{"id":"https://openalex.org/W2014377998","doi":"https://doi.org/10.1002/net.3230100105","title":"Maximal expected flow in a network subject to arc failures","display_name":"Maximal expected flow in a network subject to arc failures","publication_year":1980,"publication_date":"1980-03-01","ids":{"openalex":"https://openalex.org/W2014377998","doi":"https://doi.org/10.1002/net.3230100105","mag":"2014377998"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230100105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230100105","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/A5024142959","display_name":"Y.P. Aneja","orcid":"https://orcid.org/0000-0003-0852-2930"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Y. P. Aneja","raw_affiliation_strings":["University of New Brunswick, Fredericton, New Brunswick, Canada","University of New Brunswick Fredericton New Brunswick Canada"],"affiliations":[{"raw_affiliation_string":"University of New Brunswick, Fredericton, New Brunswick, Canada","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"University of New Brunswick Fredericton New Brunswick Canada","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048491326","display_name":"K. P. K. Nair","orcid":null},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"K. P. K. Nair","raw_affiliation_strings":["University of New Brunswick, Fredericton, New Brunswick, Canada","University of New Brunswick Fredericton New Brunswick Canada"],"affiliations":[{"raw_affiliation_string":"University of New Brunswick, Fredericton, New Brunswick, Canada","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"University of New Brunswick Fredericton New Brunswick Canada","institution_ids":["https://openalex.org/I106938459"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024142959"],"corresponding_institution_ids":["https://openalex.org/I106938459"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.54852941,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.67875648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"1","first_page":"45","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9876999855041504,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.6690890789031982},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.6687847375869751},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6494767665863037},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6332470178604126},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.599793553352356},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.5881951451301575},{"id":"https://openalex.org/keywords/maximum-flow-problem","display_name":"Maximum flow problem","score":0.5811004042625427},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5701994895935059},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5387334227561951},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.4996073246002197},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46998751163482666},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.44063428044319153},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.414508581161499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.361208975315094},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13182353973388672},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.13137668371200562}],"concepts":[{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.6690890789031982},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.6687847375869751},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6494767665863037},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6332470178604126},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.599793553352356},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.5881951451301575},{"id":"https://openalex.org/C157469704","wikidata":"https://www.wikidata.org/wiki/Q2585642","display_name":"Maximum flow problem","level":2,"score":0.5811004042625427},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5701994895935059},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5387334227561951},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4996073246002197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46998751163482666},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.44063428044319153},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.414508581161499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.361208975315094},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13182353973388672},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.13137668371200562},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"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/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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:10.1002/net.3230100105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230100105","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W395387967","https://openalex.org/W2021042173","https://openalex.org/W2037258282","https://openalex.org/W2071736369","https://openalex.org/W2135986386","https://openalex.org/W2169528473","https://openalex.org/W4231610975","https://openalex.org/W6659889409"],"related_works":["https://openalex.org/W2048470382","https://openalex.org/W2384679317","https://openalex.org/W1591528168","https://openalex.org/W2911215968","https://openalex.org/W1583787753","https://openalex.org/W2375873432","https://openalex.org/W1570109187","https://openalex.org/W2963592990","https://openalex.org/W2625547693","https://openalex.org/W2011545080"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"a":[2,11,23,56,61,68,96],"network":[3,21,66],"subject":[4],"to":[5],"arc":[6],"failures,":[7],"each":[8,72],"chain":[9,63],"has":[10],"probability":[12],"of":[13,32,40,74,85,87],"failure.":[14],"Therefore":[15],"the":[16,20,34,41,65,75],"maximal":[17],"flow":[18],"in":[19,64],"is":[22,30,82,93,99],"random":[24],"variable.":[25],"The":[26,53,78,91],"problem":[27],"considered":[28],"here":[29,81],"that":[31,86],"maximizing":[33],"expected":[35],"flow.":[36],"An":[37],"arc\u2010chain":[38],"formulation":[39],"problem,":[42],"and":[43,60,89,95],"an":[44,48,83],"algorithm":[45,54,92],"for":[46],"computing":[47],"optimal":[49],"solution":[50],"are":[51],"provided.":[52],"involves":[55],"column":[57,70],"generation":[58],"technique,":[59],"constrained":[62],"provides":[67],"desired":[69],"at":[71],"step":[73],"simplex":[76],"algorithm.":[77],"technique":[79],"presented":[80],"extension":[84],"Ford":[88],"Fulkerson.":[90],"validated,":[94],"geometric":[97],"interpretation":[98],"included.":[100]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}