{"id":"https://openalex.org/W2097683038","doi":"https://doi.org/10.1145/1057661.1057780","title":"A study of tighter lower bounds in LP relaxation based placement","display_name":"A study of tighter lower bounds in LP relaxation based placement","publication_year":2005,"publication_date":"2005-04-17","ids":{"openalex":"https://openalex.org/W2097683038","doi":"https://doi.org/10.1145/1057661.1057780","mag":"2097683038"},"language":"en","primary_location":{"id":"doi:10.1145/1057661.1057780","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1057661.1057780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 15th ACM Great Lakes symposium on VLSI","raw_type":"proceedings-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/A5009709781","display_name":"Qingzhou Wang","orcid":"https://orcid.org/0000-0002-3760-142X"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Qingzhou (Ben) Wang","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082212703","display_name":"Devang Jariwala","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Devang Jariwala","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056188563","display_name":"John Lillis","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Lillis","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009709781"],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":1.4228,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82793215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"498","last_page":"502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":1.0,"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":1.0,"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":0.9995999932289124,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7522634267807007},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6724816560745239},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.6580544710159302},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6426274180412292},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6101844310760498},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5515989661216736},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5185688138008118},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48777204751968384},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.48354101181030273},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4662572145462036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4015576243400574},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39386600255966187},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07599475979804993}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7522634267807007},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6724816560745239},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.6580544710159302},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6426274180412292},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6101844310760498},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5515989661216736},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5185688138008118},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48777204751968384},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.48354101181030273},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4662572145462036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4015576243400574},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39386600255966187},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07599475979804993},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1057661.1057780","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1057661.1057780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 15th ACM Great Lakes symposium on VLSI","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1538573330","https://openalex.org/W1984954427","https://openalex.org/W2048796234","https://openalex.org/W2094806828","https://openalex.org/W2139071021","https://openalex.org/W2146119990","https://openalex.org/W2163632212","https://openalex.org/W2168048050","https://openalex.org/W6684740691"],"related_works":["https://openalex.org/W2185409389","https://openalex.org/W2107689258","https://openalex.org/W4205854323","https://openalex.org/W2115855742","https://openalex.org/W2059496069","https://openalex.org/W3149578574","https://openalex.org/W4387578030","https://openalex.org/W2378280103","https://openalex.org/W2903317563","https://openalex.org/W4206993075"],"abstract_inverted_index":{"Placement":[0],"strategies":[1],"for":[2,175],"cell-based":[3],"designs":[4],"which":[5,163],"use":[6],"a":[7,45,76,145,161],"linear":[8],"programming":[9],"(LP)":[10],"relaxation":[11],"are":[12,173],"widely":[13],"believed":[14],"to":[15,103,137],"have":[16,159],"certain":[17],"weaknesses.":[18],"Among":[19],"these":[20],"is":[21,63,75,85],"the":[22,25,30,39,52,55,66,73,81,99,116,122,151,165],"phenomenon":[23,62],"that":[24,127],"relaxed":[26,40,56],"placement":[27,95],"produced":[28,92],"by":[29,72,93],"LP-solver":[31],"often":[32],"has":[33,130],"excessive":[34],"cell":[35,148],"overlap;":[36],"this":[37,61,107,128,156],"makes":[38],"solution":[41],"quite":[42,86],"distant":[43,87],"from":[44,88],"legal":[46],"one":[47],"and":[48,177],"raises":[49],"questions":[50],"about":[51],"value":[53,69],"of":[54,60,115],"solution.":[57],"An":[58],"implication":[59],"that,":[64],"while":[65],"objective":[67],"function":[68],"(HPWL)":[70],"yielded":[71],"LP":[74],"valid":[77],"lower":[78,100,123,139],"bound":[79],"on":[80,155],"achievable":[82],"wire-length,":[83],"it":[84,141],"known":[89],"upper":[90],"bounds":[91,101],"quality":[94],"tools":[96],"-":[97],"i.e.,":[98],"appear":[102],"be":[104],"loose.":[105],"In":[106],"paper":[108],"we":[109,158],"experiment":[110],"with":[111],"some":[112],"straightforward":[113],"generalizations":[114],"basic":[117],"LP-formulation":[118],"aimed":[119],"at":[120],"tightening":[121,138],"bound.":[124],"We":[125],"show":[126],"approach":[129],"an":[131],"interesting":[132],"dual":[133],"effect:":[134],"in":[135,144],"addition":[136],"bounds,":[140],"also":[142],"results":[143,172],"quantifiably":[146],"better":[147],"distribution":[149],"than":[150],"simpler":[152],"LP-formulation.":[153],"Based":[154,167],"idea,":[157],"developed":[160],"placer":[162],"employs":[164],"Relaxation":[166],"Local":[168],"Search":[169],"framework.":[170],"Experimental":[171],"reported":[174],"PEKO":[176],"MCNC":[178],"FPGA":[179],"benchmarks.":[180]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}