{"id":"https://openalex.org/W2083166259","doi":"https://doi.org/10.1016/0305-0548(94)90081-7","title":"Analytical computation of Markov chain using Pad\u00e9 approximations","display_name":"Analytical computation of Markov chain using Pad\u00e9 approximations","publication_year":1994,"publication_date":"1994-07-01","ids":{"openalex":"https://openalex.org/W2083166259","doi":"https://doi.org/10.1016/0305-0548(94)90081-7","mag":"2083166259"},"language":"en","primary_location":{"id":"doi:10.1016/0305-0548(94)90081-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(94)90081-7","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & 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/A5060423856","display_name":"Hamidreza Amindavar","orcid":"https://orcid.org/0000-0002-0954-0674"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I4210138199","display_name":"University of Washington Applied Physics Laboratory","ror":"https://ror.org/03d17d270","country_code":"US","type":"facility","lineage":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hamidreza Amindavar","raw_affiliation_strings":["Department of Electrical Engineering, FT-10, University of Washington, 2269 N.E. 53 Avenue, Seattle, WA 98195, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, FT-10, University of Washington, 2269 N.E. 53 Avenue, Seattle, WA 98195, U.S.A","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041520627","display_name":"James A. Ritcey","orcid":"https://orcid.org/0000-0002-6951-5083"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I4210138199","display_name":"University of Washington Applied Physics Laboratory","ror":"https://ror.org/03d17d270","country_code":"US","type":"facility","lineage":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James A. Ritcey","raw_affiliation_strings":["Department of Electrical Engineering, FT-10, University of Washington, 2269 N.E. 53 Avenue, Seattle, WA 98195, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, FT-10, University of Washington, 2269 N.E. 53 Avenue, Seattle, WA 98195, U.S.A","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087267932","display_name":"Arun K. Somani","orcid":"https://orcid.org/0000-0002-6248-4376"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I4210138199","display_name":"University of Washington Applied Physics Laboratory","ror":"https://ror.org/03d17d270","country_code":"US","type":"facility","lineage":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arun K. Somani","raw_affiliation_strings":["Department of Electrical Engineering, FT-10, University of Washington, 2269 N.E. 53 Avenue, Seattle, WA 98195, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, FT-10, University of Washington, 2269 N.E. 53 Avenue, Seattle, WA 98195, U.S.A","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060423856"],"corresponding_institution_ids":["https://openalex.org/I201448701","https://openalex.org/I4210138199"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20964207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"6","first_page":"661","last_page":"675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9919999837875366,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9919999837875366,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9916999936103821,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9836999773979187,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.8768049478530884},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6553106307983398},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5377137660980225},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5237674117088318},{"id":"https://openalex.org/keywords/continuous-time-markov-chain","display_name":"Continuous-time Markov chain","score":0.5061647295951843},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5021755695343018},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4629439115524292},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.45966729521751404},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4553159177303314},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.447065144777298},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.434085488319397},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4334818720817566},{"id":"https://openalex.org/keywords/balance-equation","display_name":"Balance equation","score":0.42449235916137695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3946501612663269},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38553643226623535},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1110275387763977},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0888691246509552},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06698036193847656}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8768049478530884},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6553106307983398},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5377137660980225},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5237674117088318},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.5061647295951843},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5021755695343018},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4629439115524292},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.45966729521751404},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4553159177303314},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.447065144777298},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.434085488319397},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4334818720817566},{"id":"https://openalex.org/C158917313","wikidata":"https://www.wikidata.org/wiki/Q4849964","display_name":"Balance equation","level":4,"score":0.42449235916137695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3946501612663269},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38553643226623535},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1110275387763977},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0888691246509552},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06698036193847656},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0305-0548(94)90081-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(94)90081-7","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W212594717","https://openalex.org/W1555459452","https://openalex.org/W1967986582","https://openalex.org/W1984121732","https://openalex.org/W1987664276","https://openalex.org/W1992580876","https://openalex.org/W1996480057","https://openalex.org/W2000531049","https://openalex.org/W2011124028","https://openalex.org/W2052488889","https://openalex.org/W2064733273","https://openalex.org/W2067136705","https://openalex.org/W2069596643","https://openalex.org/W2077073714","https://openalex.org/W2083408955","https://openalex.org/W2129664585","https://openalex.org/W2132180878","https://openalex.org/W2152237584","https://openalex.org/W2546800736","https://openalex.org/W2573608211","https://openalex.org/W2798909945","https://openalex.org/W3126268969","https://openalex.org/W3139690845","https://openalex.org/W6646909095","https://openalex.org/W6663378219","https://openalex.org/W6728892863"],"related_works":["https://openalex.org/W4388292411","https://openalex.org/W2380835617","https://openalex.org/W3126873283","https://openalex.org/W2987631717","https://openalex.org/W1586798105","https://openalex.org/W2113019827","https://openalex.org/W2763183697","https://openalex.org/W2043906942","https://openalex.org/W2735859191","https://openalex.org/W296145649"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}