{"id":"https://openalex.org/W1480704642","doi":"https://doi.org/10.1007/3-540-61310-2_5","title":"Integer multicommodity flow problems","display_name":"Integer multicommodity flow problems","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1480704642","doi":"https://doi.org/10.1007/3-540-61310-2_5","mag":"1480704642"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-61310-2_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61310-2_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5010084304","display_name":"Cynthia Barnhart","orcid":"https://orcid.org/0000-0003-2725-2227"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cynthia Barnhart","raw_affiliation_strings":["Massachusetts Institute of Technology, Center for Transportation Studies, 02139, Cambridge, MA, USA","Center for Transportation Studies"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Center for Transportation Studies, 02139, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Center for Transportation Studies","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009865742","display_name":"Christopher A. Hane","orcid":"https://orcid.org/0000-0002-2480-4236"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christopher A. Hane","raw_affiliation_strings":["CAPS Logistics, 30334, Atlanta, Georgia, USA","CAPS Logistics"],"affiliations":[{"raw_affiliation_string":"CAPS Logistics, 30334, Atlanta, Georgia, USA","institution_ids":[]},{"raw_affiliation_string":"CAPS Logistics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012322436","display_name":"Pamela H. Vance","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pamela H. Vance","raw_affiliation_strings":["Industrial and Systems Engineering, Auburn University, 36849, Auburn, AL, USA","Auburn.University"],"affiliations":[{"raw_affiliation_string":"Industrial and Systems Engineering, Auburn University, 36849, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Auburn.University","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010084304"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.972,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.96433878,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"58","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9991000294685364,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9991000294685364,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.998199999332428,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.8992800712585449},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.8074646592140198},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.6439216136932373},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6376913785934448},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.6233822107315063},{"id":"https://openalex.org/keywords/multi-commodity-flow-problem","display_name":"Multi-commodity flow problem","score":0.5868232250213623},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5740557312965393},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5408689379692078},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5345712304115295},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5245214700698853},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.5155341625213623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5136706233024597},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5022234916687012},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.49025657773017883},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.4660315215587616},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.44505298137664795},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4216553270816803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.400241494178772},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1624598205089569}],"concepts":[{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.8992800712585449},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.8074646592140198},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.6439216136932373},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6376913785934448},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.6233822107315063},{"id":"https://openalex.org/C170334043","wikidata":"https://www.wikidata.org/wiki/Q6934437","display_name":"Multi-commodity flow problem","level":3,"score":0.5868232250213623},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5740557312965393},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5408689379692078},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5345712304115295},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5245214700698853},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.5155341625213623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5136706233024597},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5022234916687012},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.49025657773017883},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.4660315215587616},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.44505298137664795},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4216553270816803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.400241494178772},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1624598205089569},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-61310-2_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61310-2_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W187359699","https://openalex.org/W194441499","https://openalex.org/W1489318653","https://openalex.org/W1968143987","https://openalex.org/W1971772321","https://openalex.org/W1977545325","https://openalex.org/W1994431776","https://openalex.org/W2043002484","https://openalex.org/W2046215222","https://openalex.org/W2077122251","https://openalex.org/W2089264681","https://openalex.org/W2105560970","https://openalex.org/W2135638508","https://openalex.org/W2167580124","https://openalex.org/W2505968561","https://openalex.org/W2808512824","https://openalex.org/W3125263067","https://openalex.org/W4254510866","https://openalex.org/W6607619971","https://openalex.org/W6653658844","https://openalex.org/W6992951189"],"related_works":["https://openalex.org/W4230716854","https://openalex.org/W2171830873","https://openalex.org/W1605874004","https://openalex.org/W4236278573","https://openalex.org/W1746476868","https://openalex.org/W2802839594","https://openalex.org/W2613933337","https://openalex.org/W1480704642","https://openalex.org/W1942724698","https://openalex.org/W2079109527"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
