{"id":"https://openalex.org/W2026053382","doi":"https://doi.org/10.1007/bf01150047","title":"The service system M/M R /? with impatient customers","display_name":"The service system M/M R /? with impatient customers","publication_year":1987,"publication_date":"1987-12-01","ids":{"openalex":"https://openalex.org/W2026053382","doi":"https://doi.org/10.1007/bf01150047","mag":"2026053382"},"language":"en","primary_location":{"id":"doi:10.1007/bf01150047","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01150047","pdf_url":null,"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":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/A5100349500","display_name":"Lei Liu","orcid":"https://orcid.org/0000-0001-8850-5553"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"L. Liu","raw_affiliation_strings":["Department of Industrial Engineering, University of Toronto, M5S 1A4, Toronto, Ont., Canada","Department of Industrial Engineering , University of Toronto , Toronto, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Toronto, M5S 1A4, Toronto, Ont., Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Department of Industrial Engineering , University of Toronto , Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078646740","display_name":"B. R. K. Kashyap","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. R. K. Kashyap","raw_affiliation_strings":["Department of Industrial Engineering, University of Toronto, M5S 1A4, Toronto, Ont., Canada","Department of Industrial Engineering , University of Toronto , Toronto, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Toronto, M5S 1A4, Toronto, Ont., Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Department of Industrial Engineering , University of Toronto , Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051687188","display_name":"J. G. C. Templeton","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. G. C. Templeton","raw_affiliation_strings":["Department of Industrial Engineering, University of Toronto, M5S 1A4, Toronto, Ont., Canada","Department of Industrial Engineering , University of Toronto , Toronto, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Toronto, M5S 1A4, Toronto, Ont., Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Department of Industrial Engineering , University of Toronto , Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100349500"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.20218373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2","issue":"4","first_page":"363","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9983000159263611,"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":0.9983000159263611,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9125000238418579,"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":0.7374415397644043},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.6690315008163452},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.6681572794914246},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5288518667221069},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.48219814896583557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4699160158634186},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4291726052761078},{"id":"https://openalex.org/keywords/service-system","display_name":"Service system","score":0.4121837615966797},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.35823577642440796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34965765476226807},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.3285452127456665},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3023245334625244},{"id":"https://openalex.org/keywords/marketing","display_name":"Marketing","score":0.12674978375434875},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.10021752119064331},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06967127323150635}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.7374415397644043},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.6690315008163452},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.6681572794914246},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5288518667221069},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.48219814896583557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4699160158634186},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4291726052761078},{"id":"https://openalex.org/C15587899","wikidata":"https://www.wikidata.org/wiki/Q7455812","display_name":"Service system","level":3,"score":0.4121837615966797},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.35823577642440796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34965765476226807},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.3285452127456665},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3023245334625244},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.12674978375434875},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.10021752119064331},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06967127323150635},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01150047","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01150047","pdf_url":null,"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":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":4,"referenced_works":["https://openalex.org/W1993104506","https://openalex.org/W2022618440","https://openalex.org/W2334369124","https://openalex.org/W4254338057"],"related_works":["https://openalex.org/W2106512568","https://openalex.org/W2159465694","https://openalex.org/W2077550944","https://openalex.org/W2030822348","https://openalex.org/W2890578400","https://openalex.org/W2896281715","https://openalex.org/W1964722880","https://openalex.org/W2909452000","https://openalex.org/W2019257762","https://openalex.org/W2750849650"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
