{"id":"https://openalex.org/W1969878123","doi":"https://doi.org/10.1137/0211036","title":"The Working Set Size Distribution for the Markov Chain Model of Program Behavior","display_name":"The Working Set Size Distribution for the Markov Chain Model of Program Behavior","publication_year":1982,"publication_date":"1982-08-01","ids":{"openalex":"https://openalex.org/W1969878123","doi":"https://doi.org/10.1137/0211036","mag":"1969878123"},"language":"en","primary_location":{"id":"doi:10.1137/0211036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0211036","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5045598051","display_name":"Micha Hofri","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Hofri","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020614722","display_name":"Percy Tzelnic","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Tzelnic","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045598051"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0541,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84740533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"3","first_page":"453","last_page":"466"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10260","display_name":"Software Engineering Research","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10260","display_name":"Software Engineering Research","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/markov-chain","display_name":"Markov chain","score":0.8070962429046631},{"id":"https://openalex.org/keywords/usable","display_name":"USable","score":0.6753273010253906},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6509157419204712},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.6193746328353882},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5782560706138611},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.4762939512729645},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.46972787380218506},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4473593831062317},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.43274733424186707},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.42507585883140564},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37853604555130005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28837549686431885},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17843925952911377},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17196789383888245},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1578351855278015}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8070962429046631},{"id":"https://openalex.org/C2780615836","wikidata":"https://www.wikidata.org/wiki/Q2471869","display_name":"USable","level":2,"score":0.6753273010253906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6509157419204712},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.6193746328353882},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5782560706138611},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.4762939512729645},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.46972787380218506},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4473593831062317},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.43274733424186707},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.42507585883140564},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37853604555130005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28837549686431885},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17843925952911377},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17196789383888245},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1578351855278015},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0211036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0211036","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W98770419","https://openalex.org/W193706516","https://openalex.org/W1600086660","https://openalex.org/W1985264830","https://openalex.org/W1988638098","https://openalex.org/W2001943037","https://openalex.org/W2002855354","https://openalex.org/W2052040062","https://openalex.org/W2082213120","https://openalex.org/W2083849624","https://openalex.org/W2084184499","https://openalex.org/W2088257029","https://openalex.org/W2088691038","https://openalex.org/W2092338347","https://openalex.org/W2112209757","https://openalex.org/W2527733085"],"related_works":["https://openalex.org/W2130519334","https://openalex.org/W2118728396","https://openalex.org/W1985664346","https://openalex.org/W3126873283","https://openalex.org/W2393621008","https://openalex.org/W2540690809","https://openalex.org/W4386839846","https://openalex.org/W2353273130","https://openalex.org/W3022014775","https://openalex.org/W2100055350"],"abstract_inverted_index":{"The":[0],"history":[1],"of":[2,4,72,77,81],"modelling":[3],"the":[5,20,28,63,69,73,89,94],"address":[6],"sequences":[7],"generated":[8],"by":[9,48],"computer":[10],"programs":[11,38],"(often":[12],"termed":[13],"\u201cprogram":[14],"behavior\u201d)":[15],"follows":[16],"a":[17,22,49,58],"familiar":[18],"pattern:":[19],"better":[21],"hypothetical":[23],"model":[24,92],"fits":[25],"experimental":[26],"evidence,":[27],"less":[29],"amenable":[30],"it":[31],"is":[32,102],"for":[33,62,68,88],"calculation.":[34],"In":[35],"this":[36],"paper":[37],"that":[39,44],"generate":[40],"successive":[41],"page":[42],"references":[43],"can":[45],"be":[46],"described":[47],"first":[50,70],"order":[51],"Markov":[52,99],"chain":[53,100],"are":[54,85],"considered.":[55],"We":[56],"produce":[57],"closed":[59],"form":[60],"expression":[61],"distribution":[64],"and":[65,93],"usable":[66],"expressions":[67,84],"moments":[71],"steady":[74],"state":[75],"size":[76],"their":[78],"working":[79],"set":[80],"pages.":[82],"These":[83],"also":[86],"specialized":[87],"independent":[90],"reference":[91],"Easton":[95],"model.":[96],"Only":[97],"standard":[98],"theory":[101],"used.":[103]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}