Development of a model of the service system of batch arrivals in the passengers flow of public transport
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2019, Vol 5, Issue 3
Abstract
<p>A mathematical model of the queuing system for the passenger flow of urban public transport is proposed. The resulting model differs from canonical models of queuing theory by taking into account the fundamental features of real systems. Firstly, the service process is divided into different successive service sessions. Secondly, arrival and departures are batch. Thirdly, the arrival rates vary in different service sessions. Fourthly, the laws of distribution of the number of jobs in batch arrivals for different sessions are different. Fifth, the laws of distribution of the number of batch arrivals and departures are also different.</p><p>A criterion of efficiency of the service system is developed. The criterion is based on the calculation of the probability distribution of the service system states at the input and similar distribution at the output. These distributions are determined independently for each service session, into which the entire service cycle is divided. The numerical value of the criterion is set by the ratio of the average number of service rejections to the average number of jobs in the batch arrival for the entire service cycle. It can be used to assess the efficiency of the service system at any selected time interval during the day, because the value of the proposed criterion depends on the length of the interval between sessions, determined by the number of vehicles on the route.</p>The resulting models adequately reflect the functioning of the system, which makes it possible to predict many different situations and evaluate the consequences of proposed solutions. Thus, it becomes possible to predict the provision of the population with public transport and determine quantitative values of efficiency of the urban public transport system
Authors and Affiliations
Lev Raskin, Oksana Sira, Oleksii Palant, Yevgeniy Vodovozov
Keywords
Related Articles
- EP ID EP667121
- DOI 10.15587/1729-4061.2019.180562
- Views 72
- Downloads 0
Investigation of the properties of Ni(OH)2 electrochrome films obtained in the presence of different types of polyvinyl alcohol
<p class="1">Electrochromic films were prepared by cathodic template synthesis in the presence of two types of polyvinyl alcohol: with the hydrolysis degree of 99 % and 85 %. The prepared films show differences in struct...
The study of properties of composite adsorptive materials “silica gel – crystalline hydrate” for heat storage devices
<p>Heat energy storage is one of the most common technical solutions in the conditions of operation of low-potential and renewable energy sources. Adsorption heat energy storage devices based on the composite media “sili...
The ADALINE neuron modification for solving the problem on searching for the reusable functions of the information system
<p>The problem of reducing costs in developing information systems and software products was considered. It was proposed to replace the IT project staff in a number of repeatable processes and the works connected with de...
Development of an integrationanalytical method for the initiation of construction projects of industrial objects
<p class="a"><span lang="EN-US">We studied management processes of initiation of industrial projects. We considered the specific features of industrial objects construction projects that affect a structure of a project l...
Theoretical research into spatial work of a steel-reinforced-concrete statically indeterminate combined structure
<p>The constructed mathematical model and the developed algorithm for spatial calculation of combined steel-reinforced-concrete truss systems make it possible to determine parameters of the stressed-strained state in the...