{"id":"https://openalex.org/W2547507533","doi":"https://doi.org/10.3390/a9040074","title":"An Optimization Algorithm for the Design of an Irregularly-Shaped Bridge Based on the Orthogonal Test and Analytic Hierarchy Process","display_name":"An Optimization Algorithm for the Design of an Irregularly-Shaped Bridge Based on the Orthogonal Test and Analytic Hierarchy Process","publication_year":2016,"publication_date":"2016-11-05","ids":{"openalex":"https://openalex.org/W2547507533","doi":"https://doi.org/10.3390/a9040074","mag":"2547507533"},"language":"en","primary_location":{"id":"doi:10.3390/a9040074","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a9040074","pdf_url":"https://www.mdpi.com/1999-4893/9/4/74/pdf?version=1478331421","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/9/4/74/pdf?version=1478331421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101758944","display_name":"Hanbing Liu","orcid":"https://orcid.org/0000-0003-0752-5080"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanbing Liu","raw_affiliation_strings":["College of Transportation, Jilin University, Changchun 130025, China"],"affiliations":[{"raw_affiliation_string":"College of Transportation, Jilin University, Changchun 130025, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001510633","display_name":"Xin He","orcid":"https://orcid.org/0000-0003-3625-7716"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin He","raw_affiliation_strings":["College of Transportation, Jilin University, Changchun 130025, China"],"affiliations":[{"raw_affiliation_string":"College of Transportation, Jilin University, Changchun 130025, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102315031","display_name":"Xianqiang Wang","orcid":"https://orcid.org/0000-0002-9320-076X"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianqiang Wang","raw_affiliation_strings":["College of Transportation, Jilin University, Changchun 130025, China"],"affiliations":[{"raw_affiliation_string":"College of Transportation, Jilin University, Changchun 130025, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023766595","display_name":"Yubo Jiao","orcid":"https://orcid.org/0000-0001-5499-9380"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yubo Jiao","raw_affiliation_strings":["College of Transportation, Jilin University, Changchun 130025, China"],"affiliations":[{"raw_affiliation_string":"College of Transportation, Jilin University, Changchun 130025, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016050559","display_name":"Guang\u2010Ling Song","orcid":"https://orcid.org/0000-0002-9802-6836"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Song","raw_affiliation_strings":["College of Transportation, Jilin University, Changchun 130025, China"],"affiliations":[{"raw_affiliation_string":"College of Transportation, Jilin University, Changchun 130025, China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5023766595"],"corresponding_institution_ids":["https://openalex.org/I194450716"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4038,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70710729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"9","issue":"4","first_page":"74","last_page":"74"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12487","display_name":"Structural Engineering and Vibration Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T12487","display_name":"Structural Engineering and Vibration Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10713","display_name":"Structural Load-Bearing Analysis","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.9923999905586243,"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/analytic-hierarchy-process","display_name":"Analytic hierarchy process","score":0.609883189201355},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.5334935784339905},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.5306277275085449},{"id":"https://openalex.org/keywords/truss","display_name":"Truss","score":0.5003559589385986},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.47212037444114685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4286526143550873},{"id":"https://openalex.org/keywords/optimal-design","display_name":"Optimal design","score":0.41620054841041565},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3402640223503113},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.329677015542984},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1733720898628235},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12872639298439026}],"concepts":[{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.609883189201355},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.5334935784339905},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.5306277275085449},{"id":"https://openalex.org/C173534245","wikidata":"https://www.wikidata.org/wiki/Q1328068","display_name":"Truss","level":2,"score":0.5003559589385986},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.47212037444114685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4286526143550873},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.41620054841041565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3402640223503113},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.329677015542984},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1733720898628235},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12872639298439026},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a9040074","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a9040074","pdf_url":"https://www.mdpi.com/1999-4893/9/4/74/pdf?version=1478331421","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:116ead0a35e840e2a69ea7c5628d465b","is_oa":true,"landing_page_url":"https://doaj.org/article/116ead0a35e840e2a69ea7c5628d465b","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 9, Iss 4, p 74 (2016)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/9/4/74/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a9040074","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 9; Issue 4; Pages: 74","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a9040074","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a9040074","pdf_url":"https://www.mdpi.com/1999-4893/9/4/74/pdf?version=1478331421","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G304975207","display_name":null,"funder_award_id":"JCKY-QKJC06","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6187056373","display_name":null,"funder_award_id":"51378236; 51408258","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2547507533.pdf","grobid_xml":"https://content.openalex.org/works/W2547507533.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1965521503","https://openalex.org/W1983528153","https://openalex.org/W1985133959","https://openalex.org/W1990568985","https://openalex.org/W2015084478","https://openalex.org/W2025835415","https://openalex.org/W2027329497","https://openalex.org/W2031021723","https://openalex.org/W2037608828","https://openalex.org/W2038860749","https://openalex.org/W2076170123","https://openalex.org/W2080737041","https://openalex.org/W2082077259","https://openalex.org/W2082865652","https://openalex.org/W2083984202","https://openalex.org/W2084166597","https://openalex.org/W2093169415","https://openalex.org/W2093625376","https://openalex.org/W2107648511","https://openalex.org/W2157842871","https://openalex.org/W2166135752","https://openalex.org/W2220673401","https://openalex.org/W2352659106","https://openalex.org/W2489602167"],"related_works":["https://openalex.org/W2955404263","https://openalex.org/W2055188469","https://openalex.org/W2365888646","https://openalex.org/W1964482262","https://openalex.org/W2376375441","https://openalex.org/W2392362813","https://openalex.org/W1558658714","https://openalex.org/W1970970891","https://openalex.org/W1998519521","https://openalex.org/W1989474630"],"abstract_inverted_index":{"Irregularly-shaped":[0],"bridges":[1],"are":[2,16,101,153],"usually":[3],"adopted":[4],"to":[5,129,181],"connect":[6],"the":[7,31,56,67,72,90,105,110,115,131,157,165,174,182,188,193,198,202],"main":[8],"bridge":[9,29,226],"and":[10,22,43,71,80,94,121,144,161,190,219],"ramps":[11],"in":[12,23,50,197,213,224],"urban":[13],"overpasses,":[14],"which":[15,186],"under":[17],"significant":[18],"flexion-torsion":[19],"coupling":[20],"effects":[21],"complicated":[24],"stress":[25,68],"states.":[26],"In":[27,53],"irregular-shaped":[28],"design,":[30],"parameters":[32,60,93,148,211],"such":[33],"as":[34],"ramp":[35],"radius,":[36],"bifurcation":[37],"diaphragm":[38],"stiffness,":[39],"box":[40],"girder":[41],"height,":[42],"supporting":[44],"condition":[45],"could":[46],"affect":[47],"structural":[48],"performance":[49],"different":[51],"manners.":[52],"this":[54,214],"paper,":[55],"influence":[57,92,133],"of":[58,75,114,138,147,159,192,201],"various":[59],"on":[61,83,134,156],"three":[62],"indices,":[63],"including":[64],"maximum":[65],"stress,":[66],"variation":[69],"coefficient,":[70],"fundamental":[73],"frequency":[74],"torsional":[76],"vibration,":[77],"is":[78,119,127,179],"investigated":[79],"analyzed":[81],"based":[82,155],"orthogonal":[84,88,117,204],"test":[85,118,205],"method.":[86,169],"Through":[87],"analysis,":[89],"major":[91],"corresponding":[95],"optimal":[96,145],"values":[97,146],"for":[98,149,206,221],"these":[99],"indices":[100],"achieved.":[102],"Combining":[103],"with":[104],"analytic":[106],"hierarchy":[107],"process":[108],"(AHP),":[109],"hierarchical":[111],"structure":[112],"model":[113],"multi-indices":[116,203],"established":[120],"a":[122],"comprehensive":[123,166,175,194],"weight":[124,158,167,176,195],"analysis":[125,168,177,196],"method":[126,178],"proposed":[128],"reflect":[130],"parameter":[132,199,222],"overall":[135,150,183],"mechanical":[136,151],"properties":[137,152],"an":[139,207],"irregularly-shaped":[140,208,225],"bridge.":[141,209],"Influence":[142],"order":[143],"determined":[154],"factors":[160],"levels":[162],"calculated":[163],"by":[164],"The":[170],"results":[171],"indicate":[172],"that":[173],"superior":[180],"balance":[184],"method,":[185],"verifies":[187],"effectiveness":[189],"accuracy":[191],"optimization":[200],"Optimal":[210],"obtained":[212],"paper":[215],"can":[216],"provide":[217],"reference":[218],"guidance":[220],"control":[223],"design.":[227]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}