Modeling of Railway Stations Based on Queuing Networks
Among the micro-logistic transport systems, railway stations should be highlighted, such as one of the most important transport infrastructure elements. The efficiency of the transport industry as a whole depends on the quality of their operation. Such systems have a complex multi-level structure, a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/5/2425 |
| _version_ | 1827698178554593280 |
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| author | Igor Bychkov Alexander Kazakov Anna Lempert Maxim Zharkov |
| author_facet | Igor Bychkov Alexander Kazakov Anna Lempert Maxim Zharkov |
| author_sort | Igor Bychkov |
| collection | DOAJ |
| description | Among the micro-logistic transport systems, railway stations should be highlighted, such as one of the most important transport infrastructure elements. The efficiency of the transport industry as a whole depends on the quality of their operation. Such systems have a complex multi-level structure, and the incoming traffic flow often has a stochastic character. It is known that the most effective approach to study the operation of such systems is mathematical modeling. Earlier, we proposed an approach to transport hub modeling using multiphase queuing systems with a batch Markovian arrival process (BMAP) as an incoming flow. In this paper, we develop the method by applying more complex models based on queuing networks that allow us to describe in detail the route of requests within an object with a non-linear hierarchical structure. This allows us to increase the adequacy of modeling and explore a new class of objects—freight railway stations and marshalling yards. Here we present mathematical models of two railway stations, one of which is a freight railway station located in Russia, and the other is a marshalling yard in the USA. The models have the form of queuing networks with BMAP flow. They are implemented as simulation software, and a numerical experiment is carried out. Based on the numerical results, some “bottlenecks” in the structure of the studied stations are determined. Moreover, the risk of switching to an irregular mode of operation is assessed. The proposed method is suitable for describing a wide range of cargo and passenger transport systems, including river ports, seaports, airports, and multimodal transport hubs. It allows a primary analysis of the hub operation and does not need large statistical information for parametric identification. |
| first_indexed | 2024-03-10T13:24:51Z |
| format | Article |
| id | doaj.art-1bf22749105c4f1b89de03f59442c772 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T13:24:51Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-1bf22749105c4f1b89de03f59442c7722023-11-21T09:44:37ZengMDPI AGApplied Sciences2076-34172021-03-01115242510.3390/app11052425Modeling of Railway Stations Based on Queuing NetworksIgor Bychkov0Alexander Kazakov1Anna Lempert2Maxim Zharkov3Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (IDSTU SB RAS), 664033 Irkutsk, RussiaMatrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (IDSTU SB RAS), 664033 Irkutsk, RussiaMatrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (IDSTU SB RAS), 664033 Irkutsk, RussiaMatrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (IDSTU SB RAS), 664033 Irkutsk, RussiaAmong the micro-logistic transport systems, railway stations should be highlighted, such as one of the most important transport infrastructure elements. The efficiency of the transport industry as a whole depends on the quality of their operation. Such systems have a complex multi-level structure, and the incoming traffic flow often has a stochastic character. It is known that the most effective approach to study the operation of such systems is mathematical modeling. Earlier, we proposed an approach to transport hub modeling using multiphase queuing systems with a batch Markovian arrival process (BMAP) as an incoming flow. In this paper, we develop the method by applying more complex models based on queuing networks that allow us to describe in detail the route of requests within an object with a non-linear hierarchical structure. This allows us to increase the adequacy of modeling and explore a new class of objects—freight railway stations and marshalling yards. Here we present mathematical models of two railway stations, one of which is a freight railway station located in Russia, and the other is a marshalling yard in the USA. The models have the form of queuing networks with BMAP flow. They are implemented as simulation software, and a numerical experiment is carried out. Based on the numerical results, some “bottlenecks” in the structure of the studied stations are determined. Moreover, the risk of switching to an irregular mode of operation is assessed. The proposed method is suitable for describing a wide range of cargo and passenger transport systems, including river ports, seaports, airports, and multimodal transport hubs. It allows a primary analysis of the hub operation and does not need large statistical information for parametric identification.https://www.mdpi.com/2076-3417/11/5/2425mathematical modelqueuing theoryrailway stationtraffic flowsimulationrisk assessment |
| spellingShingle | Igor Bychkov Alexander Kazakov Anna Lempert Maxim Zharkov Modeling of Railway Stations Based on Queuing Networks Applied Sciences mathematical model queuing theory railway station traffic flow simulation risk assessment |
| title | Modeling of Railway Stations Based on Queuing Networks |
| title_full | Modeling of Railway Stations Based on Queuing Networks |
| title_fullStr | Modeling of Railway Stations Based on Queuing Networks |
| title_full_unstemmed | Modeling of Railway Stations Based on Queuing Networks |
| title_short | Modeling of Railway Stations Based on Queuing Networks |
| title_sort | modeling of railway stations based on queuing networks |
| topic | mathematical model queuing theory railway station traffic flow simulation risk assessment |
| url | https://www.mdpi.com/2076-3417/11/5/2425 |
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