{"id":"https://openalex.org/W2086998120","doi":"https://doi.org/10.1051/ro/2009019","title":"The behavior of a Markov network with respect to an absorbing class: the target algorithm","display_name":"The behavior of a Markov network with respect to an absorbing class: the target algorithm","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2086998120","doi":"https://doi.org/10.1051/ro/2009019","mag":"2086998120"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2009019","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2009019","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.numdam.org/item/10.1051/ro/2009019.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028290791","display_name":"Giacomo Aletti","orcid":"https://orcid.org/0000-0002-7466-2969"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giacomo Aletti","raw_affiliation_strings":["ADAMSS Centre & Dipartimento di Matematica, Universit\u00e0\u2000di Milano, 20133 Milan, Italy; giacomo.aletti@unimi.it","ADAMSS Centre & Dipartimento di Matematica, Universit\u00e0\u2000di Milano, 20133 Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ADAMSS Centre & Dipartimento di Matematica, Universit\u00e0\u2000di Milano, 20133 Milan, Italy; giacomo.aletti@unimi.it","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"ADAMSS Centre & Dipartimento di Matematica, Universit\u00e0\u2000di Milano, 20133 Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028290791"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":null,"apc_paid":null,"fwci":0.2614,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60861456,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"3","first_page":"231","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.8241854906082153},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7906265258789062},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6877901554107666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6084402203559875},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5793343782424927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5463346838951111},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5313117504119873},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.476538747549057},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47336694598197937},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4702034592628479},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4408538341522217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44047653675079346},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4071308374404907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.327080100774765},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10109788179397583}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8241854906082153},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7906265258789062},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6877901554107666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6084402203559875},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5793343782424927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5463346838951111},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5313117504119873},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.476538747549057},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47336694598197937},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4702034592628479},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4408538341522217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44047653675079346},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4071308374404907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.327080100774765},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10109788179397583},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2009019","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2009019","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2009__43_3_231_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2009019/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2009019.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:numdam.org:RO_2009__43_3_231_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2009019/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2009019.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2086998120.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W145637480","https://openalex.org/W1975061404","https://openalex.org/W1995105271","https://openalex.org/W2012511251","https://openalex.org/W2017019778","https://openalex.org/W2021622021","https://openalex.org/W2051455677","https://openalex.org/W2081523148","https://openalex.org/W2487357022","https://openalex.org/W2503485756","https://openalex.org/W3148930403","https://openalex.org/W4235623394"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W2340777379","https://openalex.org/W1487400845","https://openalex.org/W1841898224"],"abstract_inverted_index":{"In":[0],"this":[1,60,112,143,170],"paper,":[2],"we":[3],"face":[4],"a":[5,21,42,45,108,138],"generalization":[6],"of":[7,10,14,25,33,37,49,69,90,94,98,107,137],"the":[8,12,35,51,66,70,84,88,92,95,102,105,116,135,162],"problem":[9],"finding":[11,34,50],"distribution":[13,93],"how":[15,65],"long":[16],"it":[17],"takes":[18],"to":[19,44,57,59,160],"reach":[20],"\u201ctarget\u201d":[22],"set":[23,47],"T":[24],"states":[26,80],"in":[27,83,119],"Markov":[28,71,150],"chain.":[29],"The":[30],"graph":[31],"problems":[32,159],"number":[36],"paths":[38],"that":[39,81,165],"go":[40],"from":[41],"state":[43,67],"target":[46],"and":[48,104,122],"n-length":[52],"path":[53],"connections":[54],"are":[55,148],"shown":[56],"belong":[58],"generalization.":[61],"This":[62],"paper":[63],"explores":[64],"space":[68],"chain":[72],"can":[73],"be":[74],"reduced":[75],"by":[76,169],"collapsing":[77],"together":[78,133],"those":[79],"behave":[82],"same":[85],"way":[86],"for":[87,111],"purposes":[89],"calculating":[91],"hitting":[96],"time":[97],"T.":[99],"We":[100],"prove":[101],"existence":[103,136],"uniqueness":[106],"optimal":[109],"projection":[110],"aim":[113],"which":[114,141],"extends":[115],"results":[117],"given":[118],"[G.":[120],"Aletti":[121],"E.":[123],"Merzbach,":[124],"J.":[125],"Eur.":[126],"Math.":[127],"Soc.":[128],"(JEMS)":[129],"8":[130],"(2006)":[131],"49\u201375],":[132],"with":[134],"polynomial":[139],"algorithm":[140],"reaches":[142],"optimum.":[144],"Some":[145],"applied":[146],"examples":[147],"presented.":[149],"complexity":[151],"is":[152,166],"defined":[153],"an":[154],"tested":[155],"on":[156],"some":[157],"classical":[158],"demonstrate":[161],"deeper":[163],"understanding":[164],"made":[167],"possible":[168],"approach.":[171]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
