scholarly journals Application of probability and statistics methods in arrangement of railway transportation

2018 ◽  
Vol 216 ◽  
pp. 02004 ◽  
Author(s):  
Grigory Gefan

Complex economic and mathematical methods are becoming more widespread in training of specialists in the field of railroad communication arrangement. The purpose of this study is to develop an effective methodology for mathematical training of railway transportation specialists on the basis of active training methods. The article deals with application of probabilistic and statistical methods to problems in design of railway transportation, for example, fluctuations in loading of railway stations and distribution of the time interval between arrival of trains. Using the example of the flow of arriving trains, the technology of testing the hypothesis that the time between arrival of trains is distributed according to the exponential law and the hypothesis of independence of events in the flow is displayed in detail. When confirming each of these hypotheses, it must be concluded that the flow of trains arriving at the station is according to the simplest (Poisson’s) model. This conclusion allows using the apparatus of Markov chains to describe a random process.

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 868
Author(s):  
Khrystyna Prysyazhnyk ◽  
Iryna Bazylevych ◽  
Ludmila Mitkova ◽  
Iryna Ivanochko

The homogeneous branching process with migration and continuous time is considered. We investigated the distribution of the period-life τ, i.e., the length of the time interval between the moment when the process is initiated by a positive number of particles and the moment when there are no individuals in the population for the first time. The probability generating function of the random process, which describes the behavior of the process within the period-life, was obtained. The boundary theorem for the period-life of the subcritical or critical branching process with migration was found.


2020 ◽  
Vol 69 (2) ◽  
pp. 215-233
Author(s):  
Dipsikha Sahoo

This article argues that the pattern of urbanization in India has kept pace with the growth of railways during the British period. The colonial railways transformed India’s circulatory regime, which resulted in the emergence of social space. Towns and cities in the hinterlands of the port cities under the railways network became more urbanised. Railways, as a biggest British capitalist manoeuvre, helped in the process of industrialization and growth of trade and commerce. Some towns and cities grew up as major railway stations, terminals or junctions, divisional and zonal headquarters during the British period. The growth of railways is demonstrated in relation to the expansion in transportation of goods, passengers and employment opportunities generated. The article discerns the pattern of railway transportation and infrastructural development, which will help us to comprehend as one of the forces underlying the pattern of urbanisation in India during the British rule.


2017 ◽  
Vol 28 (2) ◽  
pp. 171
Author(s):  
John Robinson ◽  
Alan H. Welsh

Peter Hall, in the forty years of his research career, produced work in both probability and statistics, whose breadth and depth must be regarded as phenomenal. He displayed extraordinary technical skills together with remarkable intuition in developing and applying multifaceted mathematical approaches in the whole of his work. The impact of this wide-ranging use of powerful mathematical methods has had a profound effect on much of modern mathematical statistics. After completing his DPhil at Oxford, he remained in Australia for almost all his career although he was renowned as one of the major international figures in probability and statistics. Peter was a mentor to a large group of post-graduate students and post-doctoral colleagues giving encouragement and guidance and he attracted many research visitors contributing greatly to the whole of Australian statistical research. Remarkably, given his immense research output, he took a significant role in both editorial duties in major international journals and in advocacy for mathematics and statistics in Australia. Peter was a man of great charm whose modest demeanour belied his staggering abilities. His loss to mathematics and statistics is great, but is matched by the personal loss to us and to his many friends.


Author(s):  
Csaba Ilyés ◽  
Valerie A. J. A. Wendo ◽  
Yetzabel Flores Carpio ◽  
Péter Szűcs

AbstractIn recent years water-related issues are increasing globally, some researchers even argue that the global hydrological cycle is accelerating, while the number of meteorological extremities is growing. With the help of large number of available measured data, these changes can be examined with advanced mathematical methods. In the outlined research we were able to collect long precipitation datasets from two different climatical regions, one sample area being Ecuador, the other one being Kenya. Using the methodology of spectral analysis based on the discrete Fourier-transformation, several deterministic components were calculated locally in the otherwise stochastic time series, while by the comparison of the results, also with previous calculations from Hungary, several global precipitation cycles were defined in the time interval between 1980 and 2019. The results of these calculations, the described local, regional, and global precipitation cycles can be a helpful tool for groundwater management, as precipitation is the major resource of groundwater recharge, as well as with the help of these deterministic cycles, precipitation forecasts can be delivered for the areas.


Author(s):  
Арсений Арсеньевич Модестов ◽  
Андрей Петрович Фисенко ◽  
Елена Геннадьевна Бирюкова

Introduction. The main competencies of nursing staff are clinical, communication and digital. Qualitative changes in competencies are associated with evidence-based nursing practice and digitalization of healthcare. The aim is the study the influence of motivational strategy on the development of nursing competencies through the prism of generational theory. Materials and methods. Data from sociological surveys of 317 nurses, assessment of 411 nurses on their participation in nursing research. Results. The use of generational theory and motivation theory by the management of medical organizations contributes to the creation of an atmosphere of professional and personal growth in the team, increases the authority of the nurse profession, and increases clinical, communication and digital competencies. Conclusion. The senior nursing corps is the leading link that responds to new challenges to the nursing profession. Planning for the development of nurses’ competencies should be accompanied by training and other active training methods.


2018 ◽  
Vol 64 ◽  
pp. 207-229
Author(s):  
John Robinson ◽  
Alan H. Welsh

In the 40 years of his research career, Peter Hall produced work in both probability and statistics, the breadth and depth of which must be regarded as phenomenal. He displayed extraordinary technical skills together with remarkable intuition in developing and applying multifaceted mathematical approaches in the whole of his work. The impact of this wide-ranging use of powerful mathematical methods has had a profound effect on much of modern mathematical statistics. After completing his DPhil at Oxford, he remained in Australia for almost all of his career although he was renowned as one of the major international figures in probability and statistics. Peter was a mentor to a large group of postgraduate students and post-doctoral colleagues, giving encouragement and guidance, and he attracted many research visitors, contributing greatly to the whole of Australian statistical research. Remarkably, given his immense research output, he took a significant role both in editorial duties in major international journals and in advocacy for mathematics and statistics in Australia. Peter was a man of great charm whose modest demeanour belied his staggering abilities. His loss to mathematics and statistics is great, but is matched by the personal loss to us and to his many friends.


2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Dezhang Sun ◽  
Xu Wang ◽  
Baitao Sun

Issues of load combinations of earthquakes and heavy trucks are important contents in multihazards bridge design. Currentload resistance factor design(LRFD)specificationsusually treat extreme hazards alone and have no probabilistic basis in extreme load combinations. Earthquake load and heavy truck load are considered as random processes with respective characteristics, and the maximum combined load is not the simple superimposition of their maximum loads. Traditional Ferry Borges-Castaneda model that considers load lasting duration and occurrence probability well describes random process converting to random variables and load combinations, but this model has strict constraint in time interval selection to obtain precise results. Turkstra’s rule considers one load reaching its maximum value in bridge’s service life combined with another load with its instantaneous value (or mean value), which looks more rational, but the results are generally unconservative. Therefore, a modified model is presented here considering both advantages of Ferry Borges-Castaneda's model and Turkstra’s rule. The modified model is based on conditional probability, which can convert random process to random variables relatively easily and consider the nonmaximum factor in load combinations. Earthquake load and heavy truck load combinations are employed to illustrate the model. Finally, the results of a numerical simulation are used to verify the feasibility and rationality of the model.


2017 ◽  
Vol 76 (6) ◽  
pp. 341-347
Author(s):  
O. F. Miroshnichenko ◽  
A. E. Oginskaya

In order to improve the efficiency of long distance transport, it is necessary for all participants in the process to optimize the costs of infrastructure services by introducing advanced technologies for the organization of the transportation process, the maintenance and repair of infrastructure, the quality of passenger service. In addition, it is necessary to improve the management accounting of costs for this type of activity. At present, the attribution of the costs of the owner of the railway infrastructure is regulated by the procedure for the separate accounting of incomes and expenditures by subjects of natural monopolies in the sphere of railway transportation. The article analyzes the dynamics of costs in the provision of infrastructure services in the long-distance, the need to improve the existing procedure for recording costs for a group of articles of the passenger economy, both in the long-distance and in suburban communications, is justified. A new tool for allocating costs by type of activity was proposed on the basis of the survey. The application of the proposed cost accounting mechanism for a group of articles related to passenger service at railway stations will allow forming a financial result more accurately and fairly by production processes and activities, and to reduce the unprofitability of Russian Railways when providing long-distance infrastructure services.


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