{"id":"https://openalex.org/W2747448675","doi":"https://doi.org/10.1016/j.peva.2017.08.002","title":"On compact solution vectors in Kronecker-based Markovian analysis","display_name":"On compact solution vectors in Kronecker-based Markovian analysis","publication_year":2017,"publication_date":"2017-08-25","ids":{"openalex":"https://openalex.org/W2747448675","doi":"https://doi.org/10.1016/j.peva.2017.08.002","mag":"2747448675"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.peva.2017.08.002","pdf_url":null,"source":{"id":"https://openalex.org/S45003570","display_name":"Performance Evaluation","issn_l":"0166-5316","issn":["0166-5316","1872-745X"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":"http://repository.bilkent.edu.tr/bitstream/11693/37344/1/On_compact_solution_vectors_in_Kronecker-based_Markovian_analysis.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022119933","display_name":"Peter Buchholz","orcid":"https://orcid.org/0000-0002-9966-7686"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"funder","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P. Buchholz","raw_affiliation_strings":["Informatik IV, Technical University of Dortmund, D-44221 Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"Informatik IV, Technical University of Dortmund, D-44221 Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071009718","display_name":"Tu\u01e7rul Dayar","orcid":"https://orcid.org/0000-0001-6906-8458"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"funder","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"T. Dayar","raw_affiliation_strings":["Department of Computer Engineering, Bilkent University, TR-06800 Bilkent, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Bilkent University, TR-06800 Bilkent, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059648687","display_name":"Jan Kriege","orcid":null},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"funder","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Kriege","raw_affiliation_strings":["Informatik IV, Technical University of Dortmund, D-44221 Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"Informatik IV, Technical University of Dortmund, D-44221 Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034250274","display_name":"M. Can Orhan","orcid":null},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"funder","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"M.C. Orhan","raw_affiliation_strings":["Department of Computer Engineering, Bilkent University, TR-06800 Bilkent, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Bilkent University, TR-06800 Bilkent, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071009718"],"corresponding_institution_ids":["https://openalex.org/I168864056"],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":null,"fwci":0.827,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":15,"citation_normalized_percentile":{"value":0.70442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":89},"biblio":{"volume":"115","issue":null,"first_page":"132","last_page":"149"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9985,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9985,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9971,"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":0.9884,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.5644277},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.45241803},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43447325}],"concepts":[{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.6466411},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6007562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.57902086},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.5644277},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4737257},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.45241803},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.44778994},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.44200438},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43447325},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.41959825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33557197},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.13163623},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.peva.2017.08.002","pdf_url":null,"source":{"id":"https://openalex.org/S45003570","display_name":"Performance Evaluation","issn_l":"0166-5316","issn":["0166-5316","1872-745X"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://hdl.handle.net/11693/37344","pdf_url":"http://repository.bilkent.edu.tr/bitstream/11693/37344/1/On_compact_solution_vectors_in_Kronecker-based_Markovian_analysis.pdf","source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":["Bilkent University"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://hdl.handle.net/11693/37344","pdf_url":"http://repository.bilkent.edu.tr/bitstream/11693/37344/1/On_compact_solution_vectors_in_Kronecker-based_Markovian_analysis.pdf","source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":["Bilkent University"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung","award_id":null},{"funder":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","award_id":"2211-A"}],"datasets":[],"versions":[],"referenced_works_count":27,"referenced_works":["https://openalex.org/W1514324734","https://openalex.org/W1784183156","https://openalex.org/W1862558588","https://openalex.org/W1969620704","https://openalex.org/W1993482030","https://openalex.org/W1994609883","https://openalex.org/W2020804487","https://openalex.org/W2028717072","https://openalex.org/W2033362846","https://openalex.org/W2045605706","https://openalex.org/W2076028636","https://openalex.org/W2093419235","https://openalex.org/W2107424505","https://openalex.org/W2107561541","https://openalex.org/W2111424439","https://openalex.org/W2150905801","https://openalex.org/W2161584651","https://openalex.org/W2245765367","https://openalex.org/W2404352813","https://openalex.org/W2490937908","https://openalex.org/W2493386306","https://openalex.org/W2563233999","https://openalex.org/W276177341","https://openalex.org/W2911276185","https://openalex.org/W4245914333","https://openalex.org/W50417968","https://openalex.org/W63967995"],"related_works":["https://openalex.org/W2949407439","https://openalex.org/W2363085855","https://openalex.org/W2360296850","https://openalex.org/W2351538786","https://openalex.org/W2315991876","https://openalex.org/W2038295215","https://openalex.org/W2009982207","https://openalex.org/W1980156704","https://openalex.org/W1904938324","https://openalex.org/W1862558588"],"abstract_inverted_index":null,"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2747448675","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2025-04-24T19:38:52.438099","created_date":"2017-08-31"}