{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T18:23:03Z","timestamp":1770056583571,"version":"3.49.0"},"reference-count":24,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2021,12,16]],"date-time":"2021-12-16T00:00:00Z","timestamp":1639612800000},"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>The urban public transportation system is an important part of urban transportation, and the rationality of public transportation routes layout plays a vital role in the transportation of the city. Improving the efficiency of public transportation can have a positive impact on the operation of the public transportation system. This paper uses complex network theory and the symmetry of the up and down bus routes and stations to establish an urban public transit network model and calculates the probability of passengers choosing different routes in the public transit network according to passenger travel impedance. Based on passenger travel impedance, travel path probability and passenger travel demand, the links are weighed, and the network efficiency calculation method is improved. Finally, the public transit network optimization model was established with network efficiency as the objective function and solved by the ant colony algorithm. In order to verify the effectiveness of the model and the solution method, this paper selects areas in Nanguan District of Changchun City for example analysis. The result shows that the efficiency of the optimized network is 8.5% higher than that of the original network, which proves the feasibility of the optimized model and solution method.<\/jats:p>","DOI":"10.3390\/sym13122436","type":"journal-article","created":{"date-parts":[[2021,12,16]],"date-time":"2021-12-16T21:32:40Z","timestamp":1639690360000},"page":"2436","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Research on Optimization of Urban Public Transport Network Based on Complex Network Theory"],"prefix":"10.3390","volume":"13","author":[{"given":"Zhongyi","family":"Lin","sequence":"first","affiliation":[{"name":"Nanling Campus, College of Transportation, Jilin University, Changchun 130022, China"}]},{"given":"Yang","family":"Cao","sequence":"additional","affiliation":[{"name":"Nanling Campus, College of Transportation, Jilin University, Changchun 130022, China"}]},{"given":"Huasheng","family":"Liu","sequence":"additional","affiliation":[{"name":"Nanling Campus, College of Transportation, Jilin University, Changchun 130022, China"}]},{"given":"Jin","family":"Li","sequence":"additional","affiliation":[{"name":"Nanling Campus, College of Transportation, Jilin University, Changchun 130022, China"}]},{"given":"Shuzhi","family":"Zhao","sequence":"additional","affiliation":[{"name":"Nanling Campus, College of Transportation, Jilin University, Changchun 130022, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,12,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1088","DOI":"10.1016\/j.jclepro.2019.01.086","article-title":"Selection of take-back pattern of vehicle reverse logistics in China via Grey-DEMATEL and Fuzzy-VIKOR combined method","volume":"220","author":"Tian","year":"2019","journal-title":"J. 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