{"id":"https://openalex.org/W3081784207","doi":"https://doi.org/10.1137/19m1286049","title":"Facets of the Stochastic Network Flow Problem","display_name":"Facets of the Stochastic Network Flow Problem","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3081784207","doi":"https://doi.org/10.1137/19m1286049","mag":"3081784207"},"language":"en","primary_location":{"id":"doi:10.1137/19m1286049","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1286049","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/A5055307807","display_name":"Alexander Estes","orcid":"https://orcid.org/0000-0003-4008-4627"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alexander S. Estes","raw_affiliation_strings":["Industrial and Systems Engineering"],"affiliations":[{"raw_affiliation_string":"Industrial and Systems Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035102045","display_name":"Michael O. Ball","orcid":"https://orcid.org/0000-0003-2757-8569"},"institutions":[{"id":"https://openalex.org/I2801167990","display_name":"Smith Family","ror":"https://ror.org/00vjsmz50","country_code":"AU","type":"nonprofit","lineage":["https://openalex.org/I2801167990"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Michael O. Ball","raw_affiliation_strings":["[Robert H. Smith School of Business]"],"affiliations":[{"raw_affiliation_string":"[Robert H. Smith School of Business]","institution_ids":["https://openalex.org/I2801167990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055307807"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.08929228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"30","issue":"3","first_page":"2355","last_page":"2378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9886000156402588,"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/T10524","display_name":"Traffic control and management","score":0.9843999743461609,"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/flow-network","display_name":"Flow network","score":0.6953285336494446},{"id":"https://openalex.org/keywords/minimum-cost-flow-problem","display_name":"Minimum-cost flow problem","score":0.6869398355484009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6763452291488647},{"id":"https://openalex.org/keywords/multi-commodity-flow-problem","display_name":"Multi-commodity flow problem","score":0.6425654292106628},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6348800659179688},{"id":"https://openalex.org/keywords/maximum-flow-problem","display_name":"Maximum flow problem","score":0.5926278829574585},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5120783448219299},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4812347888946533},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.46838265657424927},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4648284912109375},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.45519790053367615},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22207853198051453},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20935270190238953}],"concepts":[{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.6953285336494446},{"id":"https://openalex.org/C99545648","wikidata":"https://www.wikidata.org/wiki/Q2897180","display_name":"Minimum-cost flow problem","level":3,"score":0.6869398355484009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6763452291488647},{"id":"https://openalex.org/C170334043","wikidata":"https://www.wikidata.org/wiki/Q6934437","display_name":"Multi-commodity flow problem","level":3,"score":0.6425654292106628},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6348800659179688},{"id":"https://openalex.org/C157469704","wikidata":"https://www.wikidata.org/wiki/Q2585642","display_name":"Maximum flow problem","level":2,"score":0.5926278829574585},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5120783448219299},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4812347888946533},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.46838265657424927},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4648284912109375},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.45519790053367615},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22207853198051453},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20935270190238953},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1286049","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1286049","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1970516489","https://openalex.org/W1983480531","https://openalex.org/W1999410188","https://openalex.org/W1999465562","https://openalex.org/W2036652785","https://openalex.org/W2058201668","https://openalex.org/W2060416492","https://openalex.org/W2076355050","https://openalex.org/W2084278031","https://openalex.org/W2104292969","https://openalex.org/W2112660220","https://openalex.org/W2119098384","https://openalex.org/W2142343014","https://openalex.org/W2152512857","https://openalex.org/W2153569152","https://openalex.org/W2169441485","https://openalex.org/W3037236558","https://openalex.org/W4246185962"],"related_works":["https://openalex.org/W3035974271","https://openalex.org/W3141113327","https://openalex.org/W2080904092","https://openalex.org/W3161514703","https://openalex.org/W2098682899","https://openalex.org/W4206915070","https://openalex.org/W1994440468","https://openalex.org/W2051329268","https://openalex.org/W2531764854","https://openalex.org/W2182648737"],"abstract_inverted_index":{"We":[0,62,89],"study":[1,72],"a":[2,32,37,58],"type":[3],"of":[4,98,111,115],"network":[5,22,29,52],"flow":[6,14,23,53],"problem":[7,17,24,42,65,97],"that":[8,55,91,109],"we":[9,71,106],"call":[10],"the":[11,19,27,74,96,112],"minimum-cost":[12,21],"F-graph":[13],"problem.":[15],"This":[16,40],"generalizes":[18],"typical":[20],"by":[25],"allowing":[26],"underlying":[28],"to":[30,50],"be":[31,48],"directed":[33,38],"hypergraph":[34],"rather":[35],"than":[36],"graph.":[39],"new":[41],"is":[43,103],"pertinent":[44],"because":[45],"it":[46],"can":[47,107],"used":[49],"model":[51],"problems":[54],"occur":[56],"in":[57],"dynamic,":[59],"stochastic":[60],"environment.":[61],"formulate":[63],"this":[64,94],"as":[66],"an":[67,100],"integer":[68],"program,":[69],"and":[70],"specifically":[73],"case":[75],"where":[76],"every":[77],"node":[78],"has":[79],"at":[80],"least":[81],"one":[82],"outgoing":[83],"edge":[84],"with":[85,93],"no":[86],"capacity":[87],"constraint.":[88],"show":[90,108],"even":[92],"restriction,":[95],"finding":[99],"integral":[101],"solution":[102],"NP-hard.":[104],"However,":[105],"all":[110],"inequality":[113],"constraints":[114],"our":[116],"formulation":[117],"are":[118],"either":[119],"facet-defining":[120],"or":[121],"redundant.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}