{"id":"https://openalex.org/W2106777832","doi":"https://doi.org/10.1109/9.983355","title":"Hierarchically accelerated dynamic programming for finite-state machines","display_name":"Hierarchically accelerated dynamic programming for finite-state machines","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2106777832","doi":"https://doi.org/10.1109/9.983355","mag":"2106777832"},"language":"en","primary_location":{"id":"doi:10.1109/9.983355","is_oa":false,"landing_page_url":"https://doi.org/10.1109/9.983355","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5101633904","display_name":"Gang Shen","orcid":"https://orcid.org/0000-0003-2803-4133"},"institutions":[{"id":"https://openalex.org/I1333370159","display_name":"Motorola (United States)","ror":"https://ror.org/01hafxd32","country_code":"US","type":"company","lineage":["https://openalex.org/I1333370159"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gang Shen","raw_affiliation_strings":["Motorola, Inc., Schaumburg, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Motorola, Inc., Schaumburg, IL, USA","institution_ids":["https://openalex.org/I1333370159"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044187847","display_name":"Peter E. Caines","orcid":"https://orcid.org/0000-0002-5248-9456"},"institutions":[{"id":"https://openalex.org/I109736498","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95","country_code":"CA","type":"facility","lineage":["https://openalex.org/I109736498"]},{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P.E. Caines","raw_affiliation_strings":["Canadian Institute for Advanced Research, Canada","Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Canadian Institute for Advanced Research, Canada","institution_ids":["https://openalex.org/I109736498"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1144,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.92258218,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"2","first_page":"271","last_page":"283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9966999888420105,"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/T10142","display_name":"Formal Methods in Verification","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6414440870285034},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6378145217895508},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6095454692840576},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.5420011878013611},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5297176837921143},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5046802759170532},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.48239219188690186},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.44892239570617676},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4317758083343506},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43085044622421265},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3903868794441223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3511205017566681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28160449862480164}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6414440870285034},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6378145217895508},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6095454692840576},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.5420011878013611},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5297176837921143},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5046802759170532},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.48239219188690186},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.44892239570617676},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4317758083343506},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43085044622421265},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3903868794441223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3511205017566681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28160449862480164},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/9.983355","is_oa":false,"landing_page_url":"https://doi.org/10.1109/9.983355","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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":11,"referenced_works":["https://openalex.org/W1581140154","https://openalex.org/W1973353540","https://openalex.org/W2014305171","https://openalex.org/W2078667951","https://openalex.org/W2095876516","https://openalex.org/W2096297533","https://openalex.org/W2098589862","https://openalex.org/W2132783271","https://openalex.org/W2150305702","https://openalex.org/W2153026088","https://openalex.org/W2181095490"],"related_works":["https://openalex.org/W3103325625","https://openalex.org/W2045155990","https://openalex.org/W4313163053","https://openalex.org/W1486898455","https://openalex.org/W3045811229","https://openalex.org/W4300973204","https://openalex.org/W1483408780","https://openalex.org/W4284884309","https://openalex.org/W2908749798","https://openalex.org/W2105980483"],"abstract_inverted_index":{"A":[0,87,111],"procedure":[1,67],"called":[2,91],"hierarchically":[3],"accelerated":[4],"dynamic":[5,22],"programming":[6,23],"(HADP)":[7],"is":[8,36,97,116],"presented":[9],"which,":[10],"at":[11],"the":[12,39,65,80,85,92,119,124,129,132],"cost":[13],"of":[14,17,44,82,84,89,103,113,123,131,134],"a":[15,45,55],"degree":[16,81],"suboptimality,":[18],"can":[19],"significantly":[20],"accelerate":[21],"algorithms":[24],"for":[25,64],"discrete":[26],"event":[27],"systems":[28],"modeled":[29],"by":[30,48],"finite-state":[31],"machines":[32],"(FSMs).":[33],"The":[34],"methodology":[35],"based.":[37],"upon":[38],"(possibly":[40],"iterated)":[41],"dynamical":[42],"abstraction":[43],"given":[46,74],"FSM":[47],"state":[49],"aggregation":[50],"in":[51],"order":[52],"to":[53,68,99],"generate":[54,69],"so-called":[56],"partition":[57,125],"machine":[58,126],"hierarchy.":[59],"Necessary":[60],"and":[61,107,121,128],"sufficient":[62],"conditions":[63],"HADP":[66,104,135],"globally":[70],"optimal":[71],"solutions":[72],"are":[73],"as":[75,77],"well":[76],"bounds":[78],"on":[79],"suboptimality":[83],"method.":[86],"group":[88],"examples":[90],"Broken":[93],"Manhattan":[94],"Grid":[95],"problems":[96,115],"used":[98],"illustrate":[100],"an":[101],"implementation":[102],"with":[105],"two":[106],"three":[108],"level":[109],"hierarchies.":[110],"set":[112],"open":[114],"described":[117],"concerning":[118],"construction":[120],"selection":[122],"abstractions":[127],"improvement":[130],"estimation":[133],"suboptimality.":[136]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
