{"id":"https://openalex.org/W4377021268","doi":"https://doi.org/10.3390/axioms12050489","title":"An Energy-Efficient Optimal Operation Control Strategy for High-Speed Trains via a Symmetric Alternating Direction Method of Multipliers","display_name":"An Energy-Efficient Optimal Operation Control Strategy for High-Speed Trains via a Symmetric Alternating Direction Method of Multipliers","publication_year":2023,"publication_date":"2023-05-18","ids":{"openalex":"https://openalex.org/W4377021268","doi":"https://doi.org/10.3390/axioms12050489"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12050489","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12050489","pdf_url":"https://www.mdpi.com/2075-1680/12/5/489/pdf?version=1684834973","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/5/489/pdf?version=1684834973","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060651611","display_name":"Shan Ma","orcid":"https://orcid.org/0000-0002-1807-744X"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shan Ma","raw_affiliation_strings":["School of Automation, Central South University, Changsha 410083, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064518802","display_name":"Feng Ma","orcid":"https://orcid.org/0000-0002-8047-426X"},"institutions":[{"id":"https://openalex.org/I4210130660","display_name":"Xi'an High Tech University","ror":"https://ror.org/03vt7za95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210130660"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feng Ma","raw_affiliation_strings":["High-Tech Institute of Xi\u2019an, Xi\u2019an 710025, China","High-Tech Institute of Xi'an, Xi'an 710025, China"],"affiliations":[{"raw_affiliation_string":"High-Tech Institute of Xi\u2019an, Xi\u2019an 710025, China","institution_ids":["https://openalex.org/I4210130660"]},{"raw_affiliation_string":"High-Tech Institute of Xi'an, Xi'an 710025, China","institution_ids":["https://openalex.org/I4210130660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088013743","display_name":"Chaoyu Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaoyu Tang","raw_affiliation_strings":["School of Automation, Central South University, Changsha 410083, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064518802"],"corresponding_institution_ids":["https://openalex.org/I4210130660"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.6223,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72625104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"5","first_page":"489","last_page":"489"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11568","display_name":"Railway Systems and Energy Efficiency","score":1.0,"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":1.0,"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/T10842","display_name":"Railway Engineering and Dynamics","score":0.9976999759674072,"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"}},{"id":"https://openalex.org/T12371","display_name":"Electrical Contact Performance and Analysis","score":0.9908000230789185,"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/punctuality","display_name":"Punctuality","score":0.8720052242279053},{"id":"https://openalex.org/keywords/train","display_name":"Train","score":0.8508609533309937},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6555333137512207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6520047187805176},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6019480228424072},{"id":"https://openalex.org/keywords/energy-consumption","display_name":"Energy consumption","score":0.5831599831581116},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5726231336593628},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5155129432678223},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.4595332443714142},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.454534113407135},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4048086404800415},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16921287775039673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1676933467388153},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.061326831579208374},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.057361066341400146}],"concepts":[{"id":"https://openalex.org/C2779548549","wikidata":"https://www.wikidata.org/wiki/Q153487","display_name":"Punctuality","level":2,"score":0.8720052242279053},{"id":"https://openalex.org/C190839683","wikidata":"https://www.wikidata.org/wiki/Q2448197","display_name":"Train","level":2,"score":0.8508609533309937},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6555333137512207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6520047187805176},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6019480228424072},{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.5831599831581116},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5726231336593628},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5155129432678223},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.4595332443714142},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.454534113407135},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4048086404800415},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16921287775039673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1676933467388153},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.061326831579208374},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.057361066341400146},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12050489","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12050489","pdf_url":"https://www.mdpi.com/2075-1680/12/5/489/pdf?version=1684834973","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cd9ad3baaa2845af83a8726bf2c1d2a7","is_oa":true,"landing_page_url":"https://doaj.org/article/cd9ad3baaa2845af83a8726bf2c1d2a7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 5, p 489 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12050489","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12050489","pdf_url":"https://www.mdpi.com/2075-1680/12/5/489/pdf?version=1684834973","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4377021268.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1980183459","https://openalex.org/W2024218361","https://openalex.org/W2054489122","https://openalex.org/W2057211133","https://openalex.org/W2070392617","https://openalex.org/W2072425957","https://openalex.org/W2109028470","https://openalex.org/W2131181636","https://openalex.org/W2165167046","https://openalex.org/W2182319502","https://openalex.org/W2417905091","https://openalex.org/W2523748411","https://openalex.org/W2773075392","https://openalex.org/W2954634356","https://openalex.org/W2963674498","https://openalex.org/W2970581299","https://openalex.org/W2981429947","https://openalex.org/W2986987282","https://openalex.org/W3027838309","https://openalex.org/W3038339139","https://openalex.org/W3100228804","https://openalex.org/W3102961917","https://openalex.org/W3186616813","https://openalex.org/W3195962554","https://openalex.org/W4280635104","https://openalex.org/W4292363360","https://openalex.org/W4293775970","https://openalex.org/W6765040063","https://openalex.org/W6779932442","https://openalex.org/W6838389153"],"related_works":["https://openalex.org/W2766395386","https://openalex.org/W2376773662","https://openalex.org/W428785106","https://openalex.org/W4313598038","https://openalex.org/W2347564323","https://openalex.org/W644248512","https://openalex.org/W2492179096","https://openalex.org/W2968469309","https://openalex.org/W644243560","https://openalex.org/W2808426412"],"abstract_inverted_index":{"Train":[0],"operation":[1,10,16,47],"control":[2,25,42,96],"is":[3,48],"of":[4,23,59,71,77,113],"great":[5],"importance":[6],"in":[7,98],"reducing":[8],"train":[9,46,95],"energy":[11,53],"consumption":[12,54],"and":[13,55],"improving":[14],"railway":[15,33],"efficiency.":[17],"This":[18],"paper":[19],"investigates":[20],"the":[21,52,57,69,72,89,93,104,111,114],"design":[22],"optimal":[24,41,94],"inputs":[26],"for":[27,44],"multiple":[28,45],"trains":[29],"on":[30,68],"a":[31,39],"single":[32],"line":[34],"with":[35],"several":[36],"stations.":[37],"Firstly,":[38],"distributed":[40],"problem":[43],"formulated":[49],"to":[50,79,103],"reduce":[51],"improve":[56],"punctuality":[58],"trains.":[60],"Then,":[61],"we":[62],"propose":[63],"an":[64],"efficient":[65],"algorithm":[66],"based":[67],"framework":[70],"symmetric":[73],"alternating":[74,105],"direction":[75,106],"method":[76,90],"multipliers":[78],"solve":[80],"this":[81],"optimization":[82],"problem.":[83],"Finally,":[84],"numerical":[85],"simulations":[86],"show":[87],"that":[88],"can":[91],"obtain":[92],"sequence":[97],"fewer":[99],"iterative":[100],"steps":[101],"compared":[102],"multiplier":[107],"method,":[108],"thus":[109],"illustrating":[110],"effectiveness":[112],"algorithm.":[115]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-26T23:06:41.788003","created_date":"2023-05-19T00:00:00"}
