Article(id=1308453919189922451, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453915104665783, articleNumber=null, orderNo=null, doi=10.3969/j.issn.1672-6073.2026.02.007, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1747843200000, receivedDateStr=2025-05-22, revisedDate=1760889600000, revisedDateStr=2025-10-20, acceptedDate=null, acceptedDateStr=null, onlineDate=1789889324232, onlineDateStr=2026-09-20, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1789889324232, onlineIssueDateStr=2026-09-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1789889324232, creator=13701087609, updateTime=1789889324232, updator=13701087609, issue=Issue{id=1308453915104665783, tenantId=1146029695717560320, journalId=1146123302524792850, year='2026', volume='39', issue='2', pageStart='1', pageEnd='160', issueExtLink='null', onlineDate='null', pubDate='1775750400000', pubDateStr='2026-04-10', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1789889323259, creator='13701087609', updateTime=1789889766020, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1308455772237615687, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453915104665783, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1308455772237615688, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453915104665783, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=57, endPage=64, ext={EN=ArticleExt(id=1308453919697433236, articleId=1308453919189922451, tenantId=1146029695717560320, journalId=1146123302524792850, language=EN, title=Application Study of Optimization Model and Algorithm for Horizontal Dual lines in Metro Shield Tunnel Section, columnId=1152669335454658940, journalTitle=Urban Rapid Rail Transit, columnName=Academic Discussion, runingTitle=null, highlight=null, articleAbstract=

The horizontal alignment design of urban metro shield sections is prone to being constrained by dense structures and land use, which usually results in increased investment and demolition. An optimization model for dual horizontal alignments in metro shield tunnel sections is proposed, which takes the intersection points of the left line and the right line as independent variables. The specification requirements are transformed as geometric constraints, and penalty terms for land use under-passing and line spacing violations are introduced in the objective function. The model is solved by a collaborative differential evolution algorithm with separate populations for the left and right lines. The case study shows that the proposed model can optimize a 2.7 km horizontal alignment in approximately 150 seconds, reducing the total investment by approximately 0.3%. It automatically avoids control areas and guides the automatic parallel or separated design of horizontal dual lines in shield tunnel sections.

, authors=Tianyang ZHANG¹, Dongying YANG², Xiaomin HU³, Sihan YAN¹, Zeyang LI¹, Min ZENG¹, Yang ZHOU², authorsList=Tianyang ZHANG, Dongying YANG, Xiaomin HU, Sihan YAN, Zeyang LI, Min ZENG, Yang ZHOU, authorCompany=null, correspAuthors=Dongying YANG, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1308453920565654165, articleId=1308453919189922451, tenantId=1146029695717560320, journalId=1146123302524792850, language=CN, title=地铁盾构区间平面双线优化模型与算法应用研究, columnId=1152669335668568445, journalTitle=都市快轨交通, columnName=学术探讨, runingTitle=null, highlight=null, articleAbstract=

针对城市地铁盾构区间平面线形设计易受密集构造物和用地范围控制，导致工程投资和拆迁量增加的问题，以左线交点和右线交点为独立变量，将规范条款转化为几何约束条件，在工程费用目标函数中，加入下穿用地范围和线间距违规2个惩罚项，形成地铁盾构区间平面双线优化模型，并提出采用左线种群、右线种群协同差分进化算法进行模型求解。案例研究表明，该优化模型可在150 s内完成2.7 km平面线形优化，降低总投资约0.3%，实现自动绕避控制区域，引导盾构区间平面双线自动完成并行或分离优化设计。

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章天杨，男，硕士，教授级高级工程师，从事轨道交通总体设计研究，zhang_ty@hdec.com

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章天杨，男，硕士，教授级高级工程师，从事轨道交通总体设计研究，zhang_ty@hdec.com

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