{"id":"https://openalex.org/W2616667683","doi":"https://doi.org/10.1007/s10479-017-2529-9","title":"Functional law of the iterated logarithm for multi-server queues with batch arrivals and customer feedback","display_name":"Functional law of the iterated logarithm for multi-server queues with batch arrivals and customer feedback","publication_year":2017,"publication_date":"2017-05-19","ids":{"openalex":"https://openalex.org/W2616667683","doi":"https://doi.org/10.1007/s10479-017-2529-9","mag":"2616667683"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-017-2529-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-017-2529-9","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals 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/A5100648451","display_name":"Yongjiang Guo","orcid":"https://orcid.org/0000-0001-9427-5176"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjiang Guo","raw_affiliation_strings":["School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057611804","display_name":"Yunan Liu","orcid":"https://orcid.org/0000-0001-9961-2610"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yunan Liu","raw_affiliation_strings":["Industrial and Systems Engineering, North Carolina State University, Raleigh, NC, 27607, USA"],"affiliations":[{"raw_affiliation_string":"Industrial and Systems Engineering, North Carolina State University, Raleigh, NC, 27607, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032288943","display_name":"Renhu Pei","orcid":null},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Renhu Pei","raw_affiliation_strings":["School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057611804"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5582,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85346578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"264","issue":"1-2","first_page":"157","last_page":"191"},"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/T11720","display_name":"Probability and Risk Models","score":0.9865999817848206,"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"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9785000085830688,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/law-of-the-iterated-logarithm","display_name":"Law of the iterated logarithm","score":0.9309448599815369},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.8329293727874756},{"id":"https://openalex.org/keywords/iterated-logarithm","display_name":"Iterated logarithm","score":0.6999927759170532},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6577142477035522},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6342785358428955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5074858069419861},{"id":"https://openalex.org/keywords/workload","display_name":"Workload","score":0.5034200549125671},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4538525342941284},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.44585609436035156},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38477420806884766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36251774430274963},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32756662368774414},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.14942878484725952},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.10187113285064697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09652608633041382}],"concepts":[{"id":"https://openalex.org/C139907963","wikidata":"https://www.wikidata.org/wiki/Q198740","display_name":"Law of the iterated logarithm","level":3,"score":0.9309448599815369},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.8329293727874756},{"id":"https://openalex.org/C130594498","wikidata":"https://www.wikidata.org/wiki/Q2028293","display_name":"Iterated logarithm","level":3,"score":0.6999927759170532},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6577142477035522},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6342785358428955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5074858069419861},{"id":"https://openalex.org/C2778476105","wikidata":"https://www.wikidata.org/wiki/Q628539","display_name":"Workload","level":2,"score":0.5034200549125671},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4538525342941284},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.44585609436035156},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38477420806884766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36251774430274963},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32756662368774414},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.14942878484725952},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.10187113285064697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09652608633041382}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-017-2529-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-017-2529-9","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:264:y:2018:i:1:d:10.1007_s10479-017-2529-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-017-2529-9","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":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320307758","display_name":"Eli Lilly and Company","ror":"https://ror.org/01qat3289"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W146016062","https://openalex.org/W418289706","https://openalex.org/W1481778483","https://openalex.org/W1485309202","https://openalex.org/W1487626875","https://openalex.org/W1509727679","https://openalex.org/W1519208961","https://openalex.org/W1548519453","https://openalex.org/W1557758852","https://openalex.org/W1574885155","https://openalex.org/W1968968697","https://openalex.org/W1973403707","https://openalex.org/W1989473805","https://openalex.org/W1994769971","https://openalex.org/W2011819105","https://openalex.org/W2013117359","https://openalex.org/W2019160910","https://openalex.org/W2024334160","https://openalex.org/W2030453194","https://openalex.org/W2040285880","https://openalex.org/W2042373582","https://openalex.org/W2055491565","https://openalex.org/W2056797096","https://openalex.org/W2065429580","https://openalex.org/W2068171432","https://openalex.org/W2068769043","https://openalex.org/W2080417954","https://openalex.org/W2124905522","https://openalex.org/W2126794261","https://openalex.org/W2128918158","https://openalex.org/W2131802419","https://openalex.org/W2133715651","https://openalex.org/W2134777182","https://openalex.org/W2144005446","https://openalex.org/W2145420589","https://openalex.org/W2162884168","https://openalex.org/W2163516019","https://openalex.org/W2314721156","https://openalex.org/W2315252580","https://openalex.org/W2321167920","https://openalex.org/W2330529389","https://openalex.org/W2334092078","https://openalex.org/W2334541966","https://openalex.org/W2512816866","https://openalex.org/W4213329537","https://openalex.org/W4252302949"],"related_works":["https://openalex.org/W2133651850","https://openalex.org/W2056303004","https://openalex.org/W1988279115","https://openalex.org/W2121756884","https://openalex.org/W4229773585","https://openalex.org/W2000833504","https://openalex.org/W2075798240","https://openalex.org/W2013117359","https://openalex.org/W3175621756","https://openalex.org/W3135482202"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}