{"id":"https://openalex.org/W1556517679","doi":"https://doi.org/10.1007/978-3-540-72522-0_1","title":"Performance Modelling and Markov Chains","display_name":"Performance Modelling and Markov Chains","publication_year":2007,"publication_date":"2007-06-05","ids":{"openalex":"https://openalex.org/W1556517679","doi":"https://doi.org/10.1007/978-3-540-72522-0_1","mag":"1556517679"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-72522-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72522-0_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5012425915","display_name":"William J. Stewart","orcid":"https://orcid.org/0000-0003-4482-9147"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William J. Stewart","raw_affiliation_strings":["Department of Computer Science, North Carolina State University, Raleigh, NC 27695, USA","Dept. of Computer Science, North Carolina State University, Raleigh, NC"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, North Carolina State University, Raleigh, NC 27695, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Dept. of Computer Science, North Carolina State University, Raleigh, NC","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012425915"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6821,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.70490474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9901999831199646,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/markov-chain","display_name":"Markov chain","score":0.8451657295227051},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6981594562530518},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6230810284614563},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.5342276096343994},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4737209379673004},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4474739730358124},{"id":"https://openalex.org/keywords/industrial-engineering","display_name":"Industrial engineering","score":0.3906855881214142},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3353153467178345},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22646859288215637},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22136202454566956},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1867804229259491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12140581011772156}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8451657295227051},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6981594562530518},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6230810284614563},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.5342276096343994},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4737209379673004},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4474739730358124},{"id":"https://openalex.org/C13736549","wikidata":"https://www.wikidata.org/wiki/Q4489420","display_name":"Industrial engineering","level":1,"score":0.3906855881214142},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3353153467178345},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22646859288215637},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22136202454566956},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1867804229259491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12140581011772156},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-72522-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72522-0_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W45613378","https://openalex.org/W49450320","https://openalex.org/W365938073","https://openalex.org/W562104535","https://openalex.org/W1003548120","https://openalex.org/W1481154621","https://openalex.org/W1493426572","https://openalex.org/W1493702067","https://openalex.org/W1510002263","https://openalex.org/W1510263548","https://openalex.org/W1514324734","https://openalex.org/W1557545083","https://openalex.org/W1563653928","https://openalex.org/W1575311131","https://openalex.org/W1603479876","https://openalex.org/W1608119595","https://openalex.org/W1812962780","https://openalex.org/W1836481452","https://openalex.org/W1849833029","https://openalex.org/W1967986582","https://openalex.org/W1969139579","https://openalex.org/W1969620704","https://openalex.org/W1976057993","https://openalex.org/W1984121732","https://openalex.org/W1988914905","https://openalex.org/W1989154489","https://openalex.org/W1992055253","https://openalex.org/W1997606563","https://openalex.org/W2006924038","https://openalex.org/W2007641629","https://openalex.org/W2016392619","https://openalex.org/W2020881780","https://openalex.org/W2021440403","https://openalex.org/W2029222199","https://openalex.org/W2031720945","https://openalex.org/W2033031224","https://openalex.org/W2042624802","https://openalex.org/W2044708812","https://openalex.org/W2047177830","https://openalex.org/W2051004022","https://openalex.org/W2054579824","https://openalex.org/W2057933053","https://openalex.org/W2067136705","https://openalex.org/W2070689535","https://openalex.org/W2079636926","https://openalex.org/W2080533139","https://openalex.org/W2085455895","https://openalex.org/W2102904625","https://openalex.org/W2104299230","https://openalex.org/W2106815429","https://openalex.org/W2109044896","https://openalex.org/W2109828309","https://openalex.org/W2111424439","https://openalex.org/W2113763958","https://openalex.org/W2114738666","https://openalex.org/W2119239145","https://openalex.org/W2122132743","https://openalex.org/W2130727150","https://openalex.org/W2137123071","https://openalex.org/W2138948521","https://openalex.org/W2146819800","https://openalex.org/W2154602821","https://openalex.org/W2159109239","https://openalex.org/W2161584651","https://openalex.org/W2483808274","https://openalex.org/W2496763606","https://openalex.org/W2504360851","https://openalex.org/W2506073915","https://openalex.org/W2561675875","https://openalex.org/W2566078798","https://openalex.org/W2671866304","https://openalex.org/W2798909945","https://openalex.org/W2799598053","https://openalex.org/W4243290645","https://openalex.org/W4248633843","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2084326697","https://openalex.org/W2027903142","https://openalex.org/W2354322608","https://openalex.org/W2804608325","https://openalex.org/W2077211377","https://openalex.org/W2413828414","https://openalex.org/W2186675474"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}