A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic Demand
Modelling the mixed traffic flows of autonomous vehicles (AVs) and human-driven vehicles (HVs) on highways is challenging. Randomness, fluctuations, and congestion exist in the mixed traffic flows. This paper extends the current literature by proposing an M/G(n)/c/c state-dependent queuing model ope...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi-Wiley
2022-01-01
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| Series: | Journal of Advanced Transportation |
| Online Access: | http://dx.doi.org/10.1155/2022/4625690 |
| _version_ | 1798001762766946304 |
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| author | Juanxiu Zhu Lu Hu Zikang Chen Han Xie |
| author_facet | Juanxiu Zhu Lu Hu Zikang Chen Han Xie |
| author_sort | Juanxiu Zhu |
| collection | DOAJ |
| description | Modelling the mixed traffic flows of autonomous vehicles (AVs) and human-driven vehicles (HVs) on highways is challenging. Randomness, fluctuations, and congestion exist in the mixed traffic flows. This paper extends the current literature by proposing an M/G(n)/c/c state-dependent queuing model operating in a random environment. The fluctuating traffic demand is addressed by arrival rates modulated by the random environment. Meanwhile, a Markovian arrival process (MAP) is incorporated to describe the platoons. We investigate the performance of the mixed traffic flow under the I policy (AVs and HVs travel together in all lanes) and the D policy (one lane is designated to AVs). Numerical experiments reveal the following interesting findings: (1) the fluctuation degree of traffic demand, the traffic intensity, and the penetration rate of AVs play essential roles in determining the performance of mixed traffic flows. (2) The I policy should always be adopted if the travel time is more valuable. In terms of output rate, the choice between the I and the D policies depends on the traffic intensity, SCV of arrival rates and penetration rate. (3) A larger penetration rate is required to completely eliminate congestion on a longer highway segment. |
| first_indexed | 2024-04-11T11:41:22Z |
| format | Article |
| id | doaj.art-931de62d11414cb094a2ff2949e63124 |
| institution | Directory Open Access Journal |
| issn | 2042-3195 |
| language | English |
| last_indexed | 2024-04-11T11:41:22Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi-Wiley |
| record_format | Article |
| series | Journal of Advanced Transportation |
| spelling | doaj.art-931de62d11414cb094a2ff2949e631242022-12-22T04:25:48ZengHindawi-WileyJournal of Advanced Transportation2042-31952022-01-01202210.1155/2022/4625690A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic DemandJuanxiu Zhu0Lu Hu1Zikang Chen2Han Xie3School of ManagementSchool of Transportation and LogisticsSchool of Transportation and LogisticsSchool of ManagementModelling the mixed traffic flows of autonomous vehicles (AVs) and human-driven vehicles (HVs) on highways is challenging. Randomness, fluctuations, and congestion exist in the mixed traffic flows. This paper extends the current literature by proposing an M/G(n)/c/c state-dependent queuing model operating in a random environment. The fluctuating traffic demand is addressed by arrival rates modulated by the random environment. Meanwhile, a Markovian arrival process (MAP) is incorporated to describe the platoons. We investigate the performance of the mixed traffic flow under the I policy (AVs and HVs travel together in all lanes) and the D policy (one lane is designated to AVs). Numerical experiments reveal the following interesting findings: (1) the fluctuation degree of traffic demand, the traffic intensity, and the penetration rate of AVs play essential roles in determining the performance of mixed traffic flows. (2) The I policy should always be adopted if the travel time is more valuable. In terms of output rate, the choice between the I and the D policies depends on the traffic intensity, SCV of arrival rates and penetration rate. (3) A larger penetration rate is required to completely eliminate congestion on a longer highway segment.http://dx.doi.org/10.1155/2022/4625690 |
| spellingShingle | Juanxiu Zhu Lu Hu Zikang Chen Han Xie A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic Demand Journal of Advanced Transportation |
| title | A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic Demand |
| title_full | A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic Demand |
| title_fullStr | A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic Demand |
| title_full_unstemmed | A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic Demand |
| title_short | A Queuing Model for Mixed Traffic Flows on Highways considering Fluctuations in Traffic Demand |
| title_sort | queuing model for mixed traffic flows on highways considering fluctuations in traffic demand |
| url | http://dx.doi.org/10.1155/2022/4625690 |
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