{"id":"https://openalex.org/W2061500975","doi":"https://doi.org/10.1007/s00186-006-0067-3","title":"Semi-Markov modulated Poisson process: probabilistic and statistical analysis","display_name":"Semi-Markov modulated Poisson process: probabilistic and statistical analysis","publication_year":2006,"publication_date":"2006-07-25","ids":{"openalex":"https://openalex.org/W2061500975","doi":"https://doi.org/10.1007/s00186-006-0067-3","mag":"2061500975"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-006-0067-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-006-0067-3","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"type":"article","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/A5023411181","display_name":"S\u00fcleyman \u00d6zek\u0131c\u0131","orcid":"https://orcid.org/0000-0003-3610-1746"},"institutions":[{"id":"https://openalex.org/I1351752","display_name":"Ko\u00e7 University","ror":"https://ror.org/00jzwgz36","country_code":"TR","type":"education","lineage":["https://openalex.org/I1351752"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"S. \u00d6zekici","raw_affiliation_strings":["Department of Industrial Engineering, Ko\u00e7 University, 34450, Sar\u0131yer-\u0130stanbul, Turkey","Koc\u00b8 University"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Ko\u00e7 University, 34450, Sar\u0131yer-\u0130stanbul, Turkey","institution_ids":["https://openalex.org/I1351752"]},{"raw_affiliation_string":"Koc\u00b8 University","institution_ids":["https://openalex.org/I1351752"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086232508","display_name":"Refik Soyer","orcid":"https://orcid.org/0000-0002-7854-7837"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Soyer","raw_affiliation_strings":["Department of Management Science, The George Washington University, Washington, DC, 20052, USA","the George Washington University"],"affiliations":[{"raw_affiliation_string":"Department of Management Science, The George Washington University, Washington, DC, 20052, USA","institution_ids":["https://openalex.org/I193531525"]},{"raw_affiliation_string":"the George Washington University","institution_ids":["https://openalex.org/I193531525"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023411181"],"corresponding_institution_ids":["https://openalex.org/I1351752"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.9605,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.7940833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"1","first_page":"125","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9986000061035156,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.991100013256073,"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/poisson-distribution","display_name":"Poisson distribution","score":0.6892732977867126},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6797581911087036},{"id":"https://openalex.org/keywords/markovian-arrival-process","display_name":"Markovian arrival process","score":0.6688673496246338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6225171685218811},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6162876486778259},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5955878496170044},{"id":"https://openalex.org/keywords/poisson-process","display_name":"Poisson process","score":0.5515279769897461},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.5163992047309875},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.48878714442253113},{"id":"https://openalex.org/keywords/markov-renewal-process","display_name":"Markov renewal process","score":0.46069759130477905},{"id":"https://openalex.org/keywords/cox-process","display_name":"Cox process","score":0.45342421531677246},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4337434768676758},{"id":"https://openalex.org/keywords/renewal-theory","display_name":"Renewal theory","score":0.43223634362220764},{"id":"https://openalex.org/keywords/compound-poisson-process","display_name":"Compound Poisson process","score":0.4153994619846344},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.3457843065261841},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3422359228134155},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33523333072662354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28285887837409973},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2720370292663574},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.2277439832687378},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12584653496742249},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10299086570739746},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05719366669654846}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6892732977867126},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6797581911087036},{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.6688673496246338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6225171685218811},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6162876486778259},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5955878496170044},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.5515279769897461},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.5163992047309875},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.48878714442253113},{"id":"https://openalex.org/C163540672","wikidata":"https://www.wikidata.org/wiki/Q1115431","display_name":"Markov renewal process","level":5,"score":0.46069759130477905},{"id":"https://openalex.org/C155051063","wikidata":"https://www.wikidata.org/wiki/Q1290919","display_name":"Cox process","level":4,"score":0.45342421531677246},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4337434768676758},{"id":"https://openalex.org/C110507122","wikidata":"https://www.wikidata.org/wiki/Q1356856","display_name":"Renewal theory","level":2,"score":0.43223634362220764},{"id":"https://openalex.org/C133338972","wikidata":"https://www.wikidata.org/wiki/Q2055750","display_name":"Compound Poisson process","level":4,"score":0.4153994619846344},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.3457843065261841},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3422359228134155},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33523333072662354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28285887837409973},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2720370292663574},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.2277439832687378},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12584653496742249},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10299086570739746},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05719366669654846},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00186-006-0067-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-006-0067-3","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:64:y:2006:i:1:p:125-144","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00186-006-0067-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W31337164","https://openalex.org/W1485186167","https://openalex.org/W2009148227","https://openalex.org/W2041041037","https://openalex.org/W2042894453","https://openalex.org/W2046507078","https://openalex.org/W2059360133","https://openalex.org/W2060864642","https://openalex.org/W2066906122","https://openalex.org/W2067136705","https://openalex.org/W2114017592","https://openalex.org/W2155757720","https://openalex.org/W2162602207","https://openalex.org/W2163481385","https://openalex.org/W2905296953","https://openalex.org/W3026026050","https://openalex.org/W4251758116"],"related_works":["https://openalex.org/W2030126805","https://openalex.org/W2184541843","https://openalex.org/W2331089521","https://openalex.org/W4233290559","https://openalex.org/W4231545568","https://openalex.org/W4244043817","https://openalex.org/W2091600578","https://openalex.org/W2076243913","https://openalex.org/W2185615436","https://openalex.org/W2061500975"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}