{"id":"https://openalex.org/W4206513752","doi":"https://doi.org/10.1080/17445760.2021.1952580","title":"Spatial specification of hypertorus interconnect by infinite and reenterable coloured Petri nets","display_name":"Spatial specification of hypertorus interconnect by infinite and reenterable coloured Petri nets","publication_year":2021,"publication_date":"2021-07-20","ids":{"openalex":"https://openalex.org/W4206513752","doi":"https://doi.org/10.1080/17445760.2021.1952580"},"language":"en","primary_location":{"id":"doi:10.1080/17445760.2021.1952580","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17445760.2021.1952580","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1744-5760","issn":["1744-5760","1744-5779"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Parallel, Emergent and Distributed Systems","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/A5033228887","display_name":"Dmitry A. Zaitsev","orcid":"https://orcid.org/0000-0001-5698-7324"},"institutions":[{"id":"https://openalex.org/I4210160951","display_name":"Odessa State Environmental University","ror":"https://ror.org/04s92tb21","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210160951"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Dmitry A. Zaitsev","raw_affiliation_strings":["The Department of Information Technology, Odessa State Environmental University, Odessa, Ukraine"],"raw_orcid":"https://orcid.org/0000-0001-5698-7324","affiliations":[{"raw_affiliation_string":"The Department of Information Technology, Odessa State Environmental University, Odessa, Ukraine","institution_ids":["https://openalex.org/I4210160951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053265608","display_name":"Tatiana R. Shmeleva","orcid":"https://orcid.org/0000-0002-4799-3842"},"institutions":[{"id":"https://openalex.org/I4210145845","display_name":"State University of Intelligent Technologies and Telecommunications","ror":"https://ror.org/03fx0zp19","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210145845"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Tatiana R. Shmeleva","raw_affiliation_strings":["The Computer Science Department, A.S. Popov Odessa National Academy of Telecommunications, Odessa, Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-4799-3842","affiliations":[{"raw_affiliation_string":"The Computer Science Department, A.S. Popov Odessa National Academy of Telecommunications, Odessa, Ukraine","institution_ids":["https://openalex.org/I4210145845"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072239317","display_name":"Birgit Pr\u00f6ll","orcid":"https://orcid.org/0009-0004-6519-2127"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Birgit Pr\u00f6ll","raw_affiliation_strings":["The Institute for Application-Oriented Knowledge Processing, Johannes Kepler University Linz Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute for Application-Oriented Knowledge Processing, Johannes Kepler University Linz Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033228887"],"corresponding_institution_ids":["https://openalex.org/I4210160951"],"apc_list":null,"apc_paid":null,"fwci":0.9085,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79297501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"37","issue":"1","first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9973999857902527,"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":0.9973999857902527,"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/T10142","display_name":"Formal Methods in Verification","score":0.9746999740600586,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9526000022888184,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/petri-net","display_name":"Petri net","score":0.9485072493553162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7177782654762268},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.6957191228866577},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.6009341478347778},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.59688800573349},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.5755090117454529},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5405799746513367},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.5299269556999207},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5165883302688599},{"id":"https://openalex.org/keywords/concurrency","display_name":"Concurrency","score":0.46139761805534363},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4299178123474121},{"id":"https://openalex.org/keywords/net","display_name":"Net (polyhedron)","score":0.41694456338882446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.221364825963974},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07157739996910095}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.9485072493553162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7177782654762268},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.6957191228866577},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.6009341478347778},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.59688800573349},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.5755090117454529},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5405799746513367},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.5299269556999207},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5165883302688599},{"id":"https://openalex.org/C193702766","wikidata":"https://www.wikidata.org/wiki/Q1414548","display_name":"Concurrency","level":2,"score":0.46139761805534363},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4299178123474121},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.41694456338882446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.221364825963974},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07157739996910095},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/17445760.2021.1952580","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17445760.2021.1952580","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1744-5760","issn":["1744-5760","1744-5779"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Parallel, Emergent and Distributed Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310194","display_name":"Fulbright Foundation in Greece","ror":"https://ror.org/05r2ts661"},{"id":"https://openalex.org/F4320323163","display_name":"OeAD-GmbH","ror":"https://ror.org/05y9csv14"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W67242188","https://openalex.org/W571998607","https://openalex.org/W588975803","https://openalex.org/W654475189","https://openalex.org/W1520511539","https://openalex.org/W1566218733","https://openalex.org/W1586947210","https://openalex.org/W1601304415","https://openalex.org/W1624233634","https://openalex.org/W1983159129","https://openalex.org/W1993122571","https://openalex.org/W1996109622","https://openalex.org/W1996697001","https://openalex.org/W2034964118","https://openalex.org/W2056495496","https://openalex.org/W2160718073","https://openalex.org/W2164923389","https://openalex.org/W2423175340","https://openalex.org/W2487177550","https://openalex.org/W2489234237","https://openalex.org/W2551937259","https://openalex.org/W2753013927","https://openalex.org/W2790314610","https://openalex.org/W2897605457","https://openalex.org/W2914945775","https://openalex.org/W2943944650","https://openalex.org/W3013963739","https://openalex.org/W3151049142","https://openalex.org/W3214428327","https://openalex.org/W4205774217","https://openalex.org/W4232126773","https://openalex.org/W4237493028","https://openalex.org/W4249484115"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2257573499","https://openalex.org/W2381491984","https://openalex.org/W2064254377","https://openalex.org/W2901841247","https://openalex.org/W2148229336","https://openalex.org/W1491709828","https://openalex.org/W2159539963","https://openalex.org/W2001922003","https://openalex.org/W4244333532"],"abstract_inverted_index":{"Multidimensional":[0],"torus":[1],"interconnect":[2],"finds":[3],"wide":[4],"application":[5],"in":[6,13,63,177],"modern":[7],"exascale":[8],"computing.":[9],"For":[10],"models":[11,62],"design":[12],"high-performance":[14],"computing,":[15,19],"grid":[16,61,95],"and":[17,20,47,69,76,89,143,165,175],"cloud":[18],"also":[21],"systems":[22],"biology,":[23],"two":[24,132],"basic":[25],"ways":[26],"of":[27,59,66,87,92,100,119,122,131,135,156,169,193],"specifying":[28],"spatial":[29,125,136],"structures":[30],"with":[31],"Petri":[32,39,51,123,170,187],"nets":[33],"are":[34,84,111,127,146],"considered":[35],"\u2013":[36],"an":[37],"infinite":[38],"net":[40,52,124,188],"specified":[41],"by":[42,103],"a":[43,48,57,67,70,79],"parametric":[44,178],"expression":[45],"(PE)":[46],"reenterable":[49,71],"coloured":[50],"(CPN).":[53],"The":[54,117,153],"paper":[55],"studies":[56],"composition":[58],"hypertorus":[60],"the":[64,82,85,90,149,159],"form":[65,179],"PE":[68],"CPN,":[72],"their":[73],"mutual":[74,120],"transformations,":[75],"unfolding":[77],"into":[78],"place/transition":[80],"net;":[81],"parameters":[83],"number":[86],"dimensions":[88],"size":[91],"grid.":[93],"A":[94],"is":[96,138,158],"composed":[97],"via":[98],"connection":[99],"neighbouring":[101],"cells":[102],"dedicated":[104],"transitions":[105],"modelling":[106],"channels.":[107],"Reenterable":[108],"model":[109],"peculiarities":[110],"explained":[112],"on":[113,186],"step-by-step":[114],"simulation":[115],"examples.":[116],"rules":[118],"transformations":[121],"specifications":[126,137],"specified.":[128],"Comparative":[129],"investigation":[130],"mentioned":[133],"forms":[134],"implemented,":[139],"including":[140],"analysis":[141],"techniques":[142],"tools.":[144],"CPNs":[145],"convenient":[147],"for":[148,172,190],"state":[150],"space":[151],"analysis.":[152],"main":[154],"advantage":[155],"PEs":[157],"ability":[160],"to":[161,183],"obtain":[162],"linear":[163],"invariants":[164],"other":[166],"structural":[167],"constructs":[168],"nets,":[171],"instance,":[173],"siphons":[174],"traps,":[176],"that":[180],"allows":[181],"us":[182],"draw":[184],"conclusions":[185],"properties":[189],"any":[191],"values":[192],"parameters.":[194]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
