{"id":"https://openalex.org/W2170652004","doi":"https://doi.org/10.1109/iri.2008.4583067","title":"Model check stochastic supply chains","display_name":"Model check stochastic supply chains","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2170652004","doi":"https://doi.org/10.1109/iri.2008.4583067","mag":"2170652004"},"language":"en","primary_location":{"id":"doi:10.1109/iri.2008.4583067","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iri.2008.4583067","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Information Reuse and Integration","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100621819","display_name":"Li Tan","orcid":"https://orcid.org/0000-0002-7143-1313"},"institutions":[{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li Tan","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Washington State University, Richland, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Washington State University, Richland, WA, USA","institution_ids":["https://openalex.org/I72951846"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006871027","display_name":"Shenghan Xu","orcid":"https://orcid.org/0000-0002-9668-0826"},"institutions":[{"id":"https://openalex.org/I155093810","display_name":"University of Idaho","ror":"https://ror.org/03hbp5t65","country_code":"US","type":"education","lineage":["https://openalex.org/I155093810"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shenghan Xu","raw_affiliation_strings":["College of Business and Economics, University of Idaho, Moscow, ID, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Business and Economics, University of Idaho, Moscow, ID, USA","institution_ids":["https://openalex.org/I155093810"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":null,"first_page":"416","last_page":"421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9984999895095825,"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/T10142","display_name":"Formal Methods in Verification","score":0.9984999895095825,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T13295","display_name":"Safety Systems Engineering in Autonomy","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7917194962501526},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.7709516286849976},{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.6909278035163879},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6395599842071533},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5372424721717834},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.5183725953102112},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.5105119943618774},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.4922148287296295},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.4837493896484375},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.44747820496559143},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4434429705142975},{"id":"https://openalex.org/keywords/probabilistic-ctl","display_name":"Probabilistic CTL","score":0.4352293312549591},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4294777512550354},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.35367777943611145},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2882641553878784},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.2017674446105957},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19155028462409973},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.17269116640090942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.08336088061332703}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7917194962501526},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.7709516286849976},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.6909278035163879},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6395599842071533},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5372424721717834},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.5183725953102112},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.5105119943618774},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.4922148287296295},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.4837493896484375},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.44747820496559143},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4434429705142975},{"id":"https://openalex.org/C52063229","wikidata":"https://www.wikidata.org/wiki/Q7246845","display_name":"Probabilistic CTL","level":4,"score":0.4352293312549591},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4294777512550354},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.35367777943611145},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2882641553878784},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.2017674446105957},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19155028462409973},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.17269116640090942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08336088061332703},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iri.2008.4583067","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iri.2008.4583067","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Information Reuse and Integration","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1588952892","https://openalex.org/W1601373402","https://openalex.org/W1859458367","https://openalex.org/W2075543579","https://openalex.org/W2112347632","https://openalex.org/W2118039525","https://openalex.org/W2119567691","https://openalex.org/W2153159747","https://openalex.org/W2334782222","https://openalex.org/W4242441073","https://openalex.org/W6639015652"],"related_works":["https://openalex.org/W2238201325","https://openalex.org/W2138707849","https://openalex.org/W2532582634","https://openalex.org/W2401977081","https://openalex.org/W3005864166","https://openalex.org/W1981889059","https://openalex.org/W1967294943","https://openalex.org/W2105544244","https://openalex.org/W2164417106","https://openalex.org/W2144159228"],"abstract_inverted_index":{"Supply":[0],"chain":[1,26,175],"[2,":[2],"6]":[3],"is":[4,15,49,65],"an":[5],"important":[6],"component":[7],"of":[8,43,101,111,125,162,172],"business":[9],"operations.":[10],"Understanding":[11],"its":[12],"stochastic":[13,41,61,80,103,152,173],"behaviors":[14,42],"the":[16,40,99,121,129,135,160],"key":[17],"to":[18,97,119,145,169],"risk":[19],"analysis":[20,100],"and":[21,28,38,123,134,147,151],"performance":[22],"evaluation":[23],"in":[24,114],"supply":[25,45,81,104,155,174],"design":[27],"management.":[29],"We":[30],"propose":[31,92],"a":[32,44,55,75,93,102,170],"novel":[33],"computational":[34],"framework":[35,48,77],"for":[36,59,78],"modeling":[37,79],"analyzing":[39,60],"chain.":[46,105],"The":[47],"based":[50,83],"on":[51,84,154],"probabilistic":[52,116,137],"model":[53,117,138],"checking,":[54],"formal":[56,76,95],"verification":[57],"technique":[58,96],"systems.":[62],"Our":[63,106],"approach":[64,108,165],"two-fold:":[66],"first,":[67],"we":[68,91,142,158],"develop":[69],"Stochastic":[70],"Merchandise":[71],"Flow":[72],"Model":[73],"(SMF),":[74],"chains":[82],"Extended":[85],"Markov":[86],"Decision":[87],"Process":[88],"(EMDP);":[89],"second,":[90],"model-checking-based":[94,107,164],"automate":[98],"leverages":[109],"benefits":[110],"recent":[112],"advances":[113],"symbolic":[115,136],"checking":[118],"improve":[120],"efficiency":[122],"scalability":[124],"decision":[126],"procedures.":[127],"Using":[128],"temporal":[130,150],"logic":[131],"PCTL":[132],"[1]":[133],"checker":[139],"PRISM":[140],"[4],":[141],"are":[143],"able":[144],"express":[146],"check":[148],"complicate":[149],"properties":[153],"chains.":[156],"Finally,":[157],"demonstrate":[159],"capability":[161],"our":[163],"by":[166],"applying":[167],"it":[168],"variety":[171],"models.":[176]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}