The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked
This paper examines some approaches to modeling and managing traffic flows in modern megapolises and proposes using the methods and approaches of the percolation theory. The author sets the task of determining the properties of the transport network (percolation threshold) when designing such networ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/11/1278 |
| _version_ | 1797531672008196096 |
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| author | Anton Aleshkin |
| author_facet | Anton Aleshkin |
| author_sort | Anton Aleshkin |
| collection | DOAJ |
| description | This paper examines some approaches to modeling and managing traffic flows in modern megapolises and proposes using the methods and approaches of the percolation theory. The author sets the task of determining the properties of the transport network (percolation threshold) when designing such networks, based on the calculation of network parameters (average number of connections per crossroads, road network density). Particular attention is paid to the planarity and nonplanarity of the road transport network. Algorithms for building a planar random network (for modeling purposes) and calculating the percolation thresholds in the resulting network model are proposed. The article analyzes the resulting percolation thresholds for road networks with different relationship densities per crossroad and analyzes the effect of network density on the percolation threshold for these structures. This dependence is specified mathematically, which allows predicting the qualitative characteristics of road network structures (percolation thresholds) in their design. The conclusion shows how the change in the planar characteristics of the road network (with adding interchanges to it) can improve its quality characteristics, i.e., its overall capacity. |
| first_indexed | 2024-03-10T10:47:04Z |
| format | Article |
| id | doaj.art-a8602a2dd7014c6f8998211e4adcab9e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T10:47:04Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a8602a2dd7014c6f8998211e4adcab9e2023-11-21T22:30:58ZengMDPI AGMathematics2227-73902021-06-01911127810.3390/math9111278The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are BlockedAnton Aleshkin0Department of Systems Management and Modelling, MIREA—Russian Technological University, 78 Vernadsky Prospect, 119454 Moscow, RussiaThis paper examines some approaches to modeling and managing traffic flows in modern megapolises and proposes using the methods and approaches of the percolation theory. The author sets the task of determining the properties of the transport network (percolation threshold) when designing such networks, based on the calculation of network parameters (average number of connections per crossroads, road network density). Particular attention is paid to the planarity and nonplanarity of the road transport network. Algorithms for building a planar random network (for modeling purposes) and calculating the percolation thresholds in the resulting network model are proposed. The article analyzes the resulting percolation thresholds for road networks with different relationship densities per crossroad and analyzes the effect of network density on the percolation threshold for these structures. This dependence is specified mathematically, which allows predicting the qualitative characteristics of road network structures (percolation thresholds) in their design. The conclusion shows how the change in the planar characteristics of the road network (with adding interchanges to it) can improve its quality characteristics, i.e., its overall capacity.https://www.mdpi.com/2227-7390/9/11/1278increasing traffic capacitypercolation thresholdtransport link densitytransport networkdensity of transport links |
| spellingShingle | Anton Aleshkin The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked Mathematics increasing traffic capacity percolation threshold transport link density transport network density of transport links |
| title | The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked |
| title_full | The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked |
| title_fullStr | The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked |
| title_full_unstemmed | The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked |
| title_short | The Influence of Transport Link Density on Conductivity If Junctions and/or Links Are Blocked |
| title_sort | influence of transport link density on conductivity if junctions and or links are blocked |
| topic | increasing traffic capacity percolation threshold transport link density transport network density of transport links |
| url | https://www.mdpi.com/2227-7390/9/11/1278 |
| work_keys_str_mv | AT antonaleshkin theinfluenceoftransportlinkdensityonconductivityifjunctionsandorlinksareblocked AT antonaleshkin influenceoftransportlinkdensityonconductivityifjunctionsandorlinksareblocked |