{"id":"https://openalex.org/W2989720034","doi":"https://doi.org/10.1109/itsc.2019.8916998","title":"Energy-efficient trajectory planning for high-speed trains via an mixed integer linear programming approach","display_name":"Energy-efficient trajectory planning for high-speed trains via an mixed integer linear programming approach","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W2989720034","doi":"https://doi.org/10.1109/itsc.2019.8916998","mag":"2989720034"},"language":"en","primary_location":{"id":"doi:10.1109/itsc.2019.8916998","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itsc.2019.8916998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Intelligent Transportation Systems Conference (ITSC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049506458","display_name":"Fangyi Cheng","orcid":"https://orcid.org/0000-0002-9400-1500"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"F. Cheng","raw_affiliation_strings":["State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038996257","display_name":"Shuai Su","orcid":"https://orcid.org/0000-0001-8412-9853"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"S. Su","raw_affiliation_strings":["State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062016115","display_name":"Mufeng Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141966","display_name":"China Academy of Railway Sciences","ror":"https://ror.org/051wv2j09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210141966"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"M. Zhang","raw_affiliation_strings":["China Academy of Railway Sciences Corporation Limited"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"China Academy of Railway Sciences Corporation Limited","institution_ids":["https://openalex.org/I4210141966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075391032","display_name":"K. Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. Li","raw_affiliation_strings":["National Engineering Research Center of Rail Transportation Operation and Control System"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Engineering Research Center of Rail Transportation Operation and Control System","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067908158","display_name":"Tao Tang","orcid":"https://orcid.org/0000-0001-7838-8525"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"T. Tang","raw_affiliation_strings":["State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060339914","display_name":"Lei Yuan","orcid":"https://orcid.org/0000-0003-4863-4961"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"L. Yuan","raw_affiliation_strings":["State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Traffic Control and Safety, Beijing Jiaotong University, Beijing, P.R.China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3744","last_page":"3749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11568","display_name":"Railway Systems and Energy Efficiency","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11568","display_name":"Railway Systems and Energy Efficiency","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10842","display_name":"Railway Engineering and Dynamics","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/train","display_name":"Train","score":0.7822041511535645},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.745934247970581},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.7310687303543091},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6125059127807617},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5580148696899414},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5461413264274597},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5314565896987915},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4880870580673218},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2733326554298401},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15195098519325256},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08454418182373047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07842963933944702},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0655745267868042}],"concepts":[{"id":"https://openalex.org/C190839683","wikidata":"https://www.wikidata.org/wiki/Q2448197","display_name":"Train","level":2,"score":0.7822041511535645},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.745934247970581},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.7310687303543091},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6125059127807617},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5580148696899414},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5461413264274597},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5314565896987915},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4880870580673218},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2733326554298401},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15195098519325256},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08454418182373047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07842963933944702},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0655745267868042},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itsc.2019.8916998","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itsc.2019.8916998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Intelligent Transportation Systems Conference (ITSC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.9100000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W11936238","https://openalex.org/W1526495097","https://openalex.org/W1571587569","https://openalex.org/W1603678020","https://openalex.org/W1904944567","https://openalex.org/W1965234007","https://openalex.org/W1977696209","https://openalex.org/W1988986641","https://openalex.org/W2010069926","https://openalex.org/W2070392617","https://openalex.org/W2091098082","https://openalex.org/W2095113878","https://openalex.org/W2096536313","https://openalex.org/W2109028470","https://openalex.org/W2109879495","https://openalex.org/W2136357087","https://openalex.org/W2138177972","https://openalex.org/W2505936072","https://openalex.org/W2533696363","https://openalex.org/W6635948928","https://openalex.org/W6639937248","https://openalex.org/W6680658562","https://openalex.org/W6729166707"],"related_works":["https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W2773399470","https://openalex.org/W3116484972","https://openalex.org/W2941986668"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"an":[3,19,102],"energy-efficient":[4,95],"trajectory":[5,96],"planning":[6,97],"approach":[7],"for":[8],"high":[9],"speed":[10,59],"trains":[11],"to":[12,126],"reduce":[13],"the":[14,26,34,43,46,54,62,65,72,83,89,94,128,131,138,147],"traction":[15,35,139],"energy":[16,36,140],"consumption.":[17],"Firstly,":[18],"optimization":[20],"model":[21],"is":[22,99,142,150],"developed":[23],"by":[24,115,144],"defining":[25],"objective":[27],"function":[28,92],"as":[29,53],"a":[30],"weighted":[31],"sum":[32],"of":[33,130],"consumption":[37,141],"and":[38,61,71,93,119],"passengers\u2019":[39],"riding":[40],"comfort.":[41],"Besides":[42],"constraints":[44,85],"in":[45,78],"classic":[47],"optimal":[48],"train":[49,63],"control":[50],"problem":[51,98,111],"(such":[52],"trip":[55],"time,":[56],"running":[57],"resistance,":[58],"limit,":[60],"characteristics),":[64],"discrete":[66],"throttles,":[67],"split":[68],"phase":[69],"zone,":[70],"sectionalized":[73],"tunnel":[74],"resistance":[75],"are":[76,86,124],"introduced":[77],"this":[79],"paper.":[80],"Then,":[81],"all":[82],"nonlinear":[84],"approximated":[87],"through":[88],"piecewise":[90],"affine":[91],"turned":[100],"into":[101,152],"mixed":[103],"integer":[104],"linear":[105],"programming":[106],"(MILP)":[107],"problem.":[108],"The":[109,134],"MILP":[110],"can":[112],"be":[113],"solved":[114],"existing":[116],"solvers":[117],"CPLEX":[118],"YALMIP.":[120],"Finally,":[121],"some":[122],"cases":[123],"conducted":[125],"illustrate":[127],"effectiveness":[129],"proposed":[132],"approach.":[133],"result":[135],"shows":[136],"that":[137],"increased":[143],"4.5%":[145],"when":[146],"ridding":[148],"comfort":[149],"taken":[151],"consideration.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
