{"id":"https://openalex.org/W2124943299","doi":"https://doi.org/10.1109/acc.2009.5160738","title":"An approximation algorithm for a 2-Depot, heterogeneous vehicle routing problem","display_name":"An approximation algorithm for a 2-Depot, heterogeneous vehicle routing problem","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2124943299","doi":"https://doi.org/10.1109/acc.2009.5160738","mag":"2124943299"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2009.5160738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5160738","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","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/A5049570529","display_name":"Sai Krishna Yadlapalli","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sai Krishna Yadlapalli","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A & M University, College Station, Texas, U.S.A","Department of Mechanical Engineering, Texas A & M University, College Station, U.S.A 77843"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A & M University, College Station, Texas, U.S.A","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A & M University, College Station, U.S.A 77843","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033570895","display_name":"Sivakumar Rathinam","orcid":"https://orcid.org/0000-0002-9223-7456"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sivakumar Rathinam","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A & M University, College Station, Texas, U.S.A","Department of Mechanical Engineering, Texas A & M University, College Station, U.S.A 77843"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A & M University, College Station, Texas, U.S.A","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A & M University, College Station, U.S.A 77843","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102875083","display_name":"Swaroop Darbha","orcid":"https://orcid.org/0000-0001-8377-0657"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Swaroop Darbha","raw_affiliation_strings":["Department of Mechanical Engineering, Texas A & M University, College Station, Texas, U.S.A","Department of Mechanical Engineering, Texas A & M University, College Station, U.S.A 77843"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A & M University, College Station, Texas, U.S.A","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Texas A & M University, College Station, U.S.A 77843","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":2.8394,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89524182,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1730","last_page":"1735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9994999766349792,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9994999766349792,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12288","display_name":"Optimization and Search Problems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/routing","display_name":"Routing (electronic design automation)","score":0.7198019623756409},{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.6892530918121338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6556863784790039},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5391671061515808},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5035914778709412},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.47851812839508057},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.44494253396987915},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38197237253189087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17457294464111328},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.15864044427871704},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1578056812286377}],"concepts":[{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.7198019623756409},{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.6892530918121338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6556863784790039},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5391671061515808},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5035914778709412},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.47851812839508057},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.44494253396987915},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38197237253189087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17457294464111328},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.15864044427871704},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1578056812286377},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2009.5160738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5160738","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1717440967","https://openalex.org/W1969481197","https://openalex.org/W2001139415","https://openalex.org/W2016583826","https://openalex.org/W2053913299","https://openalex.org/W2125690626","https://openalex.org/W2128605322","https://openalex.org/W2128940723","https://openalex.org/W2153142800","https://openalex.org/W2611804663","https://openalex.org/W6637497407"],"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/W1575940985","https://openalex.org/W3131953714"],"abstract_inverted_index":{"Routing":[0],"problems":[1,42],"involving":[2],"heterogeneous":[3,75],"vehicles":[4,23],"naturally":[5],"arise":[6],"in":[7,27,60],"several":[8],"civil":[9],"and":[10,16,52,102],"military":[11],"applications":[12],"due":[13],"to":[14,57],"fuel":[15],"motion":[17,29],"constraints":[18,30],"of":[19,82,88,96],"the":[20,58,61,68,80,94,99],"vehicles.":[21],"These":[22],"can":[24,48],"differ":[25],"either":[26],"their":[28],"or":[31],"sensing":[32],"capabilities.":[33],"Approximation":[34],"algorithms":[35],"are":[36,53],"useful":[37],"for":[38,72],"solving":[39],"these":[40],"routing":[41,77],"because":[43],"they":[44],"produce":[45],"solutions":[46],"that":[47],"be":[49],"efficiently":[50],"computed":[51],"relatively":[54],"less":[55],"sensitive":[56],"noise":[59],"data.":[62],"In":[63],"this":[64],"paper,":[65],"we":[66],"present":[67],"first":[69],"approximation":[70],"algorithm":[71],"a":[73],"2-Depot,":[74],"vehicle":[76],"problem":[78],"when":[79],"cost":[81,95],"direct":[83],"travel":[84,97],"between":[85,98],"any":[86,105],"pair":[87],"locations":[89,101],"is":[90],"no":[91],"costlier":[92],"than":[93],"same":[100],"going":[103],"through":[104],"intermediate":[106],"location.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}