DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT

Background. The problem of this work is to develop a methodology for calculating cash throughput, which is based on the well-known formulas for calculating cash throughput, the main innovation of which is to take into account the time spent by trains on acceleration and deceleration en route. Curren...

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Main Authors: O. D. Pokrovskaya, M. A. Marchenko, Ya. V. Kukushkina
Format: Article
Language:English
Published: Science and Innovation Center Publishing House 2023-03-01
Series:International Journal of Advanced Studies
Subjects:
Online Access:http://ijournal-as.com/jour/index.php/ijas/article/view/174
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author O. D. Pokrovskaya
M. A. Marchenko
Ya. V. Kukushkina
author_facet O. D. Pokrovskaya
M. A. Marchenko
Ya. V. Kukushkina
author_sort O. D. Pokrovskaya
collection DOAJ
description Background. The problem of this work is to develop a methodology for calculating cash throughput, which is based on the well-known formulas for calculating cash throughput, the main innovation of which is to take into account the time spent by trains on acceleration and deceleration en route. Currently, in the process of calculating the available capacity, a formal approach is used to determine the removal coefficients, and the site speed is also taken into account, calculated taking into account acceleration and deceleration, but representing only the ratio of the length of a certain section of the railway polygon to the time of the train following it. Materials and/or methods: simulation modeling, economic and mathematical modeling, AnyLogic software package, methods of general systems theory, logistics. Results. An analytical formula is proposed that allows calculating the available throughput with higher accuracy. The results of the study can be used in the dispatch centers of transportation management of JSC “Russian Railways” in order to more fully analyze the operation of the landfill of the road, railway lines or individual sections in order to more fully analyze the work performed on transportation. Conclusion. The article develops a methodology for calculating the available capacity on a railway line with full consideration of the effect of acceleration and braking of trains on their way to the resulting available capacity.
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spelling doaj.art-e2edc45c3922401cbeb260b641015a5e2023-06-09T04:21:32ZengScience and Innovation Center Publishing HouseInternational Journal of Advanced Studies2328-13912227-930X2023-03-0113118119610.12731/2227-930X-2023-13-1-181-196174DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUTO. D. Pokrovskaya0M. A. Marchenko1Ya. V. Kukushkina2Emperor Alexander I St. Petersburg State Transport Univer­sityEmperor Alexander I St. Petersburg State Transport Univer­sityEmperor Alexander I St. Petersburg State Transport UniversityBackground. The problem of this work is to develop a methodology for calculating cash throughput, which is based on the well-known formulas for calculating cash throughput, the main innovation of which is to take into account the time spent by trains on acceleration and deceleration en route. Currently, in the process of calculating the available capacity, a formal approach is used to determine the removal coefficients, and the site speed is also taken into account, calculated taking into account acceleration and deceleration, but representing only the ratio of the length of a certain section of the railway polygon to the time of the train following it. Materials and/or methods: simulation modeling, economic and mathematical modeling, AnyLogic software package, methods of general systems theory, logistics. Results. An analytical formula is proposed that allows calculating the available throughput with higher accuracy. The results of the study can be used in the dispatch centers of transportation management of JSC “Russian Railways” in order to more fully analyze the operation of the landfill of the road, railway lines or individual sections in order to more fully analyze the work performed on transportation. Conclusion. The article develops a methodology for calculating the available capacity on a railway line with full consideration of the effect of acceleration and braking of trains on their way to the resulting available capacity.http://ijournal-as.com/jour/index.php/ijas/article/view/174capacitytrain intervalnon-parallel traffic scheduletraffic speedrailway polygon
spellingShingle O. D. Pokrovskaya
M. A. Marchenko
Ya. V. Kukushkina
DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT
International Journal of Advanced Studies
capacity
train interval
non-parallel traffic schedule
traffic speed
railway polygon
title DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT
title_full DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT
title_fullStr DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT
title_full_unstemmed DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT
title_short DEVELOPMENT OF A MATHEMATICAL MODEL AND AN AUTOMATED ALGORITHM FOR CALCULATING THROUGHPUT
title_sort development of a mathematical model and an automated algorithm for calculating throughput
topic capacity
train interval
non-parallel traffic schedule
traffic speed
railway polygon
url http://ijournal-as.com/jour/index.php/ijas/article/view/174
work_keys_str_mv AT odpokrovskaya developmentofamathematicalmodelandanautomatedalgorithmforcalculatingthroughput
AT mamarchenko developmentofamathematicalmodelandanautomatedalgorithmforcalculatingthroughput
AT yavkukushkina developmentofamathematicalmodelandanautomatedalgorithmforcalculatingthroughput