{"id":"https://openalex.org/W43528323","doi":"https://doi.org/10.1007/978-3-642-39408-9_29","title":"Semi-Product-Form Solution for PEPA Models with Functional Rates","display_name":"Semi-Product-Form Solution for PEPA Models with Functional Rates","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W43528323","doi":"https://doi.org/10.1007/978-3-642-39408-9_29","mag":"43528323"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-39408-9_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39408-9_29","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/A5010768909","display_name":"Nigel Thomas","orcid":"https://orcid.org/0000-0002-0844-6838"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nigel Thomas","raw_affiliation_strings":["School of Computing Science, Newcastle University, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing Science, Newcastle University, UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080155994","display_name":"Peter G. Harrison","orcid":"https://orcid.org/0000-0002-7378-1405"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peter G. Harrison","raw_affiliation_strings":["Department of Computing, Imperial College London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.02349921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"416","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9983000159263611,"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":0.9983000159263611,"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":0.9955000281333923,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7272183895111084},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.6326062679290771},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.6153964400291443},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6095647811889648},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5528985261917114},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5511415600776672},{"id":"https://openalex.org/keywords/process-calculus","display_name":"Process calculus","score":0.5508803725242615},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5356341004371643},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.49309107661247253},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4784664809703827},{"id":"https://openalex.org/keywords/layered-queueing-network","display_name":"Layered queueing network","score":0.4233192801475525},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37664127349853516},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3694228231906891},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32556599378585815},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3185243010520935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19380173087120056}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7272183895111084},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.6326062679290771},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.6153964400291443},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6095647811889648},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5528985261917114},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5511415600776672},{"id":"https://openalex.org/C161771561","wikidata":"https://www.wikidata.org/wiki/Q1970286","display_name":"Process calculus","level":2,"score":0.5508803725242615},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5356341004371643},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.49309107661247253},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4784664809703827},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.4233192801475525},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37664127349853516},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3694228231906891},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32556599378585815},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3185243010520935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19380173087120056},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-39408-9_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39408-9_29","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G1956901641","display_name":null,"funder_award_id":"EP/I030921/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1497386143","https://openalex.org/W1510127344","https://openalex.org/W1930976743","https://openalex.org/W1979732947","https://openalex.org/W2000903122","https://openalex.org/W2016618676","https://openalex.org/W2016993489","https://openalex.org/W2021089599","https://openalex.org/W2029486757","https://openalex.org/W2044811734","https://openalex.org/W2053491613","https://openalex.org/W2071006253","https://openalex.org/W2074637591","https://openalex.org/W2080797295","https://openalex.org/W2108143187","https://openalex.org/W2108737865","https://openalex.org/W2111390218","https://openalex.org/W2112007503","https://openalex.org/W2120926795","https://openalex.org/W2124658428","https://openalex.org/W2130484471","https://openalex.org/W2142657952","https://openalex.org/W2156292451","https://openalex.org/W2167563022","https://openalex.org/W2170774457","https://openalex.org/W2172399663","https://openalex.org/W2182926108","https://openalex.org/W2600008979","https://openalex.org/W2940741905","https://openalex.org/W4206542816"],"related_works":["https://openalex.org/W1701464461","https://openalex.org/W2168047232","https://openalex.org/W2121863833","https://openalex.org/W2137668347","https://openalex.org/W2299822401","https://openalex.org/W1977970311","https://openalex.org/W2149540948","https://openalex.org/W36834199","https://openalex.org/W2170282368","https://openalex.org/W1556477456"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}