{"id":"https://openalex.org/W3105159463","doi":"https://doi.org/10.1007/978-3-642-40184-8_26","title":"Compositional Verification and Optimization of Interactive Markov Chains","display_name":"Compositional Verification and Optimization of Interactive Markov Chains","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W3105159463","doi":"https://doi.org/10.1007/978-3-642-40184-8_26","mag":"3105159463"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40184-8_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40184-8_26","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1305.7332","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028747794","display_name":"Holger Hermanns","orcid":"https://orcid.org/0000-0002-2766-9615"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Holger Hermanns","raw_affiliation_strings":["Computer Science, Saarland University, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Computer Science, Saarland University, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081789779","display_name":"Jan Kr\u010d\u00e1l","orcid":null},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Kr\u010d\u00e1l","raw_affiliation_strings":["Faculty of Informatics, Masaryk University, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Masaryk University, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074485601","display_name":"Jan K\u0159et\u00ednsk\u00fd","orcid":"https://orcid.org/0000-0002-8122-2881"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"Jan K\u0159et\u00ednsk\u00fd","raw_affiliation_strings":["Faculty of Informatics, Masaryk University, Czech Republic","Institut f\u00fcr Informatik, Technical University Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Masaryk University, Czech Republic","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, Technical University Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028747794"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.8593,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.91403162,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"364","last_page":"379"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9993000030517578,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9836000204086304,"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":0.8109419345855713},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7756927609443665},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.711304783821106},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.6598275899887085},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6488404273986816},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.555814802646637},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5011425018310547},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43808406591415405},{"id":"https://openalex.org/keywords/continuous-time-markov-chain","display_name":"Continuous-time Markov chain","score":0.433887779712677},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.43254274129867554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39537104964256287},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36973923444747925},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.32099443674087524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18250903487205505},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08414572477340698}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8109419345855713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7756927609443665},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.711304783821106},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6598275899887085},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6488404273986816},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.555814802646637},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5011425018310547},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43808406591415405},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.433887779712677},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.43254274129867554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39537104964256287},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36973923444747925},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.32099443674087524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18250903487205505},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08414572477340698},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-40184-8_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40184-8_26","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"},{"id":"pmh:oai:arXiv.org:1305.7332","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1305.7332","pdf_url":"https://arxiv.org/pdf/1305.7332","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.684.545","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.684.545","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://depend.cs.uni-sb.de/uploads/media/concur2013.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.743.6867","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.743.6867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1305.7332.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1305.7332","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1305.7332","pdf_url":"https://arxiv.org/pdf/1305.7332","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W79913995","https://openalex.org/W1499790443","https://openalex.org/W1504080271","https://openalex.org/W1520708882","https://openalex.org/W1521052220","https://openalex.org/W1527706278","https://openalex.org/W1581031502","https://openalex.org/W1592788962","https://openalex.org/W1623473440","https://openalex.org/W1980717955","https://openalex.org/W2000890456","https://openalex.org/W2038952689","https://openalex.org/W2059057465","https://openalex.org/W2088823298","https://openalex.org/W2115054228","https://openalex.org/W2124777750","https://openalex.org/W2140493413","https://openalex.org/W2141823988","https://openalex.org/W2144338184","https://openalex.org/W2148106163","https://openalex.org/W2148384577","https://openalex.org/W2152342144","https://openalex.org/W2157239333","https://openalex.org/W2158503535","https://openalex.org/W2243362255","https://openalex.org/W2296646831","https://openalex.org/W2410243683","https://openalex.org/W2913425508","https://openalex.org/W3105159463","https://openalex.org/W4246195644","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3022014775","https://openalex.org/W2393621008","https://openalex.org/W2540690809","https://openalex.org/W2100055350","https://openalex.org/W2987631717","https://openalex.org/W2353273130","https://openalex.org/W2410777413","https://openalex.org/W1974839821","https://openalex.org/W2019735591","https://openalex.org/W2129435535"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
