{"id":"https://openalex.org/W2764314492","doi":"https://doi.org/10.1007/s00186-017-0612-2","title":"An M/PH/K queue with constant impatient time","display_name":"An M/PH/K queue with constant impatient time","publication_year":2017,"publication_date":"2017-10-05","ids":{"openalex":"https://openalex.org/W2764314492","doi":"https://doi.org/10.1007/s00186-017-0612-2","mag":"2764314492"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-017-0612-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-017-0612-2","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/A5026658701","display_name":"Qi\u2010Ming He","orcid":"https://orcid.org/0000-0003-2381-3242"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Qi-Ming He","raw_affiliation_strings":["Department of Management Sciences, University of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada"],"raw_orcid":"https://orcid.org/0000-0003-2381-3242","affiliations":[{"raw_affiliation_string":"Department of Management Sciences, University of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074485816","display_name":"Hao Zhang","orcid":"https://orcid.org/0000-0002-6798-066X"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Zhang","raw_affiliation_strings":["Department of Management Engineering, Wuhan University, Wuhan, 430072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Engineering, Wuhan University, Wuhan, 430072, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001652101","display_name":"Qingqing Ye","orcid":"https://orcid.org/0000-0003-1547-2847"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingqing Ye","raw_affiliation_strings":["Department of Statistics and Financial Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Financial Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026658701"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.9493,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88165274,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"87","issue":"1","first_page":"139","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9728000164031982,"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/T11720","display_name":"Probability and Risk Models","score":0.9670000076293945,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.634167492389679},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.6218587160110474},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6171147227287292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.60895836353302},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.5949165225028992},{"id":"https://openalex.org/keywords/burkes-theorem","display_name":"Burke's theorem","score":0.5431548357009888},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4959810674190521},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.4655269980430603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4299890995025635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3768687844276428},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37294936180114746},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3457448482513428},{"id":"https://openalex.org/keywords/queue-management-system","display_name":"Queue management system","score":0.27185386419296265},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1765797734260559},{"id":"https://openalex.org/keywords/fork\u2013join-queue","display_name":"Fork\u2013join queue","score":0.10488224029541016}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.634167492389679},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.6218587160110474},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6171147227287292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.60895836353302},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.5949165225028992},{"id":"https://openalex.org/C66295387","wikidata":"https://www.wikidata.org/wiki/Q4998912","display_name":"Burke's theorem","level":5,"score":0.5431548357009888},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4959810674190521},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.4655269980430603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4299890995025635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3768687844276428},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37294936180114746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3457448482513428},{"id":"https://openalex.org/C128220111","wikidata":"https://www.wikidata.org/wiki/Q4531011","display_name":"Queue management system","level":3,"score":0.27185386419296265},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1765797734260559},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.10488224029541016},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00186-017-0612-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-017-0612-2","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:mathme:v:87:y:2018:i:1:d:10.1007_s00186-017-0612-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00186-017-0612-2","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":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3073942093","display_name":null,"funder_award_id":"RGPIN-203546-2012","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W633278723","https://openalex.org/W1423414132","https://openalex.org/W1483741998","https://openalex.org/W1494635895","https://openalex.org/W1592514827","https://openalex.org/W1877303889","https://openalex.org/W1903983908","https://openalex.org/W1972241270","https://openalex.org/W1985578743","https://openalex.org/W1995245183","https://openalex.org/W2001942143","https://openalex.org/W2003693652","https://openalex.org/W2021378388","https://openalex.org/W2027973721","https://openalex.org/W2029689645","https://openalex.org/W2035159482","https://openalex.org/W2036645045","https://openalex.org/W2039809384","https://openalex.org/W2041997799","https://openalex.org/W2048979056","https://openalex.org/W2062573385","https://openalex.org/W2064180984","https://openalex.org/W2074096585","https://openalex.org/W2076939426","https://openalex.org/W2077651719","https://openalex.org/W2084487946","https://openalex.org/W2092026241","https://openalex.org/W2106154968","https://openalex.org/W2110041740","https://openalex.org/W2114957868","https://openalex.org/W2130328627","https://openalex.org/W2166895135","https://openalex.org/W2326101096","https://openalex.org/W2329616260","https://openalex.org/W2331476099","https://openalex.org/W2476591540","https://openalex.org/W3102249832","https://openalex.org/W4233792232","https://openalex.org/W4234982737","https://openalex.org/W4235196307","https://openalex.org/W4235881212","https://openalex.org/W4247361641"],"related_works":["https://openalex.org/W2787272471","https://openalex.org/W2080475451","https://openalex.org/W2128313599","https://openalex.org/W4321458938","https://openalex.org/W4250931119","https://openalex.org/W2050100272","https://openalex.org/W1976664013","https://openalex.org/W368018341","https://openalex.org/W3213637399","https://openalex.org/W4230389552"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}