{"id":"https://openalex.org/W1997442930","doi":"https://doi.org/10.1137/s1052623498341879","title":"A Specialized Interior-Point Algorithm for Multicommodity Network Flows","display_name":"A Specialized Interior-Point Algorithm for Multicommodity Network Flows","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1997442930","doi":"https://doi.org/10.1137/s1052623498341879","mag":"1997442930"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623498341879","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623498341879","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5028980040","display_name":"Jordi Castro","orcid":"https://orcid.org/0000-0003-3573-4568"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jordi Castro","raw_affiliation_strings":["Statistics and Operations Research Department, Universitat Polit\u00e8cnica de Catalunya, Campus Sud, Pau Gargallo 5, 08028 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistics and Operations Research Department, Universitat Polit\u00e8cnica de Catalunya, Campus Sud, Pau Gargallo 5, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028980040"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":8.4351,"has_fulltext":false,"cited_by_count":98,"citation_normalized_percentile":{"value":0.98291815,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"3","first_page":"852","last_page":"877"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9959999918937683,"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"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9793999791145325,"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/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.8803585767745972},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.816862940788269},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.751994252204895},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7088717222213745},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6973199248313904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6744117736816406},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6024248003959656},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5895647406578064},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5438734292984009},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41172102093696594},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.38877347111701965}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.8803585767745972},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.816862940788269},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.751994252204895},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7088717222213745},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6973199248313904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6744117736816406},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6024248003959656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5895647406578064},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5438734292984009},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41172102093696594},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.38877347111701965},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1052623498341879","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623498341879","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.330.8715","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.330.8715","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-eio.upc.es/~jcastro/publications/papers/siopt2000.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W97189815","https://openalex.org/W1481831505","https://openalex.org/W1493749856","https://openalex.org/W1518039036","https://openalex.org/W1561880747","https://openalex.org/W1801355583","https://openalex.org/W1977747978","https://openalex.org/W1981053712","https://openalex.org/W1981315194","https://openalex.org/W1981885118","https://openalex.org/W1995616428","https://openalex.org/W2007549096","https://openalex.org/W2015560695","https://openalex.org/W2022321639","https://openalex.org/W2038989598","https://openalex.org/W2045068465","https://openalex.org/W2045721235","https://openalex.org/W2046332585","https://openalex.org/W2047316561","https://openalex.org/W2052321453","https://openalex.org/W2059630705","https://openalex.org/W2146519844","https://openalex.org/W2162499224","https://openalex.org/W2338905098","https://openalex.org/W4230397637","https://openalex.org/W4251460852","https://openalex.org/W4251777496"],"related_works":["https://openalex.org/W2809896915","https://openalex.org/W1592639845","https://openalex.org/W2159515580","https://openalex.org/W2966631139","https://openalex.org/W2146296113","https://openalex.org/W2365612721","https://openalex.org/W1972467547","https://openalex.org/W2063502215","https://openalex.org/W2091325992","https://openalex.org/W2059625160"],"abstract_inverted_index":{"Despite":[0],"the":[1,56,65,68,74,77,82,118,121],"efficiency":[2,75],"shown":[3],"by":[4,63],"interior-point":[5,24],"methods":[6],"in":[7,72],"large-scale":[8],"linear":[9,48],"programming,":[10],"they":[11],"usually":[12],"perform":[13],"poorly":[14],"when":[15],"applied":[16],"to":[17,45,86,109],"multicommodity":[18,90],"flow":[19],"problems.":[20],"The":[21,58,92,115],"new":[22],"specialized":[23],"algorithm":[25,83],"presented":[26],"here":[27],"overcomes":[28],"this":[29],"drawback.":[30],"This":[31],"specialization":[32],"uses":[33],"both":[34],"a":[35,41,47],"preconditioned":[36],"conjugate":[37],"gradient":[38],"solver":[39],"and":[40,112],"sparse":[42],"Cholesky":[43],"factorization":[44],"solve":[46],"system":[49],"of":[50,55,67,76,81,102,107,120],"equations":[51],"at":[52],"each":[53],"iteration":[54],"algorithm.":[57,122],"ad":[59],"hoc":[60],"preconditioner":[61],"developed":[62],"exploiting":[64],"structure":[66],"problem":[69],"is":[70,84],"instrumental":[71],"ensuring":[73],"method.":[78],"An":[79],"implementation":[80],"compared":[85],"state-of-the-art":[87],"packages":[88],"for":[89],"flows.":[91],"computational":[93],"experiments":[94],"were":[95],"carried":[96],"out":[97],"using":[98],"an":[99],"extensive":[100],"set":[101],"test":[103],"problems,":[104],"with":[105],"sizes":[106],"up":[108],"700,000":[110],"variables":[111],"150,000":[113],"constraints.":[114],"results":[116],"show":[117],"effectiveness":[119]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
