{"id":"https://openalex.org/W2079884845","doi":"https://doi.org/10.1109/tsmc.1976.4309549","title":"Time-Varying Distributed Delays and Their Use in Aggregative Models of Large Systems","display_name":"Time-Varying Distributed Delays and Their Use in Aggregative Models of Large Systems","publication_year":1976,"publication_date":"1976-08-01","ids":{"openalex":"https://openalex.org/W2079884845","doi":"https://doi.org/10.1109/tsmc.1976.4309549","mag":"2079884845"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.1976.4309549","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.1976.4309549","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079047319","display_name":"Thomas J. Manetsch","orcid":null},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas J. Manetsch","raw_affiliation_strings":["Department of Electrical Engineering and Systems Science, Michigan State University, East Lansing, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Systems Science, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079047319"],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":null,"apc_paid":null,"fwci":8.0919,"has_fulltext":false,"cited_by_count":203,"citation_normalized_percentile":{"value":0.96904781,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"SMC-6","issue":"8","first_page":"547","last_page":"553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.972000002861023,"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/T12137","display_name":"Economic theories and models","score":0.972000002861023,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9398000240325928,"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/T11031","display_name":"Game Theory and Applications","score":0.9007999897003174,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.7399584054946899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6912657618522644},{"id":"https://openalex.org/keywords/fortran","display_name":"Fortran","score":0.6642212867736816},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.6134045720100403},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5343061685562134},{"id":"https://openalex.org/keywords/transit-time","display_name":"Transit time","score":0.5218176245689392},{"id":"https://openalex.org/keywords/transit-system","display_name":"Transit system","score":0.48184192180633545},{"id":"https://openalex.org/keywords/transit","display_name":"Transit (satellite)","score":0.4432694911956787},{"id":"https://openalex.org/keywords/retard","display_name":"Retard","score":0.42042669653892517},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13271507620811462},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08561408519744873},{"id":"https://openalex.org/keywords/transport-engineering","display_name":"Transport engineering","score":0.08169251680374146}],"concepts":[{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.7399584054946899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6912657618522644},{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.6642212867736816},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.6134045720100403},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5343061685562134},{"id":"https://openalex.org/C3018129524","wikidata":"https://www.wikidata.org/wiki/Q7834377","display_name":"Transit time","level":2,"score":0.5218176245689392},{"id":"https://openalex.org/C2991774327","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Transit system","level":4,"score":0.48184192180633545},{"id":"https://openalex.org/C2778022998","wikidata":"https://www.wikidata.org/wiki/Q651136","display_name":"Transit (satellite)","level":3,"score":0.4432694911956787},{"id":"https://openalex.org/C2777131613","wikidata":"https://www.wikidata.org/wiki/Q18394147","display_name":"Retard","level":2,"score":0.42042669653892517},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13271507620811462},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08561408519744873},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.08169251680374146},{"id":"https://openalex.org/C539828613","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Public transport","level":2,"score":0.0},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.1976.4309549","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.1976.4309549","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W612365048","https://openalex.org/W1985634306","https://openalex.org/W2019746941","https://openalex.org/W2048131738"],"related_works":["https://openalex.org/W136575323","https://openalex.org/W3150993086","https://openalex.org/W1516043520","https://openalex.org/W3150762485","https://openalex.org/W767506823","https://openalex.org/W3125463300","https://openalex.org/W2218209960","https://openalex.org/W246887380","https://openalex.org/W1508156279","https://openalex.org/W2551794434"],"abstract_inverted_index":{"The":[0],"distributed":[1,70,96],"delay":[2,71,97],"has":[3],"found":[4],"widespread":[5],"application":[6],"in":[7,50,58],"the":[8,14,35,60],"modeling":[9],"of":[10,16,28,47,85,93],"aggregative":[11,51,100],"processes":[12],"involving":[13],"flow":[15],"entities":[17],"with":[18,76],"random":[19],"transit":[20,38,63],"times":[21],"through":[22],"a":[23,45,77,86],"given":[24],"process.":[25],"In":[26],"most":[27],"these":[29],"applications":[30,49,92],"it":[31],"is":[32,40,65,73],"assumed":[33],"that":[34],"mean":[36,61],"entity":[37,62],"time":[39,64,66],"fixed.":[41],"There":[42],"are,":[43],"however,":[44],"number":[46],"important":[48],"economic,":[52],"physical,":[53],"social,":[54],"and":[55,102],"biological":[56,101],"systems":[57],"which":[59],"varying.":[67],"A":[68],"time-varying":[69,95],"model":[72,98],"developed":[74],"along":[75],"Fortran":[78],"subroutine":[79],"for":[80],"its":[81],"simulation":[82],"as":[83],"part":[84],"larger":[87],"system":[88],"model.":[89],"Examples":[90],"illustrate":[91],"this":[94],"to":[99],"economic":[103],"processes.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}