{"id":"https://openalex.org/W2088603202","doi":"https://doi.org/10.1007/bf02412241","title":"A numerically stable algorithm for two server queue models","display_name":"A numerically stable algorithm for two server queue models","publication_year":1991,"publication_date":"1991-12-01","ids":{"openalex":"https://openalex.org/W2088603202","doi":"https://doi.org/10.1007/bf02412241","mag":"2088603202"},"language":"en","primary_location":{"id":"doi:10.1007/bf02412241","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02412241","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","0340-4384","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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025154473","display_name":"Yiqiang Q. Zhao","orcid":"https://orcid.org/0000-0002-7530-8064"},"institutions":[{"id":"https://openalex.org/I32625721","display_name":"University of Saskatchewan","ror":"https://ror.org/010x8gc63","country_code":"CA","type":"education","lineage":["https://openalex.org/I32625721"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yiqiang Zhao","raw_affiliation_strings":["Department of Mathematics, University of Saskatchewan, S7N 0W0, Canada","Department of Mathematics, University of Saskatchewan, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Saskatchewan, S7N 0W0, Canada","institution_ids":["https://openalex.org/I32625721"]},{"raw_affiliation_string":"Department of Mathematics, University of Saskatchewan, Canada","institution_ids":["https://openalex.org/I32625721"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025740421","display_name":"Winfried K. Grassmann","orcid":"https://orcid.org/0000-0002-1446-4020"},"institutions":[{"id":"https://openalex.org/I32625721","display_name":"University of Saskatchewan","ror":"https://ror.org/010x8gc63","country_code":"CA","type":"education","lineage":["https://openalex.org/I32625721"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Winfried K. Grassmann","raw_affiliation_strings":["Department of Computational Science, University of Saskatchewan, S7N 0W0, Canada","Department of Computational Science, University of Saskatchewan, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Science, University of Saskatchewan, S7N 0W0, Canada","institution_ids":["https://openalex.org/I32625721"]},{"raw_affiliation_string":"Department of Computational Science, University of Saskatchewan, Canada","institution_ids":["https://openalex.org/I32625721"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I32625721"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.8167,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86472393,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":"1","first_page":"59","last_page":"79"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9972000122070312,"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":0.9972000122070312,"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":0.9908999800682068,"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"}},{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computer-science","display_name":"Computer science","score":0.661277174949646},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6580508351325989},{"id":"https://openalex.org/keywords/bulk-queue","display_name":"Bulk queue","score":0.5877894163131714},{"id":"https://openalex.org/keywords/fork\u2013join-queue","display_name":"Fork\u2013join queue","score":0.5422720313072205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5025246143341064},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.4973025619983673},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.47756677865982056},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.46600231528282166},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.444256067276001},{"id":"https://openalex.org/keywords/multilevel-queue","display_name":"Multilevel queue","score":0.43949031829833984},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4229772984981537},{"id":"https://openalex.org/keywords/queue-management-system","display_name":"Queue management system","score":0.40103843808174133},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.33144405484199524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3066967725753784},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.17599207162857056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07385441660881042}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.661277174949646},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6580508351325989},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.5877894163131714},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.5422720313072205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5025246143341064},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.4973025619983673},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.47756677865982056},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.46600231528282166},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.444256067276001},{"id":"https://openalex.org/C201511382","wikidata":"https://www.wikidata.org/wiki/Q16801758","display_name":"Multilevel queue","level":4,"score":0.43949031829833984},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4229772984981537},{"id":"https://openalex.org/C128220111","wikidata":"https://www.wikidata.org/wiki/Q4531011","display_name":"Queue management system","level":3,"score":0.40103843808174133},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.33144405484199524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3066967725753784},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.17599207162857056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07385441660881042}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02412241","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02412241","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","0340-4384","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1968661925","https://openalex.org/W1973417355","https://openalex.org/W2011512334","https://openalex.org/W2018165881","https://openalex.org/W2045106481","https://openalex.org/W2057194764","https://openalex.org/W2066826005","https://openalex.org/W2067308266","https://openalex.org/W2087643035","https://openalex.org/W2155733400","https://openalex.org/W2206914911","https://openalex.org/W2316819262","https://openalex.org/W2610166414","https://openalex.org/W4233239359"],"related_works":["https://openalex.org/W96460855","https://openalex.org/W2059446970","https://openalex.org/W4300438033","https://openalex.org/W2333827768","https://openalex.org/W113677060","https://openalex.org/W2341236534","https://openalex.org/W2950944556","https://openalex.org/W4230389552","https://openalex.org/W2332755690","https://openalex.org/W1985564669"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
