{"id":"https://openalex.org/W1980860269","doi":"https://doi.org/10.1109/tsmc.1979.4310130","title":"A Methodology for Environmental Systems Management: Dynamic Application of the Nested Lagrangian Multiplier Method","display_name":"A Methodology for Environmental Systems Management: Dynamic Application of the Nested Lagrangian Multiplier Method","publication_year":1979,"publication_date":"1979-01-01","ids":{"openalex":"https://openalex.org/W1980860269","doi":"https://doi.org/10.1109/tsmc.1979.4310130","mag":"1980860269"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.1979.4310130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.1979.4310130","pdf_url":null,"source":{"id":"https://openalex.org/S76152103","display_name":"IEEE Transactions on Systems Man and Cybernetics","issn_l":"0018-9472","issn":["0018-9472","2168-2909"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://pure.iiasa.ac.at/id/eprint/1042/1/RR-80-12.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078858609","display_name":"Fumiko Seo","orcid":null},"institutions":[{"id":"https://openalex.org/I1317774081","display_name":"International Institute for Applied Systems Analysis","ror":"https://ror.org/02wfhk785","country_code":"AT","type":"funder","lineage":["https://openalex.org/I1317774081"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Fumiko Seo","raw_affiliation_strings":["International Institute for Applied Systems Analysis, Laxenburg, Austria"],"affiliations":[{"raw_affiliation_string":"International Institute for Applied Systems Analysis, Laxenburg, Austria","institution_ids":["https://openalex.org/I1317774081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112718378","display_name":"Masatoshi Sakawa","orcid":null},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masatoshi Sakawa","raw_affiliation_strings":["Department of Systems Engineering, Kobe University, Kobe, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering, Kobe University, Kobe, Japan","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078858609"],"corresponding_institution_ids":["https://openalex.org/I1317774081"],"apc_list":null,"apc_paid":null,"fwci":7.749,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.9596488,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"12","first_page":"794","last_page":"805"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9758999943733215,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9758999943733215,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10969","display_name":"Water resources management and optimization","score":0.9603000283241272,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10698","display_name":"Transportation Planning and Optimization","score":0.9552000164985657,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.7722423076629639},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7178563475608826},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5830572843551636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5733259320259094},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5614479780197144},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.5472462177276611},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.49191784858703613},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4903380870819092},{"id":"https://openalex.org/keywords/economic-shortage","display_name":"Economic shortage","score":0.4888281226158142},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.4657265543937683},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4540179967880249},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.4364015460014343},{"id":"https://openalex.org/keywords/bridging","display_name":"Bridging (networking)","score":0.42757853865623474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2862095832824707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.10966488718986511}],"concepts":[{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.7722423076629639},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7178563475608826},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5830572843551636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5733259320259094},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5614479780197144},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.5472462177276611},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.49191784858703613},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4903380870819092},{"id":"https://openalex.org/C194051981","wikidata":"https://www.wikidata.org/wiki/Q1337691","display_name":"Economic shortage","level":3,"score":0.4888281226158142},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4657265543937683},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4540179967880249},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.4364015460014343},{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.42757853865623474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2862095832824707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.10966488718986511},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsmc.1979.4310130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.1979.4310130","pdf_url":null,"source":{"id":"https://openalex.org/S76152103","display_name":"IEEE Transactions on Systems Man and Cybernetics","issn_l":"0018-9472","issn":["0018-9472","2168-2909"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics","raw_type":"journal-article"},{"id":"pmh:oai:pure.iiasa.ac.at:1042","is_oa":true,"landing_page_url":null,"pdf_url":"http://pure.iiasa.ac.at/id/eprint/1042/1/RR-80-12.pdf","source":{"id":"https://openalex.org/S4306401423","display_name":"IIASA PURE (International Institute of Applied Systems Analysis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1317774081","host_organization_name":"International Institute for Applied Systems Analysis","host_organization_lineage":["https://openalex.org/I1317774081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Monograph"},{"id":"pmh:oai:pure.iiasa.ac.at:12696","is_oa":false,"landing_page_url":"http://pure.iiasa.ac.at/id/eprint/12696/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401423","display_name":"IIASA PURE (International Institute of Applied Systems Analysis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1317774081","host_organization_name":"International Institute for Applied Systems Analysis","host_organization_lineage":["https://openalex.org/I1317774081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:pure.iiasa.ac.at:1042","is_oa":true,"landing_page_url":null,"pdf_url":"http://pure.iiasa.ac.at/id/eprint/1042/1/RR-80-12.pdf","source":{"id":"https://openalex.org/S4306401423","display_name":"IIASA PURE (International Institute of Applied Systems Analysis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1317774081","host_organization_name":"International Institute for Applied Systems Analysis","host_organization_lineage":["https://openalex.org/I1317774081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Monograph"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1980860269.pdf","grobid_xml":"https://content.openalex.org/works/W1980860269.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W614626027","https://openalex.org/W1481747975","https://openalex.org/W1500013949","https://openalex.org/W1521049662","https://openalex.org/W1552582326","https://openalex.org/W1565665162","https://openalex.org/W1970031354","https://openalex.org/W1986808060","https://openalex.org/W1992942450","https://openalex.org/W1997231674","https://openalex.org/W2014985021","https://openalex.org/W2019016749","https://openalex.org/W2036910311","https://openalex.org/W2038091980","https://openalex.org/W2041071620","https://openalex.org/W2043278166","https://openalex.org/W2060256030","https://openalex.org/W2060309920","https://openalex.org/W2071609006","https://openalex.org/W2084925486","https://openalex.org/W2086162313","https://openalex.org/W2094064617","https://openalex.org/W2130300008","https://openalex.org/W2138762173","https://openalex.org/W2140273128","https://openalex.org/W2160090469","https://openalex.org/W2233486197","https://openalex.org/W2244525737","https://openalex.org/W2310516540","https://openalex.org/W2315749593","https://openalex.org/W2511444485","https://openalex.org/W2729412719","https://openalex.org/W3026149606","https://openalex.org/W3135307444","https://openalex.org/W3142300713","https://openalex.org/W3148154162","https://openalex.org/W4210390851","https://openalex.org/W4237854034","https://openalex.org/W4251586218","https://openalex.org/W6740122868"],"related_works":["https://openalex.org/W2002102264","https://openalex.org/W4237964977","https://openalex.org/W1996993548","https://openalex.org/W4285149922","https://openalex.org/W3032916910","https://openalex.org/W4312837919","https://openalex.org/W1510357621","https://openalex.org/W2981882443","https://openalex.org/W2899851694","https://openalex.org/W3143161784"],"abstract_inverted_index":{"In":[0],"this":[1,60],"paper":[2],"an":[3,115],"alternative":[4],"method":[5,67,75,102,131],"for":[6,23,34,86,103,132,140],"solving":[7],"multiobjective":[8,53],"optimization":[9,130],"problems":[10],"is":[11,79,93,112,123,154],"presented.":[12],"We":[13],"are":[14,44,62],"especially":[15],"concerned":[16],"with":[17,83],"bridging":[18],"a":[19,65,128,164],"gap":[20],"between":[21],"procedures":[22],"obtaining":[24],"the":[25,29,35,38,48,71,87,97,100,108,157],"Pareto-optimal":[26],"solutions":[27,139,162],"and":[28,56,81],"\"best":[30],"compromised\"":[31],"preferred":[32],"solution":[33],"decisionmaker.":[36],"First,":[37],"main":[39],"concepts":[40],"ofthe":[41],"utility":[42,88],"approach":[43,61,89],"briefly":[45],"reviewed":[46],"from":[47],"point":[49],"of":[50,52,59,99,127,150,159,166],"view":[51],"systems":[54,105],"analysis,":[55],"some":[57],"shortages":[58],"examined.":[63],"Second,":[64],"new":[66],"which":[68],"we":[69],"call":[70],"nested":[72],"Lagrangian":[73],"multiplier":[74],"(or":[76],"NLM":[77,101],"method)":[78],"introduced":[80],"compared":[82],"precedent":[84],"devices":[85],"The":[90],"theoretical":[91],"background":[92],"also":[94],"scrutinized.":[95],"Third,":[96],"use":[98],"environmental":[104],"management":[106],"in":[107],"greater":[109],"Osaka":[110],"area":[111],"demonstrated,":[113],"providing":[114],"example":[116],"ofdynamic":[117],"application":[118],"ofthis":[119],"method.":[120],"Finally,":[121],"it":[122],"recalled":[124],"that":[125],"utilization":[126,158],"mathematical":[129,151],"integrated":[133],"plannings":[134],"would":[135],"simultaneously":[136],"provide":[137],"optimal":[138,161],"allocation":[141],"as":[142,144,163],"well":[143],"evaluation":[145,167],"problems,":[146],"based":[147],"on":[148,156],"duality":[149],"programming.":[152],"Astress":[153],"placed":[155],"dual":[160],"base":[165],"factors.":[168]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}