{"id":"https://openalex.org/W2165185787","doi":"https://doi.org/10.1002/net.3230240505","title":"Ripples, complements, and substitutes in singly constrained monotropic parametric network flow problems","display_name":"Ripples, complements, and substitutes in singly constrained monotropic parametric network flow problems","publication_year":1994,"publication_date":"1994-08-01","ids":{"openalex":"https://openalex.org/W2165185787","doi":"https://doi.org/10.1002/net.3230240505","mag":"2165185787"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230240505","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230240505","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/A5101608192","display_name":"Antoine Gautier","orcid":"https://orcid.org/0000-0003-0078-934X"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Antoine Gautier","raw_affiliation_strings":["Faculte\u0301 des Sciences de l'Administration, Universite\u0301 Laval, Que\u0301bec City, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculte\u0301 des Sciences de l'Administration, Universite\u0301 Laval, Que\u0301bec City, Canada","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030418998","display_name":"Frieda Granot","orcid":"https://orcid.org/0000-0002-7083-919X"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Frieda Granot","raw_affiliation_strings":["Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, British Columbia, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, British Columbia, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"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":12.6967,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.98319158,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"5","first_page":"285","last_page":"296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9976999759674072,"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":0.9976999759674072,"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/T10524","display_name":"Traffic control and management","score":0.991599977016449,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5808478593826294},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5727918148040771},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5381380915641785},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.4808410108089447},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2631736993789673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2421632707118988},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08059945702552795}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5808478593826294},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5727918148040771},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5381380915641785},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.4808410108089447},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2631736993789673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2421632707118988},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08059945702552795},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230240505","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230240505","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":19,"referenced_works":["https://openalex.org/W186009904","https://openalex.org/W1504925519","https://openalex.org/W1509335165","https://openalex.org/W1655990431","https://openalex.org/W1977720792","https://openalex.org/W1987508197","https://openalex.org/W1994856874","https://openalex.org/W2002018571","https://openalex.org/W2016359461","https://openalex.org/W2053913299","https://openalex.org/W2061938181","https://openalex.org/W2076840393","https://openalex.org/W2080162662","https://openalex.org/W2095392072","https://openalex.org/W2096171298","https://openalex.org/W2147107018","https://openalex.org/W2155370486","https://openalex.org/W2169627377","https://openalex.org/W3022690009"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4311255633","https://openalex.org/W2001284284","https://openalex.org/W2368007657","https://openalex.org/W4250257362","https://openalex.org/W2352790364","https://openalex.org/W2068289888","https://openalex.org/W2391191500","https://openalex.org/W2365398175"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"extend":[2],"the":[3,31,38,49,66,78,98,101,112,115,118,121,124,130,139,154,164,178],"qualitative":[4],"theory":[5,82],"of":[6,30,37,69,75,83,117,132,156,187],"sensitivity":[7],"analysis":[8],"for":[9,92,163,177,182],"minimum\u2010cost":[10,19],"flow":[11,20],"problems":[12,21],"developed":[13],"by":[14,204],"Granot":[15],"and":[16,85,89,127,159],"Veinott":[17],"to":[18,95,120,145,172],"with":[22],"one":[23],"additional":[24,167],"linear":[25,46,162,200],"constraint.":[26],"Two":[27],"natural":[28],"extensions":[29],"\u201cless":[32],"dependent":[33],"on\u201d":[34],"partial":[35],"ordering":[36],"arcs":[39],"are":[40,134],"presented.":[41],"One":[42],"is":[43,55,143,170],"decidable":[44],"in":[45,57,77,104,114,123,175,199],"time,":[47],"whereas":[48],"other":[50],"yields":[51],"more":[52],"information":[53],"but":[54],"NP\u2010complete":[56,174],"general.":[58],"The":[59,81,108,136],"Ripple":[60],"Theorem":[61],"gives":[62],"upper":[63],"bounds":[64,128],"on":[65,129,150],"absolute":[67],"value":[68,116],"optimal\u2010flow":[70,93],"variations":[71,76],"as":[72],"a":[73,147],"function":[74],"problem":[79],"parameters.":[80],"substitutes":[84,158],"complements":[86],"presents":[87],"necessary":[88],"sufficient":[90],"conditions":[91],"changes":[94,113,133],"consistently":[96],"have":[97,146],"same":[99],"(or":[100],"opposite)":[102],"sign":[103],"two":[105],"given":[106],"arcs.":[107],"Monotonicity":[109],"Theory":[110],"links":[111],"parameters":[119],"change":[122],"optimal":[125],"arc\u2010flows,":[126],"rates":[131],"discussed.":[135],"departure":[137],"from":[138,190],"pure":[140],"network":[141],"structure":[142],"shown":[144,171],"profound":[148],"effect":[149],"computational":[151],"issues.":[152],"Indeed,":[153],"complexity":[155],"determining":[157],"complements,":[160],"although":[161],"unconstrained":[165],"(no":[166],"constraint)":[168],"case,":[169],"be":[173,197],"general":[176],"constrained":[179],"case.":[180],"However,":[181],"all":[183],"intractable":[184],"problems,":[185],"families":[186],"cases":[188],"arise":[189],"easily":[191],"recognizable":[192],"graph":[193],"structures":[194],"which":[195],"can":[196],"computed":[198],"time.":[201],"\u00a9":[202],"1994":[203],"John":[205],"Wiley":[206],"&":[207],"Sons,":[208],"Inc.":[209]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}