{"id":"https://openalex.org/W1979102339","doi":"https://doi.org/10.1007/bf01158809","title":"Stationary waiting time derivatives","display_name":"Stationary waiting time derivatives","publication_year":1992,"publication_date":"1992-09-01","ids":{"openalex":"https://openalex.org/W1979102339","doi":"https://doi.org/10.1007/bf01158809","mag":"1979102339"},"language":"en","primary_location":{"id":"doi:10.1007/bf01158809","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01158809","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/A5026619574","display_name":"Paul Glasserman","orcid":"https://orcid.org/0000-0002-9577-0205"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul Glasserman","raw_affiliation_strings":["Columbia Business School, New York, USA"],"affiliations":[{"raw_affiliation_string":"Columbia Business School, New York, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026619574"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.0092,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.84117951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"12","issue":"3-4","first_page":"369","last_page":"389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9886999726295471,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.70505690574646},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.6491584777832031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5883293151855469},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5734537839889526},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.5641549825668335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5543627738952637},{"id":"https://openalex.org/keywords/stationary-sequence","display_name":"Stationary sequence","score":0.49657732248306274},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.44534459710121155},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.4282633066177368},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41659197211265564},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32777589559555054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3206241726875305},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.2934284210205078},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18034204840660095},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.11318099498748779},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08483323454856873}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.70505690574646},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.6491584777832031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5883293151855469},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5734537839889526},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.5641549825668335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5543627738952637},{"id":"https://openalex.org/C18436578","wikidata":"https://www.wikidata.org/wiki/Q7604346","display_name":"Stationary sequence","level":3,"score":0.49657732248306274},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.44534459710121155},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.4282633066177368},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41659197211265564},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32777589559555054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3206241726875305},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2934284210205078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18034204840660095},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.11318099498748779},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08483323454856873},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01158809","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01158809","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":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W574571268","https://openalex.org/W1582213373","https://openalex.org/W1964975282","https://openalex.org/W1970339011","https://openalex.org/W1971095127","https://openalex.org/W1988098861","https://openalex.org/W2015198187","https://openalex.org/W2026965983","https://openalex.org/W2029120521","https://openalex.org/W2037674184","https://openalex.org/W2049459384","https://openalex.org/W2057426799","https://openalex.org/W2065524702","https://openalex.org/W2072080523","https://openalex.org/W2104726827","https://openalex.org/W2108617173","https://openalex.org/W2112955560","https://openalex.org/W2127255353","https://openalex.org/W2321167920","https://openalex.org/W2325492813","https://openalex.org/W2330529389","https://openalex.org/W2334302903","https://openalex.org/W2799931870","https://openalex.org/W4249667877","https://openalex.org/W4298337547","https://openalex.org/W4302375333","https://openalex.org/W4400544856"],"related_works":["https://openalex.org/W4247809524","https://openalex.org/W4387995152","https://openalex.org/W1967070738","https://openalex.org/W2023139344","https://openalex.org/W3040442494","https://openalex.org/W2033050283","https://openalex.org/W2951530716","https://openalex.org/W4298838548","https://openalex.org/W2124559882","https://openalex.org/W2322733106"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}