{"id":"https://openalex.org/W2904920481","doi":"https://doi.org/10.1287/opre.2018.1746","title":"Wasserstein Distance and the Distributionally Robust TSP","display_name":"Wasserstein Distance and the Distributionally Robust TSP","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2904920481","doi":"https://doi.org/10.1287/opre.2018.1746","mag":"2904920481"},"language":"en","primary_location":{"id":"doi:10.1287/opre.2018.1746","is_oa":false,"landing_page_url":"https://doi.org/10.1287/opre.2018.1746","pdf_url":null,"source":{"id":"https://openalex.org/S125775545","display_name":"Operations Research","issn_l":"0030-364X","issn":["0030-364X","1526-5463"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2429/67077","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037655025","display_name":"John Gunnar Carlsson","orcid":"https://orcid.org/0000-0001-5346-8529"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Gunnar Carlsson","raw_affiliation_strings":["Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, California 90089;","Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, California 90089#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-5346-8529","affiliations":[{"raw_affiliation_string":"Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, California 90089;","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, California 90089#TAB#","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059189113","display_name":"Mehdi Behroozi","orcid":"https://orcid.org/0000-0002-8295-3248"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehdi Behroozi","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Northeastern University, Boston, Massachusetts 02115;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Northeastern University, Boston, Massachusetts 02115;","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072042742","display_name":"Kre\u0161imir Mihi\u0107","orcid":"https://orcid.org/0000-0001-7896-2427"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kresimir Mihic","raw_affiliation_strings":["Modeling, Simulation and Optimization Group, Oracle Labs, Belmont, California 94002"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Modeling, Simulation and Optimization Group, Oracle Labs, Belmont, California 94002","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4567,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.94679977,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"66","issue":"6","first_page":"1603","last_page":"1624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9958999752998352,"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":0.9873999953269958,"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":0.6498275399208069},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.590233564376831},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45309147238731384},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44527560472488403},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.43999993801116943},{"id":"https://openalex.org/keywords/wasserstein-metric","display_name":"Wasserstein metric","score":0.4166661500930786},{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.4136263430118561},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39809107780456543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3892245590686798},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1473858654499054},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13515514135360718}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.6498275399208069},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.590233564376831},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45309147238731384},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44527560472488403},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.43999993801116943},{"id":"https://openalex.org/C2777634741","wikidata":"https://www.wikidata.org/wiki/Q768993","display_name":"Wasserstein metric","level":2,"score":0.4166661500930786},{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.4136263430118561},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39809107780456543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3892245590686798},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1473858654499054},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13515514135360718},{"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/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1287/opre.2018.1746","is_oa":false,"landing_page_url":"https://doi.org/10.1287/opre.2018.1746","pdf_url":null,"source":{"id":"https://openalex.org/S125775545","display_name":"Operations Research","issn_l":"0030-364X","issn":["0030-364X","1526-5463"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:circle.library.ubc.ca:2429/67077","is_oa":true,"landing_page_url":"http://hdl.handle.net/2429/67077","pdf_url":null,"source":{"id":"https://openalex.org/S4377196297","display_name":"cIRcle (University of British Columbia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I141945490","host_organization_name":"University of British Columbia","host_organization_lineage":["https://openalex.org/I141945490"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Moving Image"}],"best_oa_location":{"id":"pmh:oai:circle.library.ubc.ca:2429/67077","is_oa":true,"landing_page_url":"http://hdl.handle.net/2429/67077","pdf_url":null,"source":{"id":"https://openalex.org/S4377196297","display_name":"cIRcle (University of British Columbia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I141945490","host_organization_name":"University of British Columbia","host_organization_lineage":["https://openalex.org/I141945490"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Moving Image"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1484551447","https://openalex.org/W1534416612","https://openalex.org/W1551519020","https://openalex.org/W1585160083","https://openalex.org/W1968355947","https://openalex.org/W1972388944","https://openalex.org/W1974861471","https://openalex.org/W1985617197","https://openalex.org/W1990989681","https://openalex.org/W1993599556","https://openalex.org/W1994946127","https://openalex.org/W2007817872","https://openalex.org/W2009348384","https://openalex.org/W2014068360","https://openalex.org/W2014621992","https://openalex.org/W2019038153","https://openalex.org/W2023964406","https://openalex.org/W2026220041","https://openalex.org/W2032916024","https://openalex.org/W2048475323","https://openalex.org/W2048648163","https://openalex.org/W2064155562","https://openalex.org/W2073228814","https://openalex.org/W2079886069","https://openalex.org/W2095036170","https://openalex.org/W2113574878","https://openalex.org/W2135203439","https://openalex.org/W2142474603","https://openalex.org/W2150950109","https://openalex.org/W2152150836","https://openalex.org/W2155735286","https://openalex.org/W2159852530","https://openalex.org/W2164948897","https://openalex.org/W2171328669","https://openalex.org/W2963134136","https://openalex.org/W2963450292","https://openalex.org/W3124405280","https://openalex.org/W4250589301","https://openalex.org/W4299396580"],"related_works":["https://openalex.org/W2119093639","https://openalex.org/W897701776","https://openalex.org/W2495211334","https://openalex.org/W2091717494","https://openalex.org/W2120247922","https://openalex.org/W2512446543","https://openalex.org/W2014751736","https://openalex.org/W2777181279","https://openalex.org/W2950965438","https://openalex.org/W1946015899"],"abstract_inverted_index":{"One":[0],"of":[1,35,51,79,82,101],"the":[2,32,58,75,95],"most":[3],"common":[4],"strategies":[5],"used":[6],"in":[7,13],"large-scale":[8],"logistics":[9],"problems":[10],"is":[11,24],"districting,":[12],"which":[14],"one":[15,28],"divides":[16],"a":[17,44,48,69,80,86,92,99],"service":[18],"region":[19,70],"into":[20],"smaller":[21],"pieces.":[22],"This":[23],"particularly":[25],"useful":[26],"when":[27],"does":[29],"not":[30],"know":[31],"true":[33],"locations":[34],"demand,":[36],"but":[37],"has":[38],"only":[39],"limited":[40],"information":[41],"such":[42],"as":[43,72],"probability":[45],"distribution":[46],"or":[47],"small":[49],"set":[50,81,100],"sample":[52],"data.":[53],"In":[54],"\u201cWasserstein":[55],"Distance":[56],"and":[57],"Distributionally":[59],"Robust":[60],"TSP,\u201d":[61],"Carlsson":[62],"et":[63],"al.":[64],"show":[65],"how":[66],"to":[67,73,98],"partition":[68],"so":[71],"balance":[74],"traveling":[76],"salesman":[77],"tours":[78],"unknown":[83],"points,":[84],"using":[85],"distributionally":[87],"robust":[88],"method":[89],"defined":[90],"by":[91],"bound":[93],"on":[94],"Wasserstein":[96],"distance":[97],"landmark":[102],"points.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-08T08:33:18.762332","created_date":"2025-10-10T00:00:00"}
