{"id":"https://openalex.org/W4399390567","doi":"https://doi.org/10.1007/s42484-024-00161-4","title":"Solving the vehicle routing problem via quantum support vector machines","display_name":"Solving the vehicle routing problem via quantum support vector machines","publication_year":2024,"publication_date":"2024-06-01","ids":{"openalex":"https://openalex.org/W4399390567","doi":"https://doi.org/10.1007/s42484-024-00161-4"},"language":"en","primary_location":{"id":"doi:10.1007/s42484-024-00161-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-024-00161-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00161-4.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00161-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048674390","display_name":"Nishikanta Mohanty","orcid":"https://orcid.org/0000-0003-2955-3082"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]},{"id":"https://openalex.org/I4210091585","display_name":"Quantum (Australia)","ror":"https://ror.org/00bp6rb10","country_code":"AU","type":"company","lineage":["https://openalex.org/I4210091585"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Nishikanta Mohanty","raw_affiliation_strings":["Centre for Quantum Software and Information, University of Technology Sydney, 15 Broadway, Ultimo, Sydney, 2007, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Quantum Software and Information, University of Technology Sydney, 15 Broadway, Ultimo, Sydney, 2007, NSW, Australia","institution_ids":["https://openalex.org/I114017466","https://openalex.org/I4210091585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029478266","display_name":"Bikash K. Behera","orcid":"https://orcid.org/0000-0003-2629-3377"},"institutions":[{"id":"https://openalex.org/I2800176906","display_name":"Welspun (India)","ror":"https://ror.org/01nj2eb64","country_code":"IN","type":"company","lineage":["https://openalex.org/I2800176906"]},{"id":"https://openalex.org/I4210155145","display_name":"Balaji Utthan Sansthan","ror":"https://ror.org/05eq3g745","country_code":"IN","type":"nonprofit","lineage":["https://openalex.org/I4210155145"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bikash K. Behera","raw_affiliation_strings":["Bikash\u2019s Quantum (OPC) Pvt. Ltd., Balindi, Mohanpur, 741246, WB, India","Bikash's Quantum (OPC) Pvt. Ltd., Balindi, Mohanpur, 741246, WB, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bikash\u2019s Quantum (OPC) Pvt. Ltd., Balindi, Mohanpur, 741246, WB, India","institution_ids":["https://openalex.org/I4210155145"]},{"raw_affiliation_string":"Bikash's Quantum (OPC) Pvt. Ltd., Balindi, Mohanpur, 741246, WB, India","institution_ids":["https://openalex.org/I2800176906"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010118641","display_name":"Christopher Ferrie","orcid":"https://orcid.org/0000-0003-2736-9943"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]},{"id":"https://openalex.org/I4210091585","display_name":"Quantum (Australia)","ror":"https://ror.org/00bp6rb10","country_code":"AU","type":"company","lineage":["https://openalex.org/I4210091585"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Christopher Ferrie","raw_affiliation_strings":["Centre for Quantum Software and Information, University of Technology Sydney, 15 Broadway, Ultimo, Sydney, 2007, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Quantum Software and Information, University of Technology Sydney, 15 Broadway, Ultimo, Sydney, 2007, NSW, Australia","institution_ids":["https://openalex.org/I114017466","https://openalex.org/I4210091585"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048674390"],"corresponding_institution_ids":["https://openalex.org/I114017466","https://openalex.org/I4210091585"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":3.7763,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.93909358,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"6","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.972100019454956,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.6148800849914551},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5638425946235657},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5321632623672485},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.4318654239177704},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3419747054576874},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3014301061630249},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14862465858459473}],"concepts":[{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.6148800849914551},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5638425946235657},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5321632623672485},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.4318654239177704},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3419747054576874},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3014301061630249},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14862465858459473},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s42484-024-00161-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-024-00161-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00161-4.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s42484-024-00161-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-024-00161-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-024-00161-4.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6700000166893005}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320967","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399390567.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W2039122980","https://openalex.org/W2061068130","https://openalex.org/W2065704711","https://openalex.org/W2067612530","https://openalex.org/W2084652510","https://openalex.org/W2103956991","https://openalex.org/W2161685427","https://openalex.org/W2174510006","https://openalex.org/W2798434869","https://openalex.org/W2901067438","https://openalex.org/W2903058119","https://openalex.org/W2919844071","https://openalex.org/W2963288033","https://openalex.org/W3004467008","https://openalex.org/W3009313620","https://openalex.org/W3019247915","https://openalex.org/W3037737784","https://openalex.org/W3047378565","https://openalex.org/W3100894865","https://openalex.org/W3102870135","https://openalex.org/W3111162498","https://openalex.org/W3111593685","https://openalex.org/W3124206520","https://openalex.org/W3132927810","https://openalex.org/W3162033670","https://openalex.org/W3197287714","https://openalex.org/W3209612530","https://openalex.org/W4385731975","https://openalex.org/W4390752773"],"related_works":["https://openalex.org/W4312143452","https://openalex.org/W2018691209","https://openalex.org/W4247364272","https://openalex.org/W3133151256","https://openalex.org/W2132920749","https://openalex.org/W2101108574","https://openalex.org/W2157331354","https://openalex.org/W2626773395","https://openalex.org/W3131953714","https://openalex.org/W1575940985"],"abstract_inverted_index":{"Abstract":[0],"The":[1,108],"vehicle":[2,31],"routing":[3],"problem":[4,13],"(VRP)":[5],"is":[6],"an":[7],"example":[8],"of":[9,59,76,103],"a":[10,48,94,118,123,142],"combinatorial":[11],"optimization":[12],"that":[14],"has":[15],"attracted":[16],"academic":[17],"attention":[18],"due":[19],"to":[20,29,33,51,72,90,136],"its":[21],"potential":[22],"use":[23],"in":[24,36,133],"various":[25],"contexts.":[26],"VRP":[27,102,139],"aims":[28],"arrange":[30],"deliveries":[32],"several":[34],"sites":[35],"the":[37,56,77,134,138,150],"most":[38],"efficient":[39],"and":[40,65,85,92,105,144,157],"economical":[41],"manner":[42],"possible.":[43],"Quantum":[44],"machine":[45,97],"learning":[46,98],"offers":[47],"new":[49],"way":[50],"obtain":[52],"solutions":[53,64],"by":[54],"harnessing":[55],"natural":[57],"speedups":[58],"quantum":[60,96,111,120],"effects,":[61],"although":[62],"many":[63],"methodologies":[66],"are":[67,131,154],"modified":[68],"using":[69,117],"classical":[70],"tools":[71],"provide":[73],"excellent":[74],"approximations":[75],"VRP.":[78],"In":[79],"this":[80],"paper,":[81],"we":[82],"employ":[83],"6":[84],"12":[86],"qubit":[87],"circuits,":[88],"respectively,":[89],"build":[91],"evaluate":[93],"hybrid":[95],"approach":[99,109],"for":[100],"solving":[101],"3-":[104],"4-city":[106],"scenarios.":[107],"employs":[110],"support":[112],"vector":[113],"machines":[114],"(QSVMs)":[115],"trained":[116],"variational":[119],"eigensolver":[121],"on":[122],"static":[124],"or":[125],"dynamic":[126],"ansatz.":[127],"Different":[128],"encoding":[129],"strategies":[130],"used":[132],"experiment":[135],"transform":[137],"formulation":[140],"into":[141],"QSVM":[143],"solve":[145],"it.":[146],"Multiple":[147],"optimizers":[148],"from":[149],"IBM":[151],"Qiskit":[152],"framework":[153],"also":[155],"evaluated":[156],"compared":[158]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
