{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:53:25Z","timestamp":1761648805547,"version":"build-2065373602"},"reference-count":13,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2020,11,2]],"date-time":"2020-11-02T00:00:00Z","timestamp":1604275200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper presents a binary integer linear programming model based on a dual station at an intersection to make BRT (Bus Rapid Transit) go through the intersection without stopping. This paper first gives the setting of the BRT dual station at the intersection and compares the average BRT delay of the single and dual station at the intersection. Through comparison, it is found that dual station can optimize BRT operations, but there is still room for further optimization. Therefore, this paper establishes a 01 linear programming model based on a dual station. The model takes the shortest travel time of BRT as the optimization objective, and takes the selection of the dual station, green light time of the intersection and cycle time as optimization variables. The case analysis and results show that, compared with the current situation, the average intersection delay of signal priority method, simple dual station method and method proposed in this paper are reduced by 3.51 s (8.6%), 17.27 s (42.17%) and 35.99 s (87.89%); compared with the current situation, the average stopping times at intersection of the signal priority method, simple dual station method and the method proposed in this paper are reduced by \u22123 (\u22129.4%), 2 (6.2%) and 23 (71.8%), respectively. Under the control of the method proposed in this paper, the average intersection delay is 4.96 s, and the average stopping times at the intersection is 0.18. This shows that the optimization model proposed in this paper can greatly reduce BRT delay and parking times. The setting of dual station makes the two stations symmetrical to each other, which conforms to the name of the journal. This paper belongs to the field of Symmetry and other scientific disciplines and engineering.<\/jats:p>","DOI":"10.3390\/sym12111814","type":"journal-article","created":{"date-parts":[[2020,11,2]],"date-time":"2020-11-02T09:04:46Z","timestamp":1604307886000},"page":"1814","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Cooperative Optimization Model of BRT Speed and Timing Based on Dual Station at an Intersection"],"prefix":"10.3390","volume":"12","author":[{"given":"Peng","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Automobile and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuangxi","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Automobile and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pengfei","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Automobile and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenquan","family":"Li","sequence":"additional","affiliation":[{"name":"School of Transportation, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Shah, S.A.R., Shahzad, M., Ahmad, N., Zamad, A., Hussan, S., Aslam, M.A., Khan, A.R., Asif, M.A., Shahzadi, G., and Waseem, M. 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Designing Sustainable Public Transportation: Integrated Optimization of Bus Speed and Holding Time in a Connected Vehicle Environment. Sustainability, 8.","DOI":"10.3390\/su8111170"},{"key":"ref_10","first-page":"40","article-title":"An Optimization Method of Traffic Signal Control Based on Cooperative Vehicle Infrastructure System","volume":"13","author":"Zhang","year":"2013","journal-title":"J. Transp. Syst. Eng. Inf. Technol."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Wu, Z., Tan, G., Shen, J., and Wang, C. (2016, January 1\u20134). A Schedule-based Strategy of transit signal priority and speed guidance in Connected Vehicle environment. Proceedings of the International Conference on Intelligent Transportation Systems (ITSC), Rio de Janeiro, Brazil.","DOI":"10.1109\/ITSC.2016.7795945"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1016\/j.trpro.2020.02.079","article-title":"A Simulation-Optimization Method for Signal Synchronization with Bus Priority and Driver Speed Advisory to Connected Vehicles","volume":"45","author":"Colombaroni","year":"2020","journal-title":"Transp. Res. Procedia"},{"key":"ref_13","first-page":"83","article-title":"Research on BRT Priority Control Method Based on Two Stations at Intersection","volume":"20","author":"Zhang","year":"2020","journal-title":"J. Transp. Syst. Eng. Inf. Technol."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/11\/1814\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:28:03Z","timestamp":1760178483000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/11\/1814"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,2]]},"references-count":13,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2020,11]]}},"alternative-id":["sym12111814"],"URL":"https:\/\/doi.org\/10.3390\/sym12111814","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2020,11,2]]}}}