{"id":"https://openalex.org/W2471158900","doi":"https://doi.org/10.1093/imamci/dnv016","title":"A resource configuration method for liveness of a class of Petri nets","display_name":"A resource configuration method for liveness of a class of Petri nets","publication_year":2015,"publication_date":"2015-05-10","ids":{"openalex":"https://openalex.org/W2471158900","doi":"https://doi.org/10.1093/imamci/dnv016","mag":"2471158900"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnv016","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv016","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5101623651","display_name":"Miao Liu","orcid":"https://orcid.org/0000-0003-1110-5839"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Miao Liu","raw_affiliation_strings":["School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033428699","display_name":"Shouguang Wang","orcid":"https://orcid.org/0000-0002-8998-0433"},"institutions":[{"id":"https://openalex.org/I75059550","display_name":"Zhejiang Gongshang University","ror":"https://ror.org/0569mkk41","country_code":"CN","type":"education","lineage":["https://openalex.org/I75059550"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"ShouGuang Wang","raw_affiliation_strings":["School of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I75059550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068730007","display_name":"Tasawar Hayat","orcid":"https://orcid.org/0000-0001-5952-4106"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["PK","SA"],"is_corresponding":false,"raw_author_name":"Tasawar Hayat","raw_affiliation_strings":["Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan and NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan and NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I12469534","https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080879224","display_name":"Ahmed A. Al-Saedi","orcid":"https://orcid.org/0000-0001-6061-0861"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ahmed Alsaedi","raw_affiliation_strings":["NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045305170","display_name":"Zhiwu Li","orcid":"https://orcid.org/0000-0003-1547-5503"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]},{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["CN","MO","SA"],"is_corresponding":false,"raw_author_name":"ZhiWu Li","raw_affiliation_strings":["Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia, and School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia, and School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an 710071, China","institution_ids":["https://openalex.org/I111950717","https://openalex.org/I149594827","https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5033428699"],"corresponding_institution_ids":["https://openalex.org/I75059550"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.18636451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"33","issue":"4","first_page":"933","last_page":"950"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998999834060669,"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":0.9998999834060669,"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/T11741","display_name":"Flexible and Reconfigurable Manufacturing Systems","score":0.9972000122070312,"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9905999898910522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/liveness","display_name":"Liveness","score":0.9597904682159424},{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.9474836587905884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7169503569602966},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.5986036658287048},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5960120558738708},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5577314496040344},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5164985060691833},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.5041576623916626},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48784756660461426},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.4476378560066223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41291964054107666},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34827685356140137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32664260268211365},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.3223690986633301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17334574460983276},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14749833941459656},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1454310119152069},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12684813141822815}],"concepts":[{"id":"https://openalex.org/C15569618","wikidata":"https://www.wikidata.org/wiki/Q3561421","display_name":"Liveness","level":2,"score":0.9597904682159424},{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.9474836587905884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7169503569602966},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.5986036658287048},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5960120558738708},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5577314496040344},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5164985060691833},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.5041576623916626},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48784756660461426},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.4476378560066223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41291964054107666},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34827685356140137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32664260268211365},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.3223690986633301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17334574460983276},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14749833941459656},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1454310119152069},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12684813141822815},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnv016","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv016","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:open-archive.highwire.org:imamci:33/4/933","is_oa":false,"landing_page_url":"http://imamci.oxfordjournals.org/cgi/content/short/33/4/933","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W83424896","https://openalex.org/W614929447","https://openalex.org/W634312912","https://openalex.org/W645743621","https://openalex.org/W1490850339","https://openalex.org/W1497261478","https://openalex.org/W1546456762","https://openalex.org/W1595155342","https://openalex.org/W1915570783","https://openalex.org/W1975901756","https://openalex.org/W1986055061","https://openalex.org/W2004675751","https://openalex.org/W2005217875","https://openalex.org/W2017196860","https://openalex.org/W2018422812","https://openalex.org/W2022250047","https://openalex.org/W2026590159","https://openalex.org/W2035556324","https://openalex.org/W2037933704","https://openalex.org/W2041853864","https://openalex.org/W2048456685","https://openalex.org/W2049252484","https://openalex.org/W2059933478","https://openalex.org/W2065366801","https://openalex.org/W2076665553","https://openalex.org/W2076749410","https://openalex.org/W2085101251","https://openalex.org/W2085119635","https://openalex.org/W2089545832","https://openalex.org/W2098899007","https://openalex.org/W2099550549","https://openalex.org/W2105435021","https://openalex.org/W2108678912","https://openalex.org/W2109586413","https://openalex.org/W2110169180","https://openalex.org/W2113418311","https://openalex.org/W2116894546","https://openalex.org/W2118382442","https://openalex.org/W2122471000","https://openalex.org/W2126416347","https://openalex.org/W2129686603","https://openalex.org/W2132355828","https://openalex.org/W2134479195","https://openalex.org/W2135886503","https://openalex.org/W2140640958","https://openalex.org/W2140872435","https://openalex.org/W2146220225","https://openalex.org/W2146738006","https://openalex.org/W2157572995","https://openalex.org/W2158594158","https://openalex.org/W2158941847","https://openalex.org/W2160376434","https://openalex.org/W2162140605","https://openalex.org/W2163338158","https://openalex.org/W2163839607","https://openalex.org/W2165321755","https://openalex.org/W2165594843","https://openalex.org/W2310250136","https://openalex.org/W2495146466","https://openalex.org/W4246075700","https://openalex.org/W4285719527","https://openalex.org/W6629684691","https://openalex.org/W6632784902","https://openalex.org/W6635802923"],"related_works":["https://openalex.org/W2124283471","https://openalex.org/W2004753716","https://openalex.org/W2330065971","https://openalex.org/W2066603162","https://openalex.org/W2107690674","https://openalex.org/W2120541137","https://openalex.org/W2382668819","https://openalex.org/W1485251690","https://openalex.org/W2031305780","https://openalex.org/W1504928013"],"abstract_inverted_index":{"Petri":[0,26],"nets":[1],"are":[2,104],"widely":[3],"used":[4,68,105],"to":[5,69,99,106],"model":[6,30],"flexible":[7],"manufacturing":[8],"systems":[9],"(FMSs).":[10],"A":[11],"linear":[12],"system":[13],"of":[14,25,42,53,87,94,110],"simple":[15],"sequential":[16],"processes":[17],"with":[18],"resources":[19],"(LS|$^3$|PR),":[20],"as":[21],"an":[22,43,61,66,78],"important":[23],"subclass":[24],"nets,":[27],"can":[28],"well":[29],"many":[31],"FMSs.":[32],"In":[33],"this":[34],"paper,":[35],"a":[36],"resource":[37,54,75,88],"configuration":[38],"method":[39],"for":[40,73],"liveness":[41],"LS|$^3$|PR":[44,62,79],"is":[45,63,80,97],"proposed.":[46],"First,":[47],"the":[48,51,71,84,91,95,108,111],"relationship":[49],"between":[50],"markings":[52],"places":[55,59],"and":[56],"process":[57],"idle":[58],"in":[60,77],"analysed.":[64],"Next,":[65],"algorithm":[67,96],"compute":[70],"marking":[72],"each":[74],"place":[76],"developed":[81],"by":[82],"taking":[83],"full":[85],"advantages":[86],"subnets.":[89],"Finally,":[90],"computational":[92],"complexity":[93],"proved":[98],"be":[100],"polynomial.":[101],"Two":[102],"examples":[103],"illustrate":[107],"application":[109],"proposed":[112],"method.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}