{"id":"https://openalex.org/W3197552274","doi":"https://doi.org/10.1109/tac.2020.3024480","title":"Maximal Linear Deadlock Avoidance Policies for Sequential Resource Allocation Systems: Characterization, Computation, and Approximation","display_name":"Maximal Linear Deadlock Avoidance Policies for Sequential Resource Allocation Systems: Characterization, Computation, and Approximation","publication_year":2020,"publication_date":"2020-09-17","ids":{"openalex":"https://openalex.org/W3197552274","doi":"https://doi.org/10.1109/tac.2020.3024480","mag":"3197552274"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.3024480","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3024480","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/A5009611474","display_name":"Michael Ibrahim","orcid":"https://orcid.org/0000-0003-2340-8917"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Michael Ibrahim","raw_affiliation_strings":["Department of Computer Engineering, Cairo University, Giza, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-2340-8917","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008675858","display_name":"Spyros Reveliotis","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Spyros Reveliotis","raw_affiliation_strings":["School of Industrial, and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6176-0925","affiliations":[{"raw_affiliation_string":"School of Industrial, and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049151543","display_name":"Ahmed Nazeem","orcid":"https://orcid.org/0000-0002-6769-2836"},"institutions":[{"id":"https://openalex.org/I4210099336","display_name":"Menlo School","ror":"https://ror.org/01240pn49","country_code":"US","type":"education","lineage":["https://openalex.org/I4210099336"]},{"id":"https://openalex.org/I4210114444","display_name":"Meta (United States)","ror":"https://ror.org/01zbnvs85","country_code":"US","type":"company","lineage":["https://openalex.org/I4210114444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmed Nazeem","raw_affiliation_strings":["Facebook, Menlo Park, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-6769-2836","affiliations":[{"raw_affiliation_string":"Facebook, Menlo Park, CA, USA","institution_ids":["https://openalex.org/I4210114444","https://openalex.org/I4210099336"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2914,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66087014,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"66","issue":"9","first_page":"3906","last_page":"3921"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9991999864578247,"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":0.9991999864578247,"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9908999800682068,"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/T10142","display_name":"Formal Methods in Verification","score":0.9861999750137329,"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/linear-subspace","display_name":"Linear subspace","score":0.6320725679397583},{"id":"https://openalex.org/keywords/permissive","display_name":"Permissive","score":0.5522128939628601},{"id":"https://openalex.org/keywords/deadlock","display_name":"Deadlock","score":0.5487105846405029},{"id":"https://openalex.org/keywords/deadlock-prevention-algorithms","display_name":"Deadlock prevention algorithms","score":0.5187378525733948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5056581497192383},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.49312469363212585},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42165252566337585},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3784225285053253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3782500624656677},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.21127790212631226},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0755673348903656}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6320725679397583},{"id":"https://openalex.org/C15224491","wikidata":"https://www.wikidata.org/wiki/Q7169338","display_name":"Permissive","level":2,"score":0.5522128939628601},{"id":"https://openalex.org/C159023740","wikidata":"https://www.wikidata.org/wiki/Q623276","display_name":"Deadlock","level":2,"score":0.5487105846405029},{"id":"https://openalex.org/C113429609","wikidata":"https://www.wikidata.org/wiki/Q4060699","display_name":"Deadlock prevention algorithms","level":3,"score":0.5187378525733948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5056581497192383},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.49312469363212585},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42165252566337585},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3784225285053253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3782500624656677},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.21127790212631226},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0755673348903656},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2020.3024480","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3024480","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":[{"id":"https://openalex.org/G1836311288","display_name":null,"funder_award_id":"ECCS-1707695","funder_id":"https://openalex.org/F4320309085","funder_display_name":"Center for Selective C-H Functionalization, National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320309085","display_name":"Center for Selective C-H Functionalization, National Science Foundation","ror":"https://ror.org/02h8v7m77"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W565357261","https://openalex.org/W1587663028","https://openalex.org/W1636104188","https://openalex.org/W1962985716","https://openalex.org/W1963940109","https://openalex.org/W1974412011","https://openalex.org/W1976634747","https://openalex.org/W1996109622","https://openalex.org/W2001822592","https://openalex.org/W2005217875","https://openalex.org/W2021737336","https://openalex.org/W2053913299","https://openalex.org/W2087924522","https://openalex.org/W2091571939","https://openalex.org/W2099550549","https://openalex.org/W2104760299","https://openalex.org/W2109692480","https://openalex.org/W2109787297","https://openalex.org/W2111126894","https://openalex.org/W2117044477","https://openalex.org/W2119361484","https://openalex.org/W2124901174","https://openalex.org/W2134666018","https://openalex.org/W2136480271","https://openalex.org/W2140872435","https://openalex.org/W2146738006","https://openalex.org/W2156553949","https://openalex.org/W2509841691","https://openalex.org/W2605051396","https://openalex.org/W2885262767","https://openalex.org/W2889238960","https://openalex.org/W2911771220","https://openalex.org/W2914899772","https://openalex.org/W4211015501","https://openalex.org/W4214611073","https://openalex.org/W4236164983","https://openalex.org/W4250502972","https://openalex.org/W6636847768"],"related_works":["https://openalex.org/W1876958756","https://openalex.org/W4252845830","https://openalex.org/W4249758018","https://openalex.org/W2131815807","https://openalex.org/W2314328290","https://openalex.org/W2176914659","https://openalex.org/W1505786368","https://openalex.org/W2027716054","https://openalex.org/W3197552274","https://openalex.org/W1989635767"],"abstract_inverted_index":{"The":[0,22,179],"problem":[1,16],"of":[2,46,60,71,78,93,109,119,153,162,171,200],"maximally":[3,29,62,121,147],"permissive":[4,30,63,122,148],"deadlock":[5,31],"avoidance":[6,32],"for":[7,124,134,138,193,204],"sequential":[8],"resource":[9],"allocation":[10],"systems":[11],"(RAS)":[12],"is":[13,25,68,86,98,165],"a":[14,41,106,132,158,176],"well-defined":[15],"in":[17,149],"the":[18,28,44,47,58,61,69,79,87,91,120,150,168,172,190,194,197],"current":[19],"controls":[20],"literature.":[21],"corresponding":[23],"supervisor":[24],"known":[26],"as":[27,40],"policy":[33],"(DAP),":[34],"and":[35,54,74,188],"it":[36],"can":[37],"be":[38,146],"perceived":[39],"classifier":[42],"effecting":[43],"dichotomy":[45],"underlying":[48],"state":[49,97],"space":[50,170],"into":[51],"its":[52,102],"\u201csafe\u201d":[53],"\u201cunsafe\u201d":[55],"subspaces.":[56],"In":[57],"deployment":[59],"DAP,":[64],"an":[65,72],"important":[66],"issue":[67],"selection":[70],"effective":[73,117],"computationally":[75],"efficient":[76],"representation":[77,85,118],"aforementioned":[80],"dichotomy.":[81],"A":[82],"popular":[83],"such":[84],"\u201clinear":[88],"classifier,\u201d":[89],"where":[90],"admissibility":[92],"any":[94,139,205],"given":[95,107,140,206],"RAS":[96,126,141,207],"resolved":[99],"based":[100],"on":[101],"ability":[103],"to":[104],"satisfy":[105],"set":[108],"linear":[110,113,136,177,202],"inequalities.":[111],"However,":[112],"classifiers":[114],"cannot":[115],"provide":[116,189],"DAP":[123,186],"all":[125],"instantiations.":[127],"Hence,":[128],"this":[129,154,184],"article":[130],"provides":[131],"methodology":[133],"synthesizing":[135],"DAPs":[137,173,203],"instance":[142],"that":[143,164,174],"might":[144],"not":[145],"original":[151],"sense":[152],"term,":[155],"but":[156],"observe":[157],"more":[159],"relaxed":[160],"notion":[161],"\u201cmaximality\u201d":[163],"defined":[166],"within":[167],"particular":[169],"admit":[175],"representation.":[178],"presented":[180],"developments":[181],"formally":[182],"define":[183],"new":[185],"class,":[187],"necessary":[191],"algorithms":[192],"synthesis":[195],"or":[196],"systematic":[198],"approximation":[199],"maximal":[201],"instance.":[208]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
