{"id":"https://openalex.org/W2042333722","doi":"https://doi.org/10.1109/tcad.2012.2209117","title":"Timing ECO Optimization Via B\u00e9zier Curve Smoothing and Fixability Identification","display_name":"Timing ECO Optimization Via B\u00e9zier Curve Smoothing and Fixability Identification","publication_year":2012,"publication_date":"2012-11-21","ids":{"openalex":"https://openalex.org/W2042333722","doi":"https://doi.org/10.1109/tcad.2012.2209117","mag":"2042333722"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2012.2209117","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2209117","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"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 Computer-Aided Design of Integrated Circuits and Systems","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/A5074859640","display_name":"Hua-Yu Chang","orcid":"https://orcid.org/0000-0001-8324-0592"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Hua-Yu Chang","raw_affiliation_strings":["Graduate Institute of Electronics Engineering, National Taiwan University, Taipei, Taiwan","Grad. Inst. of Electron. Eng., Nat. Taiwan Univ., Taipei, Taiwan#TAB#"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Electronics Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Grad. Inst. of Electron. Eng., Nat. Taiwan Univ., Taipei, Taiwan#TAB#","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031004106","display_name":"Iris Hui-Ru Jiang","orcid":"https://orcid.org/0000-0002-4554-3442"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Iris Hui-Ru Jiang","raw_affiliation_strings":["Department of Electronics Engineering and the Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","Dept. of Electron. Eng. & the Inst. of Electron., Nat. Chiao Tung Univ., Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering and the Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Dept. of Electron. Eng. & the Inst. of Electron., Nat. Chiao Tung Univ., Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018371636","display_name":"Yao\u2010Wen Chang","orcid":"https://orcid.org/0000-0002-0564-5719"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yao-Wen Chang","raw_affiliation_strings":["Department of Electrical Engineering and the Graduate Institute of Electronics Engineering, National Taiwan University, Taipei, Taiwan","Dept. of Electr. Eng. & the Grad. Inst. of Electron. Eng., Nat. Taiwan Univ., Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and the Graduate Institute of Electronics Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & the Grad. Inst. of Electron. Eng., Nat. Taiwan Univ., Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074859640"],"corresponding_institution_ids":["https://openalex.org/I16733864"],"apc_list":null,"apc_paid":null,"fwci":0.982,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.78215822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"12","first_page":"1857","last_page":"1866"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9988999962806702,"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/T11338","display_name":"Advancements in Photolithography Techniques","score":0.9984999895095825,"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/smoothness","display_name":"Smoothness","score":0.820407509803772},{"id":"https://openalex.org/keywords/spare-part","display_name":"Spare part","score":0.6726436018943787},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6255730390548706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5997030735015869},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5845092535018921},{"id":"https://openalex.org/keywords/static-timing-analysis","display_name":"Static timing analysis","score":0.5627683997154236},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.55662602186203},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5018112659454346},{"id":"https://openalex.org/keywords/critical-path-method","display_name":"Critical path method","score":0.5013260841369629},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.45464760065078735},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4413550794124603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3943818211555481},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3537549376487732},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23130851984024048},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.17848441004753113},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14094191789627075},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09832745790481567}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.820407509803772},{"id":"https://openalex.org/C194648553","wikidata":"https://www.wikidata.org/wiki/Q1364774","display_name":"Spare part","level":2,"score":0.6726436018943787},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6255730390548706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5997030735015869},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5845092535018921},{"id":"https://openalex.org/C93682380","wikidata":"https://www.wikidata.org/wiki/Q2025226","display_name":"Static timing analysis","level":2,"score":0.5627683997154236},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.55662602186203},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5018112659454346},{"id":"https://openalex.org/C115874739","wikidata":"https://www.wikidata.org/wiki/Q825377","display_name":"Critical path method","level":2,"score":0.5013260841369629},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.45464760065078735},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4413550794124603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3943818211555481},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3537549376487732},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23130851984024048},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.17848441004753113},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14094191789627075},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09832745790481567},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcad.2012.2209117","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2209117","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"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 Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1491704275","https://openalex.org/W1991788119","https://openalex.org/W2001910569","https://openalex.org/W2057208034","https://openalex.org/W2067013987","https://openalex.org/W2116479833","https://openalex.org/W2123894200","https://openalex.org/W2134351587","https://openalex.org/W2154513354","https://openalex.org/W2160121838","https://openalex.org/W2164091771","https://openalex.org/W2178483900","https://openalex.org/W2222512263","https://openalex.org/W2911302472","https://openalex.org/W3140615012","https://openalex.org/W3143529332","https://openalex.org/W3149449729","https://openalex.org/W4252141111","https://openalex.org/W4255143173","https://openalex.org/W6683638471"],"related_works":["https://openalex.org/W2376859990","https://openalex.org/W2912704652","https://openalex.org/W2381161177","https://openalex.org/W2134817643","https://openalex.org/W2363386023","https://openalex.org/W4235807419","https://openalex.org/W2550704533","https://openalex.org/W2827496155","https://openalex.org/W2890026549","https://openalex.org/W2187775186"],"abstract_inverted_index":{"Due":[0],"to":[1,34,44,90,141,151,174],"the":[2,53,116,124,131,135,166,193],"rapidly":[3],"increasing":[4],"design":[5,41,50],"complexity":[6],"in":[7,49,101,139],"modern":[8],"integrated":[9],"circuit":[10],"design,":[11],"more":[12,14],"and":[13,97,165],"timing":[15,70,87,111,119,144,176,187],"failures":[16],"are":[17],"detected":[18],"at":[19,69],"late":[20],"stages.":[21],"Without":[22],"deferring":[23],"time-to-market,":[24],"metal-only":[25],"engineering":[26],"change":[27],"order":[28,140],"(ECO)":[29],"is":[30,60,88],"an":[31,171],"economical":[32],"technique":[33],"correct":[35],"these":[36],"late-found":[37],"failures.":[38],"Typically,":[39],"a":[40,83,107,127,148],"might":[42],"need":[43],"undergo":[45],"many":[46],"ECO":[47,59,71],"runs":[48],"houses;":[51],"consequently,":[52],"usage":[54],"of":[55,61,110,118,126],"spare":[56,76],"cells":[57,77],"for":[58],"significant":[62,190],"importance.":[63],"In":[64],"this":[65],"paper,":[66],"we":[67,105,129,146,169,182],"aim":[68],"by":[72,114],"using":[73],"as":[74,78,134],"few":[75],"possible.":[79],"We":[80],"observe":[81],"that":[82,181],"path":[84],"with":[85,189],"good":[86],"desired":[89],"be":[91],"geometrically":[92],"smooth.":[93],"Unlike":[94],"negative":[95],"slack":[96],"gate":[98],"delay":[99],"used":[100],"most":[102],"prior":[103],"work,":[104],"propose":[106],"new":[108],"metric":[109],"criticality,":[112],"fixability,":[113],"considering":[115],"smoothness":[117,125],"violating":[120,153],"paths.":[121],"To":[122],"measure":[123],"path,":[128],"use":[130],"B\u00e9zier":[132,160],"curve":[133,161],"golden":[136],"path.":[137],"Furthermore,":[138],"concurrently":[142],"fix":[143,175],"violations,":[145],"derive":[147],"propagation":[149,167],"property":[150],"divide":[152],"paths":[154],"into":[155],"independent":[156],"segments.":[157],"Based":[158],"on":[159],"smoothing,":[162],"fixability":[163],"identification,":[164],"property,":[168],"develop":[170],"efficient":[172],"algorithm":[173],"violations.":[177],"Experimental":[178],"results":[179],"show":[180],"can":[183],"effectively":[184],"resolve":[185],"all":[186],"violations":[188],"speedups":[191],"over":[192],"state-of-the-art":[194],"works.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
