{"id":"https://openalex.org/W2026656355","doi":"https://doi.org/10.1109/tc.1979.1675434","title":"Time and Parallel Processor Bounds for Fortran-Like Loops","display_name":"Time and Parallel Processor Bounds for Fortran-Like Loops","publication_year":1979,"publication_date":"1979-09-01","ids":{"openalex":"https://openalex.org/W2026656355","doi":"https://doi.org/10.1109/tc.1979.1675434","mag":"2026656355"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1979.1675434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1979.1675434","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Computers","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/A5077851078","display_name":"Banerjee","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Banerjee","raw_affiliation_strings":["Department of Computer Science, University of Illinois","Department of Computer Science, University of Illinois, Urbana-Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046784134","display_name":"Shyh-Ching Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I2800736688","display_name":"Burroughs Wellcome Fund","ror":"https://ror.org/01d35cw23","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2800736688"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shyh-Ching Chen","raw_affiliation_strings":["Burroughs Corporation, Paoli, PA, USA","Cray Research, Inc., Chippewa Falls, WI, USA"],"affiliations":[{"raw_affiliation_string":"Burroughs Corporation, Paoli, PA, USA","institution_ids":["https://openalex.org/I2800736688"]},{"raw_affiliation_string":"Cray Research, Inc., Chippewa Falls, WI, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064662577","display_name":"Kuck","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kuck","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana-Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5097256330","display_name":"Towle","orcid":null},"institutions":[{"id":"https://openalex.org/I2800736688","display_name":"Burroughs Wellcome Fund","ror":"https://ror.org/01d35cw23","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2800736688"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Towle","raw_affiliation_strings":["Burroughs Corporation, Paoli, PA, USA"],"affiliations":[{"raw_affiliation_string":"Burroughs Corporation, Paoli, PA, USA","institution_ids":["https://openalex.org/I2800736688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077851078"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":8.7922,"has_fulltext":false,"cited_by_count":119,"citation_normalized_percentile":{"value":0.97610619,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"C-28","issue":"9","first_page":"660","last_page":"670"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fortran","display_name":"Fortran","score":0.805271565914154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7671622037887573},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.6537054777145386},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.6519092917442322},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6437729597091675},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6095379590988159},{"id":"https://openalex.org/keywords/loop-fusion","display_name":"Loop fusion","score":0.5256779789924622},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5199100375175476},{"id":"https://openalex.org/keywords/loop-fission","display_name":"Loop fission","score":0.5034369826316833},{"id":"https://openalex.org/keywords/for-loop","display_name":"For loop","score":0.4481665790081024},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4393171966075897},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3711368441581726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2047920823097229},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.15829625725746155},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11817789077758789},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.08618208765983582}],"concepts":[{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.805271565914154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7671622037887573},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.6537054777145386},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.6519092917442322},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6437729597091675},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6095379590988159},{"id":"https://openalex.org/C82653869","wikidata":"https://www.wikidata.org/wiki/Q6675821","display_name":"Loop fusion","level":3,"score":0.5256779789924622},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5199100375175476},{"id":"https://openalex.org/C134718785","wikidata":"https://www.wikidata.org/wiki/Q6675821","display_name":"Loop fission","level":3,"score":0.5034369826316833},{"id":"https://openalex.org/C2779624466","wikidata":"https://www.wikidata.org/wiki/Q838119","display_name":"For loop","level":3,"score":0.4481665790081024},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4393171966075897},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3711368441581726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2047920823097229},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15829625725746155},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11817789077758789},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.08618208765983582},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1979.1675434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1979.1675434","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Computers","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":24,"referenced_works":["https://openalex.org/W132259638","https://openalex.org/W564770222","https://openalex.org/W1530971713","https://openalex.org/W1533805257","https://openalex.org/W1537374583","https://openalex.org/W1964869680","https://openalex.org/W1987374018","https://openalex.org/W1991509743","https://openalex.org/W1995470194","https://openalex.org/W2003020124","https://openalex.org/W2005314217","https://openalex.org/W2024151750","https://openalex.org/W2036568508","https://openalex.org/W2040491331","https://openalex.org/W2060101006","https://openalex.org/W2092492242","https://openalex.org/W2095142977","https://openalex.org/W2114279700","https://openalex.org/W2114876342","https://openalex.org/W2130566259","https://openalex.org/W2164890169","https://openalex.org/W2798483379","https://openalex.org/W4253131219","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2114948246","https://openalex.org/W1596526459","https://openalex.org/W1841795997","https://openalex.org/W2016388920","https://openalex.org/W2068516599","https://openalex.org/W1988070942","https://openalex.org/W4256122319","https://openalex.org/W2001294731","https://openalex.org/W154155438","https://openalex.org/W2058764256"],"abstract_inverted_index":{"The":[0,48],"main":[1],"goal":[2],"of":[3,13,26,51,57,65,98,106],"this":[4],"paper":[5],"is":[6,32,44,71],"to":[7,19,83,114],"show":[8,75],"that":[9],"a":[10,42,63,77,91,99,104],"large":[11],"number":[12,105],"processors":[14],"can":[15,37,79,111],"be":[16,56,81,112],"used":[17,113],"effectively":[18],"speed":[20],"up":[21,97],"simple":[22],"Fortran-like":[23],"loops":[24,123],"consisting":[25],"assignment":[27],"statements.":[28],"A":[29],"practical":[30],"method":[31],"given":[33,100],"by":[34,126],"which":[35],"one":[36],"check":[38],"whether":[39],"or":[40],"not":[41],"statement":[43],"dependent":[45],"upon":[46],"another.":[47],"dependence":[49,86],"structure":[50],"the":[52,94,119,122],"whole":[53],"loop":[54,78],"may":[55],"different":[58],"types.":[59],"For":[60],"each":[61],"type,":[62],"set":[64],"time":[66],"and":[67,116],"processor":[68],"upper":[69],"bounds":[70,120],"given.":[72],"We":[73],"also":[74],"how":[76],"sometimes":[80,117],"transformed":[82],"change":[84],"its":[85],"structure.":[87],"Finally,":[88],"we":[89],"give":[90],"result":[92],"on":[93],"possible":[95],"splitting":[96],"recurrence":[101],"system":[102],"into":[103],"smaller":[107],"subsystems.":[108],"These":[109],"results":[110],"modify":[115],"improve":[118],"for":[121],"as":[124],"demanded":[125],"special":[127],"circumstances.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
