{"id":"https://openalex.org/W2128312967","doi":"https://doi.org/10.1109/cdc.2007.4434699","title":"Monotonically improving error bounds for a sequence of approximations for makespan minimization of batch manufacturing systems","display_name":"Monotonically improving error bounds for a sequence of approximations for makespan minimization of batch manufacturing systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2128312967","doi":"https://doi.org/10.1109/cdc.2007.4434699","mag":"2128312967"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434699","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5080102912","display_name":"W. Weyerman","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"W. Weyerman","raw_affiliation_strings":["Information and Decision Algorithms Laboratories, Department of Computer Science, Brigham Young University, Provo, USA","Brigham Young University, Provo;"],"affiliations":[{"raw_affiliation_string":"Information and Decision Algorithms Laboratories, Department of Computer Science, Brigham Young University, Provo, USA","institution_ids":["https://openalex.org/I100005738"]},{"raw_affiliation_string":"Brigham Young University, Provo;","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010055271","display_name":"Sean Warnick","orcid":"https://orcid.org/0000-0001-5485-1909"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Warnick","raw_affiliation_strings":["Information and Decision Algorithms Laboratories, Department of Computer Science, Brigham Young University, Provo, USA","Brigham Young University, Provo;"],"affiliations":[{"raw_affiliation_string":"Information and Decision Algorithms Laboratories, Department of Computer Science, Brigham Young University, Provo, USA","institution_ids":["https://openalex.org/I100005738"]},{"raw_affiliation_string":"Brigham Young University, Provo;","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080102912"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":null,"apc_paid":null,"fwci":0.8373,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79481283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"5288","last_page":"5293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11159","display_name":"Manufacturing Process and Optimization","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/job-shop-scheduling","display_name":"Job shop scheduling","score":0.792618989944458},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7420566082000732},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.691963255405426},{"id":"https://openalex.org/keywords/workstation","display_name":"Workstation","score":0.642781138420105},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6016714572906494},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5936345458030701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5704402327537537},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4839973449707031},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.48293325304985046},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.48059484362602234},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4184764325618744},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.41108593344688416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24215471744537354},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.0812322199344635}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.792618989944458},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7420566082000732},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.691963255405426},{"id":"https://openalex.org/C67953723","wikidata":"https://www.wikidata.org/wiki/Q192525","display_name":"Workstation","level":2,"score":0.642781138420105},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6016714572906494},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5936345458030701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5704402327537537},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4839973449707031},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.48293325304985046},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.48059484362602234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4184764325618744},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.41108593344688416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24215471744537354},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.0812322199344635},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434699","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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":15,"referenced_works":["https://openalex.org/W599099493","https://openalex.org/W1547042791","https://openalex.org/W1974041901","https://openalex.org/W1997445858","https://openalex.org/W2012685678","https://openalex.org/W2015954935","https://openalex.org/W2047403924","https://openalex.org/W2070558838","https://openalex.org/W2081895221","https://openalex.org/W2105821629","https://openalex.org/W2114338779","https://openalex.org/W2139982839","https://openalex.org/W2161856685","https://openalex.org/W2172026683","https://openalex.org/W6618232706"],"related_works":["https://openalex.org/W2970302286","https://openalex.org/W2810352541","https://openalex.org/W2142195909","https://openalex.org/W2110817230","https://openalex.org/W3091355678","https://openalex.org/W1606488336","https://openalex.org/W1988569331","https://openalex.org/W4255193494","https://openalex.org/W189995875","https://openalex.org/W2284958355"],"abstract_inverted_index":{"We":[0,32],"consider":[1],"a":[2,12,34,54,82],"batch":[3],"manufacturing":[4],"system":[5,39],"model":[6],"with":[7,40],"no":[8],"intermediate":[9],"storage":[10],"and":[11,30,43],"single":[13],"machine":[14],"at":[15],"each":[16],"workstation.":[17],"These":[18],"models":[19],"have":[20],"applications":[21],"in":[22,65,84,92],"fields":[23],"such":[24],"as":[25,86],"chemical":[26],"processing,":[27],"computer":[28],"systems,":[29],"manufacturing.":[31],"develop":[33],"max-plus":[35,67],"representation":[36],"for":[37,78],"this":[38,48,70],"linear":[41],"dynamics":[42],"show":[44],"relevant":[45],"properties":[46],"of":[47,56],"system.":[49],"In":[50],"particular,":[51],"we":[52,72],"express":[53],"sequence":[55],"increasingly":[57],"complex":[58],"approximations":[59],"to":[60],"the":[61,66,93],"minimum":[62],"makespan":[63],"problem":[64],"algebra.":[68],"Using":[69],"formulation,":[71],"compute":[73],"monotonically":[74],"improving":[75],"error":[76,85],"bounds":[77],"these":[79],"approximations,":[80],"guaranteeing":[81],"decrease":[83],"more":[87],"computational":[88],"effort":[89],"is":[90],"used":[91],"approximation.":[94]},"counts_by_year":[{"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"}
