{"id":"https://openalex.org/W2111170904","doi":"https://doi.org/10.1007/s11134-009-9140-y","title":"Exact asymptotics for the stationary distribution of\u00a0a\u00a0Markov chain: a production model","display_name":"Exact asymptotics for the stationary distribution of\u00a0a\u00a0Markov chain: a production model","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2111170904","doi":"https://doi.org/10.1007/s11134-009-9140-y","mag":"2111170904"},"language":"en","primary_location":{"id":"doi:10.1007/s11134-009-9140-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-009-9140-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-009-9140-y.pdf","source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11134-009-9140-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110680374","display_name":"Ivo Adan","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ivo Adan","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, HG 9.07, P.O. Box 513, 5600, MB, Eindhoven, The Netherlands","Department of Mathematics and Computer Science, Eindhoven university of Technology, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, HG 9.07, P.O. Box 513, 5600, MB, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven university of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089148833","display_name":"Robert D. Foley","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert D. Foley","raw_affiliation_strings":["Department of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia, 30332-0205, USA","Department of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia, 30332-0205, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Department of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112455175","display_name":"David McDonald","orcid":null},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"David R. McDonald","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Ottawa, Ottawa, Ontario, Canada, K1N 6N5","Department of Mathematics and Statistics, The University of Ottawa, Ottawa, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Ottawa, Ottawa, Ontario, Canada, K1N 6N5","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Ottawa, Ottawa, Canada","institution_ids":["https://openalex.org/I153718931"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110680374"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":7.8732,"has_fulltext":true,"cited_by_count":40,"citation_normalized_percentile":{"value":0.98603296,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"62","issue":"4","first_page":"311","last_page":"344"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.998199999332428,"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/mathematics","display_name":"Mathematics","score":0.6316109299659729},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6169899106025696},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5915036201477051},{"id":"https://openalex.org/keywords/rare-events","display_name":"Rare events","score":0.5848587155342102},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.5821031928062439},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5804073214530945},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.5338457822799683},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5094271302223206},{"id":"https://openalex.org/keywords/discrete-phase-type-distribution","display_name":"Discrete phase-type distribution","score":0.4868273138999939},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.47761648893356323},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.451621949672699},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4437279999256134},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43347927927970886},{"id":"https://openalex.org/keywords/continuous-time-markov-chain","display_name":"Continuous-time Markov chain","score":0.4304405152797699},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.43043047189712524},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.29490339756011963},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27866223454475403},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.25078123807907104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11821159720420837},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11039277911186218}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6316109299659729},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6169899106025696},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5915036201477051},{"id":"https://openalex.org/C2777317252","wikidata":"https://www.wikidata.org/wiki/Q18393516","display_name":"Rare events","level":2,"score":0.5848587155342102},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.5821031928062439},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5804073214530945},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.5338457822799683},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5094271302223206},{"id":"https://openalex.org/C130359071","wikidata":"https://www.wikidata.org/wiki/Q5282057","display_name":"Discrete phase-type distribution","level":5,"score":0.4868273138999939},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.47761648893356323},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.451621949672699},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4437279999256134},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43347927927970886},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.4304405152797699},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.43043047189712524},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.29490339756011963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27866223454475403},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.25078123807907104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11821159720420837},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11039277911186218},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":14,"locations":[{"id":"doi:10.1007/s11134-009-9140-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-009-9140-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-009-9140-y.pdf","source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/ac04eaa9-69df-458a-8feb-e909d97a2d5f","is_oa":false,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/exact-asymptotics-for-the-stationary-distribution-of-a-markov-chain-a-production-model(ac04eaa9-69df-458a-8feb-e909d97a2d5f).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Adan, I, Foley, R D & McDonald, D R 2009, 'Exact asymptotics for the stationary distribution of a Markov chain: a production model', Queueing Systems, vol. 62, no. 4, pp. 311-344. https://doi.org/10.1007/s11134-009-9140-y","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/30def921-7343-4227-a9c1-3f34f113f642","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/30def921-7343-4227-a9c1-3f34f113f642","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Adan, I J B F, Foley, R D & McDonald, D R 2009, 'Exact asymptotics for the stationary distribution of a Markov chain: A production model', Queueing Systems, vol. 62, no. 4, pp. 311-344. https://doi.org/10.1007/s11134-009-9140-y","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/be8fdd38-f1fd-4e53-8abf-e710959ff2e1","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/exact-asymptotics-for-the-stationary-distribution-of-a-markov-chain-a-production-model(be8fdd38-f1fd-4e53-8abf-e710959ff2e1).html","pdf_url":"http://alexandria.tue.nl/repository/books/638716.pdf","source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adan, I, Foley, R D & McDonald, D R 2008 'Exact asymptotics for the stationary distribution of a Markov chain: A production model' Eurandom report series, no. 2008-036, Eindhoven. < http://alexandria.tue.nl/repository/books/638716.pdf >","raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:653684","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=653684","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0257-0130","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.531.1759","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.531.1759","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://alexandria.tue.nl/repository/books/638716.pdf","raw_type":"text"},{"id":"pmh:oai:dare.uva.nl:publications/ac04eaa9-69df-458a-8feb-e909d97a2d5f","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/exact-asymptotics-for-the-stationary-distribution-of-a-markov-chain-a-production-model(ac04eaa9-69df-458a-8feb-e909d97a2d5f).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adan, I, Foley, R D & McDonald, D R 2009, 'Exact asymptotics for the stationary distribution of a Markov chain: a production model', Queueing Systems, vol. 62, no. 4, pp. 311-344. https://doi.org/10.1007/s11134-009-9140-y","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:publications/be8fdd38-f1fd-4e53-8abf-e710959ff2e1","is_oa":false,"landing_page_url":"http://dare.uva.nl/personal/pure/en/publications/exact-asymptotics-for-the-stationary-distribution-of-a-markov-chain-a-production-model(be8fdd38-f1fd-4e53-8abf-e710959ff2e1).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adan, I, Foley, R D & McDonald, D R 2008 'Exact asymptotics for the stationary distribution of a Markov chain: A production model' Eurandom report series, no. 2008-036, Eindhoven. < http://alexandria.tue.nl/repository/books/638716.pdf >","raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:oai:library.tue.nl:638716","is_oa":false,"landing_page_url":"http://repository.tue.nl/638716","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"External research report"},{"id":"pmh:oai:library.tue.nl:653684","is_oa":false,"landing_page_url":"http://repository.tue.nl/653684","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0257-0130","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:pure.tue.nl:openaire/806dfea1-f73b-4a82-9b89-c966b813862d","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/806dfea1-f73b-4a82-9b89-c966b813862d","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adan, I J B F, Foley, R D & McDonald, D R 2008, Exact asymptotics for the stationary distribution of a Markov chain : a production model. Report Eurandom, vol. 2008036, Eurandom, Eindhoven.","raw_type":"book"},{"id":"pmh:tue:oai:pure.tue.nl:publications/30def921-7343-4227-a9c1-3f34f113f642","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/30def921-7343-4227-a9c1-3f34f113f642","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Queueing Systems: Theory and Applications, 62(4), 311 - 344. Springer","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/806dfea1-f73b-4a82-9b89-c966b813862d","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/806dfea1-f73b-4a82-9b89-c966b813862d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:uvapub:oai:dare.uva.nl:publications/be8fdd38-f1fd-4e53-8abf-e710959ff2e1","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/exact-asymptotics-for-the-stationary-distribution-of-a-markov-chain-a-production-model(be8fdd38-f1fd-4e53-8abf-e710959ff2e1).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/workingpaper"}],"best_oa_location":{"id":"doi:10.1007/s11134-009-9140-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-009-9140-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-009-9140-y.pdf","source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G273661373","display_name":"Large Deviations and Exact Asymptotics:  A Constructive Theory","funder_award_id":"0856489","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4229657730","display_name":null,"funder_award_id":"CMMI-0856489","funder_id":"https://openalex.org/F4320337391","funder_display_name":"Division of Civil, Mechanical and Manufacturing Innovation"},{"id":"https://openalex.org/G5954070948","display_name":null,"funder_award_id":"CMMI-","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6564007140","display_name":null,"funder_award_id":"A4551","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2111170904.pdf","grobid_xml":"https://content.openalex.org/works/W2111170904.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W634878933","https://openalex.org/W1967486764","https://openalex.org/W1980086179","https://openalex.org/W1995713768","https://openalex.org/W2025232464","https://openalex.org/W2032209986","https://openalex.org/W2042616365","https://openalex.org/W2050521835","https://openalex.org/W2092802296","https://openalex.org/W2093515462","https://openalex.org/W2105518356","https://openalex.org/W2120110116","https://openalex.org/W2126794261","https://openalex.org/W2151652913","https://openalex.org/W2159279836","https://openalex.org/W2169071224","https://openalex.org/W2334640824","https://openalex.org/W2576343906","https://openalex.org/W2791091243","https://openalex.org/W2797135730","https://openalex.org/W3026026050","https://openalex.org/W3099695193","https://openalex.org/W4213329537","https://openalex.org/W4253991977"],"related_works":["https://openalex.org/W2079698488","https://openalex.org/W124837332","https://openalex.org/W1662138908","https://openalex.org/W2032212734","https://openalex.org/W1523345375","https://openalex.org/W2320629546","https://openalex.org/W4249806521","https://openalex.org/W2056787380","https://openalex.org/W2028853106","https://openalex.org/W2068775135"],"abstract_inverted_index":{"We":[0],"derive":[1],"rough":[2],"and":[3],"exact":[4],"asymptotic":[5],"expressions":[6],"for":[7],"the":[8,33,37,42,45,59,77,86],"stationary":[9],"distribution":[10],"\u03c0":[11,81],"of":[12,36,71],"a":[13,18,54],"Markov":[14],"chain":[15],"arising":[16],"in":[17],"queueing/production":[19],"context.":[20],"The":[21],"approach":[22,52],"we":[23,66],"develop":[24],"can":[25,67],"also":[26],"handle":[27],"\u201ccascades,\u201d":[28],"which":[29],"are":[30],"situations":[31],"where":[32],"fluid":[34],"limit":[35],"large":[38],"deviation":[39],"path":[40],"from":[41],"origin":[43],"to":[44],"increasingly":[46],"rare":[47,60],"event":[48],"is":[49],"nonlinear.":[50],"Our":[51],"considers":[53],"process":[55],"that":[56,73],"starts":[57],"at":[58],"event.":[61],"In":[62],"our":[63],"production":[64],"example,":[65],"have":[68],"two":[69,87],"sequences":[70],"states":[72],"asymptotically":[74],"lie":[75],"on":[76,85],"same":[78],"line,":[79],"yet":[80],"has":[82],"different":[83],"asymptotics":[84],"sequences.":[88]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
