{"id":"https://openalex.org/W3154755455","doi":"https://doi.org/10.3390/a14040123","title":"Estimating the Tour Length for the Close Enough Traveling Salesman Problem","display_name":"Estimating the Tour Length for the Close Enough Traveling Salesman Problem","publication_year":2021,"publication_date":"2021-04-12","ids":{"openalex":"https://openalex.org/W3154755455","doi":"https://doi.org/10.3390/a14040123","mag":"3154755455"},"language":"en","primary_location":{"id":"doi:10.3390/a14040123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14040123","pdf_url":"https://www.mdpi.com/1999-4893/14/4/123/pdf","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/1999-4893/14/4/123/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016432423","display_name":"Debdatta Sinha Roy","orcid":"https://orcid.org/0000-0002-4375-1387"},"institutions":[{"id":"https://openalex.org/I4210153485","display_name":"Staples (United States)","ror":"https://ror.org/04yrfkb83","country_code":"US","type":"company","lineage":["https://openalex.org/I4210153485"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Debdatta Sinha Roy","raw_affiliation_strings":["Staples Inc., Framingham, MA 01702, USA"],"affiliations":[{"raw_affiliation_string":"Staples Inc., Framingham, MA 01702, USA","institution_ids":["https://openalex.org/I4210153485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022968381","display_name":"Bruce Golden","orcid":"https://orcid.org/0000-0002-5270-6094"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bruce Golden","raw_affiliation_strings":["Robert H. Smith School of Business, University of Maryland, College Park, MD 20742, USA"],"affiliations":[{"raw_affiliation_string":"Robert H. Smith School of Business, University of Maryland, College Park, MD 20742, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072406931","display_name":"Xingyin Wang","orcid":"https://orcid.org/0000-0002-4021-3954"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xingyin Wang","raw_affiliation_strings":["Engineering Systems and Design, Singapore University of Technology and Design, Singapore 487372, Singapore"],"affiliations":[{"raw_affiliation_string":"Engineering Systems and Design, Singapore University of Technology and Design, Singapore 487372, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055579936","display_name":"Edward Wasil","orcid":"https://orcid.org/0000-0002-8397-4809"},"institutions":[{"id":"https://openalex.org/I181401687","display_name":"American University","ror":"https://ror.org/052w4zt36","country_code":"US","type":"education","lineage":["https://openalex.org/I181401687"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edward Wasil","raw_affiliation_strings":["Kogod School of Business, American University, Washington, DC 20016, USA"],"affiliations":[{"raw_affiliation_string":"Kogod School of Business, American University, Washington, DC 20016, USA","institution_ids":["https://openalex.org/I181401687"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016432423"],"corresponding_institution_ids":["https://openalex.org/I4210153485"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.0378,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80115584,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"14","issue":"4","first_page":"123","last_page":"123"},"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.9009824395179749},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7127879858016968},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6083670854568481},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5842269062995911},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5742140412330627},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5507633090019226},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4910585880279541},{"id":"https://openalex.org/keywords/bottleneck-traveling-salesman-problem","display_name":"Bottleneck traveling salesman problem","score":0.4825291335582733},{"id":"https://openalex.org/keywords/2-opt","display_name":"2-opt","score":0.41183212399482727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3717306852340698},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.08069109916687012}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.9009824395179749},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7127879858016968},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6083670854568481},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5842269062995911},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5742140412330627},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5507633090019226},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4910585880279541},{"id":"https://openalex.org/C7668213","wikidata":"https://www.wikidata.org/wiki/Q4949085","display_name":"Bottleneck traveling salesman problem","level":3,"score":0.4825291335582733},{"id":"https://openalex.org/C106472803","wikidata":"https://www.wikidata.org/wiki/Q291440","display_name":"2-opt","level":3,"score":0.41183212399482727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3717306852340698},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.08069109916687012},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a14040123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14040123","pdf_url":"https://www.mdpi.com/1999-4893/14/4/123/pdf","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:716143cca62b485db8d60d9189b000a9","is_oa":true,"landing_page_url":"https://doaj.org/article/716143cca62b485db8d60d9189b000a9","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 14, Iss 4, p 123 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/14/4/123/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a14040123","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 14; Issue 4; Pages: 123","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a14040123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14040123","pdf_url":"https://www.mdpi.com/1999-4893/14/4/123/pdf","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3154755455.pdf","grobid_xml":"https://content.openalex.org/works/W3154755455.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W33566489","https://openalex.org/W201105387","https://openalex.org/W1515122136","https://openalex.org/W1823091789","https://openalex.org/W1994029369","https://openalex.org/W2014068360","https://openalex.org/W2018702978","https://openalex.org/W2022069507","https://openalex.org/W2053933584","https://openalex.org/W2076892394","https://openalex.org/W2089052211","https://openalex.org/W2093972535","https://openalex.org/W2117257995","https://openalex.org/W2168990813","https://openalex.org/W2253899129","https://openalex.org/W2313008063","https://openalex.org/W2519109668","https://openalex.org/W2528929878","https://openalex.org/W2734835295","https://openalex.org/W2884583022","https://openalex.org/W2896636205","https://openalex.org/W2963351303","https://openalex.org/W2973603239","https://openalex.org/W3154755455","https://openalex.org/W7000979407"],"related_works":["https://openalex.org/W4389782626","https://openalex.org/W4376138746","https://openalex.org/W2359992618","https://openalex.org/W2171568915","https://openalex.org/W1595757466","https://openalex.org/W2361554335","https://openalex.org/W4200179302","https://openalex.org/W3136451934","https://openalex.org/W2975368677","https://openalex.org/W3025823153"],"abstract_inverted_index":{"We":[0,38,73,92],"construct":[1],"empirically":[2],"based":[3],"regression":[4],"models":[5,41,106],"for":[6,96,140],"estimating":[7,118],"the":[8,12,20,28,34,57,61,66,88,108,119,136,141],"tour":[9,63,120,138],"length":[10],"in":[11,33],"Close":[13],"Enough":[14],"Traveling":[15],"Salesman":[16],"Problem":[17],"(CETSP).":[18],"In":[19,122],"CETSP,":[21],"a":[22,50,69,78,97,113],"customer":[23],"is":[24],"considered":[25],"visited":[26],"when":[27],"salesman":[29],"visits":[30],"any":[31],"point":[32],"customer\u2019s":[35],"service":[36],"region.":[37],"build":[39],"our":[40,75,105,127],"using":[42],"as":[43,45],"many":[44],"14":[46],"independent":[47],"variables":[48],"on":[49,77],"set":[51,80,99],"of":[52,56,81,100,117],"780":[53,89],"benchmark":[54,90],"instances":[55,83],"CETSP":[58],"and":[59,111],"compare":[60],"estimated":[62],"lengths":[64,139],"to":[65,87,133],"results":[67,76,95],"from":[68],"Steiner":[70],"zone":[71],"heuristic.":[72],"validate":[74],"new":[79,98],"234":[82],"that":[84,126],"are":[85],"similar":[86],"instances.":[91,103],"also":[93],"generate":[94],"72":[101],"larger":[102],"Overall,":[104],"fit":[107],"data":[109],"well":[110],"do":[112],"very":[114],"good":[115],"job":[116],"length.":[121],"addition,":[123],"we":[124],"show":[125],"modeling":[128],"approach":[129],"can":[130],"be":[131],"used":[132],"accurately":[134],"estimate":[135],"optimal":[137],"CETSP.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
