重工业部门发展的模拟
IF 0.6 Pub Date : 2021-03-31 DOI: 10.17323/2587-814X.2021.1.59.77
E. Kislitsyn, V. Gorodnichev
Nowadays, in the context of the coronavirus crisis, the issue of ensuring the sustainable development of heavy industries is acute However, theoretical and analytical researches alone are not sufficient for this, and economic science needs to develop fundamentally new approaches to the study of the development of industrial sectors This article is devoted to the creation and testing of a simulation model for the development of individual sectors of the economy The object of research is the metallurgical industry, as well as related ore mining, mechanical engineering and production of finished metal products The theoretical basis of the research is a systematic approach that combines the theory of industry markets, economic growth, industrial economics, system dynamics and mathematical economics The main research methods used are system analysis, statistical analysis to identify trends in changes in the main economic indicators, econometric modeling to build production functions, as well as mathematical modeling of macroeconomic systems As a result, a simulation model developed in system dynamics notation is proposed, which makes it possible to evaluate the development of individual industries taking into account various changes This model is built on the basis of the three-sector model of the national economy, where separate adjacent industries connected by dynamic feedback loops are identified as structural elements The paper details the structure of the simulation model based on first-order dynamic equations, balance equations and nonlinear production functions The simulation model allowed us to predict a number of scenarios for the development of metallurgical industries, taking into account changes in the labor force and investment in fixed assets The results of the work can be used for forming proposals on industrial policy, monitoring the condition and efficiency of individual industries © 2021 National Research University, Higher School of Econoimics All rights reserved
如今,在冠状病毒危机的背景下,确保重工业可持续发展的问题十分突出。然而,仅凭理论和分析研究还不够,经济科学需要开发出研究工业部门发展的全新方法本文致力于创建和测试单个经济部门发展的模拟模型。研究对象是冶金行业以及相关的采矿业,机械工程和金属成品生产本研究的理论基础是一种系统的方法,结合了行业市场、经济增长、工业经济学、系统动力学和数学经济学的理论。主要研究方法是系统分析、统计分析,以确定主要经济指标的变化趋势,建立生产函数的计量经济建模,以及宏观经济系统的数学建模。因此,提出了一个以系统动力学表示法开发的模拟模型,该模型可以在考虑各种变化的情况下评估单个行业的发展。该模型是在国民经济三部门模型的基础上建立的,其中通过动态反馈回路连接的独立相邻行业被识别为结构元素。本文详细介绍了基于一阶动力学方程、平衡方程和非线性生产函数的模拟模型的结构。模拟模型使我们能够预测冶金行业发展的多个场景,考虑劳动力和固定资产投资的变化工作结果可用于制定产业政策建议,监测单个行业的状况和效率©2021国立研究型大学高等经济学院保留所有权利
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引用次数: 1
Risk-based efficiency assessment of information systems 基于风险的信息系统效率评估
IF 0.6 Pub Date : 2021-03-31 DOI: 10.17323/2587-814X.2021.1.19.29
E. Isaev, D. Pervukhin, Georgy Rytikov, E. Filyugina, Diana A. Hayrapetyan
The implementation of information systems is aimed at improving the financial performance of a company, creating a transparent reporting system and improving many other competitive factors. However, the acquisition of these benefits does not negate the complexity of making a decision BUSINESS INFORMATICS Vol. 15 No 1 – 2021
信息系统的实施旨在改善公司的财务业绩,建立一个透明的报告系统,并改善许多其他竞争因素。然而,获得这些好处并不能否定做出决策的复杂性。商业信息Vol. 15 No . 1 - 2021
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引用次数: 1
Big data analysis of IoT-based supply chain management considering FMCG industries 基于物联网的快消品供应链管理大数据分析
IF 0.6 Pub Date : 2021-03-31 DOI: 10.17323/2587-814X.2021.1.78.96
H. Nozari, M. Fallah, H. Kazemipoor, S. Najafi
Supply chain is one of the main pillars of manufacturing and industrial companies whose smartness can help business to be intelligent. To this end, the use of innovative technologies to make it smart is always a concern. The smart supply chain utilizes innovative tools to enhance quality, improve performance and facilitate the decision-making process. Internet of things (IoT) is one of the key components of the IT infrastructure for the development of smart supply chains that have high potential for creating sustainability in systems. Furthermore, IoT is one of the most important sources of big data generation. Big data and strategies for data analysis as a deep and powerful solution for optimizing decisions and increasing productivity are growing rapidly. For this reason, this paper attempts to examine informative supply chain development strategies by investigating the supply chain in FMCG industries as a special case and to provide a complete analytical framework for building a sustainable smart supply chain using IoT-based big data analytics. The proposed framework is based on the IoT implementation methodology, with emphasis on the use of input big data and expert reviews. Given the nature of the FMCG industry, this can lead to better production decisions.
供应链是制造业和工业公司的主要支柱之一,它们的智能可以帮助企业实现智能化。为此,使用创新技术使其智能化始终是一个令人担忧的问题。智能供应链利用创新工具来提高质量、提高绩效并促进决策过程。物联网(IoT)是发展智能供应链的IT基础设施的关键组成部分之一,智能供应链在创造系统可持续性方面具有很高的潜力。此外,物联网是大数据生成的最重要来源之一。大数据和数据分析策略作为优化决策和提高生产力的深度而强大的解决方案,正在迅速发展。因此,本文试图通过调查快速消费品行业的供应链作为一个特例来检验信息供应链的发展策略,并为使用基于物联网的大数据分析构建可持续的智能供应链提供一个完整的分析框架。所提出的框架基于物联网实施方法,强调使用输入大数据和专家评审。鉴于快速消费品行业的性质,这可以带来更好的生产决策。
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引用次数: 33
Using out-of-sample Cox–Snell residuals in time-to-event forecasting 在事件预测中使用样本外Cox–Snell残差
IF 0.6 Pub Date : 2021-03-31 DOI: 10.17323/2587-814X.2021.1.7.18
E. Rumyantseva, K. Furmanov
The problem of assessing out-of-sample forecasting performance of event-history models is considered. Time-to-event data are usually incomplete because the event of interest can happen outside the period of observation or not happen at all. In this case, only the shortest possible time is observed and the data are right censored. Traditional accuracy measures like mean absolute or mean squared error cannot be applied directly to censored data, because forecasting errors also remain unobserved. Instead of mean error measures, researchers use rank correlation coefficients: concordance indices by Harrell and Uno and Somers’ Delta. These measures characterize not the distance between the actual and predicted values but the agreement between orderings of predicted and observed times-to-event. Hence, they take almost “ideal” values even in presence of substantial forecasting bias. Another drawback of using correlation measures when selecting a forecasting model is undesirable reduction of a forecast to a point estimate of predicted value. It is rarely possible to predict the timing of an event precisely, and it is reasonable to consider the forecast not as a point estimate but as an estimate of the whole distribution of the variable of interest. The article proposes computing Cox–Snell residuals for the test or validation dataset as a complement to rank correlation coefficients in model selection. Cox–Snell residuals for the correctly specified model are known to have unit exponential distribution, and that allows comparison of the observed out-of-sample performance of a forecasting model to the ideal case. The comparison can be done by plotting the estimate of integrated hazard function of residuals or by calculating the Kolmogorov distance between the observed and the ideal distribution of residuals. The proposed approach is illustrated with an example of selecting a forecasting model for the timing of mortgage termination. BUSINESS INFORMATICS Vol. 15 No 1 – 2021
考虑了事件历史模型的样本外预测性能评估问题。时间到事件的数据通常是不完整的,因为感兴趣的事件可能发生在观察期之外,也可能根本没有发生。在这种情况下,只观察到尽可能短的时间,并对数据进行正确的审查。传统的精度测量,如平均绝对误差或均方误差,不能直接应用于审查数据,因为预测误差也无法观测到。研究人员使用的不是平均误差测量,而是秩相关系数:Harrell和Uno以及Somers’Delta的一致性指数。这些度量的特征不是实际值和预测值之间的距离,而是预测时间和观测时间到事件的顺序之间的一致性。因此,即使在存在大量预测偏差的情况下,它们也会取几乎“理想”的值。在选择预测模型时使用相关性度量的另一个缺点是不希望将预测减少到预测值的点估计。很少有可能准确预测事件的时间,而且不将预测视为点估计,而是将其视为对感兴趣变量的整个分布的估计是合理的。本文建议计算测试或验证数据集的Cox-Snell残差,作为模型选择中对相关系数排序的补充。已知正确指定模型的Cox–Snell残差具有单位指数分布,这允许将预测模型的观测样本外性能与理想情况进行比较。可以通过绘制残差综合危险函数的估计值或通过计算观测到的残差与理想残差分布之间的Kolmogorov距离来进行比较。通过选择抵押贷款终止时间预测模型的例子说明了所提出的方法。商业资讯第15卷第1期-2021
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引用次数: 1
Statistical sustainability of a digital organization 数字组织的统计可持续性
IF 0.6 Pub Date : 2021-03-31 DOI: 10.17323/2587-814X.2021.1.47.58
Vladimir I. Ananyin, Konstantin V. Zimin, M. Lugachev, R. Gimranov
An important feature of a digital organization is its ability to change rapidly. For an organization to remain capable of rapid change, it must be on the brink of resilience, since a resilient organization always resists change. The article examines the borderline state of the organization, which is on the verge of its stability and instability. In this state, the organization begins to lose predictability in the details of behavior, but still retains predictability in general. The authors called this borderline state the statistical sustainability of the organization. The phenomenon of statistical sustainability of an organization is very similar to the property of stability of the frequency of mass events and average values described in mathematical statistics by a similar term. To analyze the nature of the statistical sustainability of the organization, the authors used the ideas of strange attractors and modes with sharpening from the theory of complex systems. A strange attractor is an area of the organization’s behavior that, outside this area, is an area of stability for the organization, and inside it is an area of complete unpredictability. The theory of complex systems has shown that it is in the regions of strange attractors that the conditions for the variability of systems are created, and the theory of modes with aggravation shows the conditions under which this variability can lead to self-organization, that is, the spontaneous emergence of new structures. This article shows that systematic digitalization objectively leads to the formation of the statistical sustainability of the organization and creates the preconditions for maintaining the organization’s ability to make rapid changes. In traditional management, the statistical sustainability of an organization is viewed as a threat and a source of risk. Therefore, in the context of systematic digitalization, traditional approaches to management should be significantly refined.
数字化组织的一个重要特征是其快速变化的能力。一个组织要想保持快速变革的能力,就必须处于韧性的边缘,因为一个有韧性的组织总是抵制变革。本文考察了处于稳定和不稳定边缘的组织的边界状态。在这种状态下,组织开始失去行为细节的可预测性,但总体上仍保持可预测性。作者将这种临界状态称为组织的统计可持续性。一个组织的统计可持续性现象与数理统计中用类似术语描述的群体事件频率和平均值的稳定性非常相似。为了分析组织统计可持续性的本质,作者运用了复杂系统理论中的奇异吸引子和模式的思想。奇怪的吸引器是组织行为的一个区域,在这个区域之外,是组织的稳定区域,而在它内部,是一个完全不可预测的区域。复杂系统理论表明,正是在奇异吸引子区域创造了系统可变性的条件,而模式加重理论表明了这种可变性可以导致自组织的条件,即新结构的自发出现。本文表明,系统数字化客观上导致了组织统计可持续性的形成,并为保持组织快速变化的能力创造了先决条件。在传统管理中,一个组织的统计可持续性被视为一种威胁和风险来源。因此,在系统数字化的背景下,传统的管理方法应该得到显著的改进。
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引用次数: 1
Trends in data mining research: A two-decade review using topic analysis 数据挖掘研究的趋势:使用主题分析的二十年回顾
IF 0.6 Pub Date : 2021-03-31 DOI: 10.17323/2587-814X.2021.1.30.46
Yury Zelenkov, Ekaterina Anisichkina
This work analyses the intellectual structure of data mining as a scientific discipline. To do this, we use topic analysis (namely, latent Dirichlet allocation, DLA) applied to the proceedings of the International Conference on Data Mining (ICDM) for 2001–2019. Using this technique, we identified the nine most significant research flows. For each topic, we analyse the dynamics of its popularity (number of publications) and influence (number of citations). The central topic, which unites all other direction, is General Learning, which includes machine learning algorithms. About 20% of the research efforts were spent on the development of this direction for the entire time under review, however, its influence has declined most recently. The analysis also showed that attention to topics such as Pattern Mining (detecting associations) and Segmentation (object separation algorithms such as clustering) is decreasing. At the same time, the popularity of research related to Recommender Systems, Network Analysis, and Human Behaviour Analysis is growing, which is most likely due to the increasing availability of data and the practical value of these topics. The research direction related to practical Applications of data mining also shows a tendency to grow. The last two topics, Text Mining and Data Streams have attracted steady interest from researchers. The results presented here shed light on the structure and trends of data mining over the past twenty years and allow us to expand our understanding of this scientific discipline. We can argue that in the last five years a new research agenda has been formed, which is characterized by a shift in interest from algorithms to practical applications that affect all aspects of human activity.
这项工作分析了数据挖掘作为一门科学学科的知识结构。为此,我们将主题分析(即潜在狄利克雷分配,DLA)应用于2001-2019年国际数据挖掘会议(ICDM)的会议记录。使用这种技术,我们确定了九个最重要的研究流程。对于每个主题,我们分析其受欢迎程度(出版物数量)和影响力(引用次数)的动态。将所有其他方向结合起来的中心主题是通用学习,其中包括机器学习算法。在整个审查期间,大约20%的研究工作用于该方向的发展,然而,其影响力最近有所下降。分析还表明,对模式挖掘(检测关联)和分割(聚类等对象分离算法)等主题的关注正在减少。与此同时,与推荐系统、网络分析和人类行为分析相关的研究越来越受欢迎,这很可能是由于数据的可用性和这些主题的实用价值的增加。与数据挖掘实际应用相关的研究方向也呈现出增长的趋势。最后两个主题,文本挖掘和数据流吸引了研究人员的持续兴趣。这里提出的结果揭示了数据挖掘在过去二十年的结构和趋势,并使我们能够扩展我们对这一科学学科的理解。我们可以说,在过去的五年里,一个新的研究议程已经形成,其特点是兴趣从算法转向影响人类活动各个方面的实际应用。
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引用次数: 0
Fuzzy production network model for quality assessment of an information system based on microservices 基于微服务的信息系统质量评价模糊生产网络模型
IF 0.6 Pub Date : 2020-12-31 DOI: 10.17323/2587-814x.2020.4.36.46
A. Doljenko, I. Shpolianskaya, S. Glushenko
This article describes the analysis of the quality of microservice architectures, which are one of the main approaches to the creation and maintenance of modern information systems capable of quickly respond to changes in business demands. The implementation of continuous delivery of software components for dynamic business processes of information systems can be carried out by various sets of microservices, the optimal choice of which is a complex multi-alternative task. The paper presents a review of existing approaches to solving the problem, which showed that the development of models for assessing the quality of microservices of information systems requires further elaboration in terms of accounting for uncertainty in the initial data and modes of operation. The authors have proposed an approach to solving the problem of analyzing the quality of a microservice architecture which is implemented on the basis of a fuzzy production network model. The model allows for comprehensive accounting of various parameters (qualitative and quantitative). The article shows the implementation process of the fuzzy production network that was developed to analyze the functional quality of the microservice architecture for processing customer orders using fuzzy modeling software. The results of the analysis will allow managers and system architects to make an informed choice of the microservice architecture of the information system, as well as use it in their reports when arguing the need for scaling the system and increasing the availability of microservices.
本文描述了对微服务体系结构质量的分析,微服务体系结构是创建和维护能够快速响应业务需求变化的现代信息系统的主要方法之一。信息系统动态业务流程的软件组件的持续交付可以通过各种微服务集来实现,微服务集的最佳选择是一个复杂的多备选任务。本文回顾了解决该问题的现有方法,表明评估信息系统微服务质量的模型的发展需要在考虑初始数据和操作模式的不确定性方面进一步阐述。提出了一种基于模糊生产网络模型的微服务体系结构质量分析方法。该模型允许对各种参数(定性和定量)进行综合核算。本文展示了利用模糊建模软件分析客户订单处理微服务体系结构的功能质量而开发的模糊生产网络的实现过程。分析结果将允许管理人员和系统架构师对信息系统的微服务架构做出明智的选择,并在讨论系统扩展和增加微服务可用性的需要时在他们的报告中使用它。
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引用次数: 1
Classification of models and description of trends in assessing the causality of relationships in socio-economic processes 评估社会经济进程中关系因果关系的模型分类和趋势描述
IF 0.6 Pub Date : 2020-12-31 DOI: 10.17323/2587-814x.2020.4.47.61
D. Nazarov
Scientific research of any socio-economic and managerial process can be represented as a chain of reflections on the causes and consequences of this or that phenomenon's occurrence. At the same time, the authors can try not only to answer the question “why?” but also to study and understand the nature of cause-and-effect relationships, to find out the mechanisms of their occurrence, and also to get the answer to the question posed as accurately and reasonably as possible. Each author, using the accumulated experience, offers both qualitative and quantitative methods that allow him to obtain one or another assessment of causality. However, there are not enough articles devoted to a comprehensive review of the methods and technologies of cause-and-effect relationships in socio-economic processes. This article discusses three well-known conceptual approaches to the assessment of causation in socio-economic sciences: successionist causation, configurational causation and generative causation. The author gives his own interpretation of these approaches, builds graphic interpretations, and also offers such concepts as a linear sequence of factors, the causal field, and the causal space of factors in socio-economic processes. Within the framework of these approaches, a classification of mathematical and instrumental models for assessing the causality of relationships in socio-economic processes is given, and trends in the development of these and new models are formulated, taking into account the global transition to a digital format. All of these trends are based on the use of digital technologies in different formats and include descriptions of such formats. The article contains specific author’s examples of causality model implementation in scientific research related to economics and management.
任何社会经济和管理过程的科学研究都可以表示为对这种或那种现象发生的原因和后果的一系列思考。与此同时,作者可以试着不只是回答“为什么?”还要研究和理解因果关系的本质,找出它们发生的机制,并尽可能准确合理地回答所提出的问题。每个作者,利用积累的经验,提供定性和定量的方法,使他能够获得一种或另一种因果关系的评估。但是,没有足够的文章专门全面审查社会经济进程中因果关系的方法和技术。本文讨论了社会经济科学中评估因果关系的三种著名的概念方法:继承因果关系、配置因果关系和生成因果关系。作者对这些方法给出了自己的解释,建立了图形化的解释,并提供了诸如因素的线性序列、因果场和社会经济过程中因素的因果空间等概念。在这些方法的框架内,给出了用于评估社会经济过程中关系因果关系的数学和工具模型的分类,并在考虑到全球向数字格式过渡的情况下,阐述了这些模型和新模型的发展趋势。所有这些趋势都是基于对不同格式的数字技术的使用,并包括对这些格式的描述。本文包含了作者在经济管理科学研究中运用因果关系模型的具体实例。
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引用次数: 1
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