{"id":"https://openalex.org/W2952104249","doi":"https://doi.org/10.1017/s002190020000961x","title":"The Class of Distributions Associated with the Generalized Pollaczek-Khinchine Formula","display_name":"The Class of Distributions Associated with the Generalized Pollaczek-Khinchine Formula","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2952104249","doi":"https://doi.org/10.1017/s002190020000961x","mag":"2952104249"},"language":"en","primary_location":{"id":"doi:10.1017/s002190020000961x","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s002190020000961x","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","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/A5085238719","display_name":"Offer Kella","orcid":"https://orcid.org/0000-0002-6433-5470"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Offer Kella","raw_affiliation_strings":["The Hebrew University of Jerusalem"],"affiliations":[{"raw_affiliation_string":"The Hebrew University of Jerusalem","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085238719"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.51179852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"03","first_page":"883","last_page":"887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9922999739646912,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.987500011920929,"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/mathematics","display_name":"Mathematics","score":0.8815714120864868},{"id":"https://openalex.org/keywords/subordinator","display_name":"Subordinator","score":0.8637340068817139},{"id":"https://openalex.org/keywords/l\u00e9vy-process","display_name":"L\u00e9vy process","score":0.6157198548316956},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.5777133703231812},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5534093379974365},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.5274683833122253},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5238266587257385},{"id":"https://openalex.org/keywords/reflected-brownian-motion","display_name":"Reflected Brownian motion","score":0.504529595375061},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.49309608340263367},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.47162842750549316},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.4242691993713379},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4012819528579712},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3832952082157135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3487826883792877},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1876387596130371},{"id":"https://openalex.org/keywords/geometric-brownian-motion","display_name":"Geometric Brownian motion","score":0.16719487309455872},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.15818500518798828},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.1339709758758545}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8815714120864868},{"id":"https://openalex.org/C2781362121","wikidata":"https://www.wikidata.org/wiki/Q7631785","display_name":"Subordinator","level":3,"score":0.8637340068817139},{"id":"https://openalex.org/C88757350","wikidata":"https://www.wikidata.org/wiki/Q1557613","display_name":"L\u00e9vy process","level":2,"score":0.6157198548316956},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.5777133703231812},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5534093379974365},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.5274683833122253},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5238266587257385},{"id":"https://openalex.org/C116779161","wikidata":"https://www.wikidata.org/wiki/Q7307228","display_name":"Reflected Brownian motion","level":5,"score":0.504529595375061},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.49309608340263367},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.47162842750549316},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4242691993713379},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4012819528579712},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3832952082157135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3487826883792877},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1876387596130371},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.16719487309455872},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.15818500518798828},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.1339709758758545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s002190020000961x","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s002190020000961x","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G3319193263","display_name":null,"funder_award_id":"434/09","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W117435049","https://openalex.org/W2028348670","https://openalex.org/W2060077822","https://openalex.org/W2069782247","https://openalex.org/W2069796594","https://openalex.org/W2119098405","https://openalex.org/W2950225623","https://openalex.org/W2951245253","https://openalex.org/W3123785551","https://openalex.org/W4239473966","https://openalex.org/W4245595716","https://openalex.org/W4375841085"],"related_works":["https://openalex.org/W2950462082","https://openalex.org/W2728855978","https://openalex.org/W2441436191","https://openalex.org/W1965060699","https://openalex.org/W3123303197","https://openalex.org/W2962918342","https://openalex.org/W2982303555","https://openalex.org/W3144148756","https://openalex.org/W3107492181","https://openalex.org/W4302320413"],"abstract_inverted_index":{"The":[0],"goal":[1],"is":[2,41,50],"to":[3,9],"identify":[4],"the":[5,11,14,28,32,44,47,79,83,88,93,97],"class":[6],"of":[7,13,16,31,54,67,72,82,101],"distributions":[8],"which":[10],"distribution":[12,30,91,100],"maximum":[15],"a":[17,55,59,68,102],"L\u00e9vy":[18,48,63],"process":[19,49],"with":[20],"no":[21],"negative":[22,25],"jumps":[23],"and":[24,58,96],"mean":[26],"(equivalently,":[27],"stationary":[29,89,99],"reflected":[33,103],"process)":[34,64],"belongs.":[35],"An":[36],"explicit":[37],"new":[38],"distributional":[39,80],"identity":[40],"obtained":[42],"for":[43,87],"case":[45],"where":[46],"an":[51],"independent":[52,73],"sum":[53,71],"Brownian":[56,104],"motion":[57],"general":[60],"subordinator":[61],"(nondecreasing":[62],"in":[65,92],"terms":[66],"geometrically":[69],"distributed":[70],"random":[74],"variables.":[75],"This":[76],"generalizes":[77],"both":[78],"form":[81],"standard":[84],"Pollaczek-Khinchine":[85],"formula":[86],"workload":[90],"M/G/1":[94],"queue":[95],"exponential":[98],"motion.":[105]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}