{"id":"https://openalex.org/W2043821478","doi":"https://doi.org/10.1002/net.3230240703","title":"A network recourse decomposition method for dynamic networks with random arc capacities","display_name":"A network recourse decomposition method for dynamic networks with random arc capacities","publication_year":1994,"publication_date":"1994-10-01","ids":{"openalex":"https://openalex.org/W2043821478","doi":"https://doi.org/10.1002/net.3230240703","mag":"2043821478"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230240703","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230240703","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/A5054833334","display_name":"Warren B. Powell","orcid":"https://orcid.org/0000-0002-4364-7555"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Warren B. Powell","raw_affiliation_strings":["Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08544","Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08544#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08544","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08544#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102114803","display_name":"Raymond K. Cheung","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Raymond K.\u2010M. Cheung","raw_affiliation_strings":["Department of Industrial and Manufacturing Systems Engineering, Iowa State University, Ames, Iowa 50011"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Manufacturing Systems Engineering, Iowa State University, Ames, Iowa 50011","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":4.8196,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.95513913,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"7","first_page":"369","last_page":"384"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.984499990940094,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9772999882698059,"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/subgradient-method","display_name":"Subgradient method","score":0.7346926331520081},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6795686483383179},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.540919840335846},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.5280371904373169},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5064457654953003},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.4994375705718994},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4954720735549927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48777347803115845},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4838244318962097},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.464219331741333},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.4327719211578369},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.41585949063301086},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.41450926661491394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3883056342601776},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12054786086082458}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7346926331520081},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6795686483383179},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.540919840335846},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.5280371904373169},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5064457654953003},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.4994375705718994},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4954720735549927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48777347803115845},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4838244318962097},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.464219331741333},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.4327719211578369},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.41585949063301086},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.41450926661491394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3883056342601776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12054786086082458},{"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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230240703","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230240703","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W34036749","https://openalex.org/W1969007958","https://openalex.org/W1979915705","https://openalex.org/W1981893768","https://openalex.org/W2004920849","https://openalex.org/W2015263936","https://openalex.org/W2020523195","https://openalex.org/W2033793554","https://openalex.org/W2038426159","https://openalex.org/W2040358553","https://openalex.org/W2043633286","https://openalex.org/W2053150849","https://openalex.org/W2118152326","https://openalex.org/W2135986386","https://openalex.org/W2168469008","https://openalex.org/W2169441485","https://openalex.org/W2617045890","https://openalex.org/W4211092921","https://openalex.org/W4231610975"],"related_works":["https://openalex.org/W2037613239","https://openalex.org/W3183857959","https://openalex.org/W4243844638","https://openalex.org/W195910675","https://openalex.org/W2894990380","https://openalex.org/W2363143319","https://openalex.org/W2351035339","https://openalex.org/W1980006501","https://openalex.org/W3032916910","https://openalex.org/W2899851694"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"a":[3,41,60,70],"class":[4],"of":[5,36,43,74,126],"two\u2010stage":[6],"dynamic":[7],"networks":[8],"with":[9],"random":[10,26],"arc":[11],"capacities":[12],"where":[13],"the":[14,17,25,29,37,44,49,65,75,78,82,107,112,127],"decisions":[15],"in":[16,28],"first":[18],"stage":[19,39],"must":[20],"be":[21],"made":[22],"before":[23],"realizing":[24],"quantities":[27],"second":[30,38,79],"stage.":[31,80],"The":[32],"expected":[33,50,66,94,128],"total":[34],"cost":[35],"is":[40,54,85,102],"function":[42,68,73],"first\u2010stage":[45],"decisions,":[46],"known":[47],"as":[48,69],"recourse":[51,67,95,129],"function,":[52],"which":[53],"generally":[55],"intractable.":[56],"This":[57],"paper":[58],"proposes":[59],"new":[61],"method":[62],"to":[63,77,105,110],"approximate":[64],"convex,":[71],"separable":[72],"supplies":[76],"First,":[81],"second\u2010stage":[83],"network":[84],"decomposed":[86],"using":[87],"Lagrangian":[88],"relaxation":[89],"into":[90],"tree":[91],"subproblems":[92],"whose":[93],"functions":[96,130],"are":[97],"numerically":[98],"tractable.":[99],"Subgradient":[100],"optimization":[101],"then":[103],"used":[104],"update":[106],"Lagrange":[108],"multipliers":[109],"improve":[111],"approximations.":[113],"Numerical":[114],"experiments":[115],"show":[116],"that":[117],"this":[118],"structural":[119],"decomposition":[120],"approach":[121],"can":[122],"produce":[123],"high\u2010quality":[124],"approximations":[125],"for":[131],"large":[132],"stochastic":[133],"networks.":[134],"\u00a9":[135],"1994":[136],"by":[137],"John":[138],"Wiley":[139],"&":[140],"Sons,":[141],"Inc.":[142]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}