{"id":"https://openalex.org/W643007399","doi":"https://doi.org/10.1002/(sici)1097-0037(199603)27:2<97::aid-net1>3.0.co;2-8","title":"An optimal algorithm for the mixed Chinese postman problem","display_name":"An optimal algorithm for the mixed Chinese postman problem","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W643007399","doi":"https://doi.org/10.1002/(sici)1097-0037(199603)27:2<97::aid-net1>3.0.co;2-8","mag":"643007399"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199603)27:2<97::aid-net1>3.0.co;2-8","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199603)27:2<97::aid-net1>3.0.co;2-8","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"},"type":"article","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/A5073496189","display_name":"Yves Nobert","orcid":null},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]},{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Yves Nobert","raw_affiliation_strings":["Centre de recherche sur les transports, Universite\u0301 de Montre\u0301al, C.P. 6128, Succursale A, Montre\u0301al, Canada H3C 3J7, and De\u0301partement des sciences administratives, Universite\u0301 du Que\u0301bec a\u0300 Montre\u0301al, 1495 rue Saint-Denis, Montre\u0301al, Canada H3C 3P8"],"affiliations":[{"raw_affiliation_string":"Centre de recherche sur les transports, Universite\u0301 de Montre\u0301al, C.P. 6128, Succursale A, Montre\u0301al, Canada H3C 3J7, and De\u0301partement des sciences administratives, Universite\u0301 du Que\u0301bec a\u0300 Montre\u0301al, 1495 rue Saint-Denis, Montre\u0301al, Canada H3C 3P8","institution_ids":["https://openalex.org/I159129438","https://openalex.org/I70931966"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jean-Claude Picard","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jean-Claude Picard","raw_affiliation_strings":["De\u0301partement des sciences administratives, Universite\u0301 du Que\u0301bec a\u0300 Montre\u0301al, 1495 rue Saint-Denis, Montre\u0301al, Canada H3C 3P8"],"affiliations":[{"raw_affiliation_string":"De\u0301partement des sciences administratives, Universite\u0301 du Que\u0301bec a\u0300 Montre\u0301al, 1495 rue Saint-Denis, Montre\u0301al, Canada H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073496189"],"corresponding_institution_ids":["https://openalex.org/I159129438","https://openalex.org/I70931966"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":1.1515,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74737881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"2","first_page":"97","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9114999771118164,"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":0.9114999771118164,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.6175668835639954},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6002485156059265},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5991017818450928},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5475932955741882},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5304505228996277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46061065793037415},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44434577226638794},{"id":"https://openalex.org/keywords/mixed-graph","display_name":"Mixed graph","score":0.44393375515937805},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.43508070707321167},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4210960865020752},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.4192636013031006},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31913840770721436},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29123571515083313}],"concepts":[{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.6175668835639954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6002485156059265},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5991017818450928},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5475932955741882},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5304505228996277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46061065793037415},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44434577226638794},{"id":"https://openalex.org/C53052385","wikidata":"https://www.wikidata.org/wiki/Q17104046","display_name":"Mixed graph","level":5,"score":0.44393375515937805},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.43508070707321167},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4210960865020752},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.4192636013031006},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31913840770721436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29123571515083313},{"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/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199603)27:2<97::aid-net1>3.0.co;2-8","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199603)27:2<97::aid-net1>3.0.co;2-8","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"},{"id":"mag:643007399","is_oa":false,"landing_page_url":"https://trid.trb.org/view/415105","pdf_url":null,"source":{"id":"https://openalex.org/S4306505856","display_name":"CENTRE DE RECHERCHE SUR LES TRANSPORTS PUBLICATION","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"CENTRE DE RECHERCHE SUR LES TRANSPORTS PUBLICATION","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W609022768","https://openalex.org/W1968384435","https://openalex.org/W2359583529","https://openalex.org/W2369061061","https://openalex.org/W2997737638","https://openalex.org/W2166136730","https://openalex.org/W2039557883","https://openalex.org/W178979937","https://openalex.org/W2099951519","https://openalex.org/W3000250712","https://openalex.org/W2065141624","https://openalex.org/W2076002224","https://openalex.org/W2053763405","https://openalex.org/W2039844201","https://openalex.org/W2135913160","https://openalex.org/W1983132195","https://openalex.org/W2079809585","https://openalex.org/W2569408482","https://openalex.org/W2092519139","https://openalex.org/W2406843818"],"abstract_inverted_index":{"The":[0,17,54],"Chinese":[1,19],"Postman":[2,20],"Problem":[3,21],"is":[4,57,73],"well":[5],"solved":[6],"when":[7],"the":[8,52],"original":[9],"graph":[10],"contains":[11],"only":[12,15],"arcs":[13],"or":[14],"edges.":[16],"mixed":[18],"(MCPP)":[22],"is,":[23],"however,":[24],"NP-complete,":[25],"and":[26,46,81],"very":[27],"few":[28],"papers":[29],"have":[30],"been":[31],"devoted":[32],"to":[33,60],"this":[34,37,70],"problem.":[35],"In":[36],"paper,":[38],"we":[39],"present":[40],"a":[41,47],"new":[42,48],"integer":[43],"programming":[44],"model":[45],"optimal":[49],"algorithm":[50],"for":[51],"MCPP.":[53],"simplex":[55],"method":[56],"used":[58],"iteratively":[59],"obtain":[61],"sharp":[62],"lower":[63],"bounds":[64],"by":[65,75],"solving":[66],"successive":[67],"relaxations":[68],"of":[69],"model.":[71],"Optimality":[72],"achieved":[74],"using":[76],"Gomory":[77],"cuts,":[78],"blossom":[79],"inequalities":[80],"balanced":[82],"set":[83],"constraints.":[84],"Detailed":[85],"computational":[86],"results":[87],"are":[88],"presented.":[89],"\u00a9":[90],"1996":[91],"John":[92],"Wiley":[93],"&":[94],"Sons,":[95],"Inc.":[96]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
