Scalable Perimeter Control Strategy of Road Network Based on the Macroscopic Fundamental Diagram
LI Xin1, MAO Jian-nan1, LUO Chen1, LIU Lan1,2
1. School of Transportation and Logistics, Southwest Jiaotong University, Chengdu Sichuan 610031, China;
2. National United Engineering Laboratory of Integrated and Intelligent Transportation, Chengdu Sichuan 610031, China
Abstract To alleviate regional traffic congestion in large areas of the urban zonal road network, an extensible perimeter control strategy based on the macroscopic fundamental diagram is proposed to improve the effectiveness of the entire urban network. The proposed strategy considers the fleet storage capacity of the links, avoids over queuing, and establishes a constraint of perimeter control and a regional feedback control model. A new extended boundary is formed by dynamically adjusting the control boundary of the protected area in real time, and a feedback gate is set at the junction of extended boundary to restrict the traffic flow in the road network of the congested area. To verify the effectiveness of the proposed strategy, a Sioux Falls test network is used as the research area, and the effect of the proposed strategy is evaluated in Vissim. Simulation results show that the implementation of the scalable perimeter control strategy improves the operation index of the road network, and a wide range of congestion is obviously alleviated.
LI Xin,MAO Jian-nan,LUO Chen, et al. Scalable Perimeter Control Strategy of Road Network Based on the Macroscopic Fundamental Diagram[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 59-65.
[1] ZHANG Yong, BAI Yu, YANG Xiao-guang. Strategy of Traffic Gridlock Control for Urban Road Network[J]. China Journal of Highway and Transport, 2010, 23(6):96-102.(in Chinese)
[2] LI Yi-shun, XU Jian-min, SHEN Lü-ou. A Perimeter Control Strategy for Oversaturated Network Preventing Queue Spillback[J].Procedia-Social and Behavioral Sciences,2012,43:418-427.
[3] LI Yi-shun, XU Jian-min, WANG Lin-hong. Active Multi-Layer Perimeter Control Strategy of Oversaturated Traffic Networks[J]. Journal of South China University of Technology:Natural Science Edition, 2012, 40(7):27-32. (in Chinese)
[4] HADDAD J,RAMEZANI M,GEROLIMINIS N.Model Predictive Perimeter Control for Urban Areas with Macroscopic Fundamental Diagram[C]//American Control Conference, 2012. Montreal, Canada:IEEE, 2012.
[5] GEROLIMINIS N,HADDAD J,RAMEZANI M.Optimal Perimeter for Two Urban Regions with Macroscopic Fundamental Diagram:A Model Predictive Approach[J].IEEE Transactions on Intelligent Transportation Systems,2013,14(1):348-359.
[6] ZHAO Jing, MA Wan-jing, WANG Tao, et al. Coordinated Perimeter Flow Control for Two Subareas with Macroscopic Fundamental Diagrams[J]. Transportation System Engineering and Information Technology,2016, 16(1):78-84.(in Chinese)
[7] DU Yi-man, WU Jian-ping, JA Yu-han. MFD-Based Regional Traffic Volume Dynamic Control[J]. Transportation System Engineering and Information Technology, 2014, 14(3):162-167. (in Chinese)
[8] DING Heng, ZhENG Xiao-yan, ZHANG Yu, et al. Optimal Control for Traffic Congested Area Boundary in Macroscopic Traffic Network[J]. China Journal of Highway and Transport, 2017, 30(1):111-120. (in Chinese)
[9] ZHANG Xun-xun, XU Hong-ke, YAN Mao-de. Coordinated Control Strategy for Multi-subarea Based on MFD in Urban Zonal Road Networks[J]. Transportation System Engineering and Information Technology, 2017, 17(1):98-105.(in Chinese)
[10] GEROLIMINIS N,DAGANZO C F.Existence of Urban-scale Macroscopic Fundamental Diagrams:Some Experimental Findings[J].Transportation Research Part B:Methodological,2008,42(9):759-770.
[11] DAGANZO C F.Urban Gridlock:Macroscopic Modeling and Mitigation Approaches[J]. Transportation Research Part B:Methodological,2007,41(1):49-62.
[12] GEROLIMINIS N,DAGANZO C F.Macroscopic Modeling of Traffic in Cities[C]//Transportation Research Board 86th Annual Meeting.Washington, D. C.:Transportation Research Board, 2007:413.
[13] KEYVAN-EKBATANI M, KOUVELAS A, PAPAMICHAIL I, et al.Exploiting the Fundamental Diagram of Urban Networks for Feedback-based Gating[J].Transportation Research Part B:Methodological,2012,46(10):1393-1403.
[14] KEYVAN-EKBATANI M, PAPAGEORGIOU M, PAPAMICHAIL I. Urban Congestion Gating Control Based on Reduced Operational Network Fundamental Diagrams[J].Transportation Research Part C:Emerging Technologies, 2013, 33(4):74-87.
[15] ABOUDOLAS K,GEROLIMINIS N.Perimeter and Boundary Flow Control in Multi-reservoir Heterogeneous Networks[J].Transportation Research Part B:Methodological, 2013, 55(9):265-281.
[16] LEBLANC L J. An Algorithm for the Discrete Network Design Problem[J]. Transportation Science, 1975,9(3):183-199.
[17] LIU Lan, MA Ya-feng. Traffic Congestion Measurement Based on Inflow and Outflow Rates[J]. Journal of Highway and Transportation Research and Development, 2013, 30(3):111-118. (in Chinese)
[18] JI Y,GEROLIMINIS N.Spatial and Temporal Analysis of Congestion in Urban Transportation Networks[C] Transportation Research Board 90th Annual Meeting, Washington, D.C.:Transportation Research Board, 2011:1791-1808.