{"id":"https://openalex.org/W4416902885","doi":"https://doi.org/10.1017/jpr.2025.10046","title":"Stochastic Volterra integral equations with ranks as scaling limits of parallel infinite-server queues under weighted shortest queue policy","display_name":"Stochastic Volterra integral equations with ranks as scaling limits of parallel infinite-server queues under weighted shortest queue policy","publication_year":2025,"publication_date":"2025-12-02","ids":{"openalex":"https://openalex.org/W4416902885","doi":"https://doi.org/10.1017/jpr.2025.10046"},"language":"en","primary_location":{"id":"doi:10.1017/jpr.2025.10046","is_oa":true,"landing_page_url":"https://doi.org/10.1017/jpr.2025.10046","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F5A971D73928F193FE727A517CA20502/S0021900225100466a.pdf/div-class-title-stochastic-volterra-integral-equations-with-ranks-as-scaling-limits-of-parallel-infinite-server-queues-under-weighted-shortest-queue-policy-div.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F5A971D73928F193FE727A517CA20502/S0021900225100466a.pdf/div-class-title-stochastic-volterra-integral-equations-with-ranks-as-scaling-limits-of-parallel-infinite-server-queues-under-weighted-shortest-queue-policy-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029271948","display_name":"Tomoyuki Ichiba","orcid":"https://orcid.org/0000-0003-2787-7569"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tomoyuki Ichiba","raw_affiliation_strings":["University of California","University of California, Santa Barbara"],"raw_orcid":"https://orcid.org/0000-0003-2787-7569","affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]},{"raw_affiliation_string":"University of California, Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064855799","display_name":"Guodong Pang","orcid":"https://orcid.org/0000-0001-6468-0429"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guodong Pang","raw_affiliation_strings":["Rice University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rice University","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029271948","https://openalex.org/A5064855799"],"corresponding_institution_ids":["https://openalex.org/I154570441","https://openalex.org/I2803209242","https://openalex.org/I74775410"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.50476066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"2","first_page":"690","last_page":"706"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.991599977016449,"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":0.991599977016449,"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":0.0007999999797903001,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5867000222206116},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5475000143051147},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.5394999980926514},{"id":"https://openalex.org/keywords/bulk-queue","display_name":"Bulk queue","score":0.4903999865055084},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4713999927043915},{"id":"https://openalex.org/keywords/markovian-arrival-process","display_name":"Markovian arrival process","score":0.4325000047683716},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.3772999942302704},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.3732999861240387},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.36079999804496765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6261000037193298},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5867000222206116},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5475000143051147},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.5394999980926514},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5019000172615051},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.4903999865055084},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4713999927043915},{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.4325000047683716},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3772999942302704},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3732999861240387},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.36079999804496765},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3467000126838684},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.33009999990463257},{"id":"https://openalex.org/C66295387","wikidata":"https://www.wikidata.org/wiki/Q4998912","display_name":"Burke's theorem","level":5,"score":0.3264000117778778},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.32359999418258667},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C129978463","wikidata":"https://www.wikidata.org/wiki/Q6803663","display_name":"Mean value analysis","level":4,"score":0.3203999996185303},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.3190000057220459},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.28610000014305115},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.2849999964237213},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.2849000096321106},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C128220111","wikidata":"https://www.wikidata.org/wiki/Q4531011","display_name":"Queue management system","level":3,"score":0.2587999999523163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/jpr.2025.10046","is_oa":true,"landing_page_url":"https://doi.org/10.1017/jpr.2025.10046","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F5A971D73928F193FE727A517CA20502/S0021900225100466a.pdf/div-class-title-stochastic-volterra-integral-equations-with-ranks-as-scaling-limits-of-parallel-infinite-server-queues-under-weighted-shortest-queue-policy-div.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/jpr.2025.10046","is_oa":true,"landing_page_url":"https://doi.org/10.1017/jpr.2025.10046","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F5A971D73928F193FE727A517CA20502/S0021900225100466a.pdf/div-class-title-stochastic-volterra-integral-equations-with-ranks-as-scaling-limits-of-parallel-infinite-server-queues-under-weighted-shortest-queue-policy-div.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3558230965","display_name":"Collaborative Research: Infinite horizon risk-sensitive control of diffusions with applications in stochastic networks","funder_award_id":"2108683","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3764418371","display_name":"Collaborative Research: Infinite horizon risk-sensitive control of diffusions with applications in stochastic networks","funder_award_id":"2216765","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G797242952","display_name":"Large-Scale Interactions in Financial Markets","funder_award_id":"2008427","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416902885.pdf","grobid_xml":"https://content.openalex.org/works/W4416902885.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1514537332","https://openalex.org/W1522968001","https://openalex.org/W1629501955","https://openalex.org/W1964611177","https://openalex.org/W1974223154","https://openalex.org/W1992209353","https://openalex.org/W2011611541","https://openalex.org/W2011786610","https://openalex.org/W2015899923","https://openalex.org/W2019303178","https://openalex.org/W2021040499","https://openalex.org/W2022770888","https://openalex.org/W2098347622","https://openalex.org/W2102299422","https://openalex.org/W2104882094","https://openalex.org/W2113575907","https://openalex.org/W2137147384","https://openalex.org/W2141985202","https://openalex.org/W2802739963","https://openalex.org/W2808103092","https://openalex.org/W2980518151","https://openalex.org/W3200751939","https://openalex.org/W4252302949","https://openalex.org/W4301668100"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,44],"study":[2],"a":[3,7,19,39,101,110,121],"queueing":[4,97],"system":[5],"with":[6,48,106,120],"fixed":[8],"number":[9],"of":[10,14,33,64,73],"parallel":[11],"service":[12,35,54],"stations":[13,36],"infinite":[15],"servers,":[16],"each":[17],"having":[18],"dedicated":[20,60],"arrival":[21,26,50,61,70],"process,":[22],"and":[23,52,67],"one":[24,32],"flexible":[25,69],"stream":[27],"that":[28,58,94],"is":[29,72],"routed":[30],"to":[31,38,100,116],"the":[34,46,59,68,95,117,125],"according":[37],"\u2018weighted\u2019":[40],"shortest":[41],"queue":[42],"policy.":[43],"consider":[45],"model":[47],"general":[49,53],"processes":[51,98],"time":[55],"distributions.":[56],"Assuming":[57],"rates":[62],"are":[63],"order":[65,74],"n":[66,76],"rate":[71],"StartRoot":[75],"EndRoot":[77],"<mml:math":[78],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"":[79],"xmlns:mnf=\"http://cambridge.org/core/manifest\"":[80],"xmlns:cup=\"http://contentservices.cambridge.org\"":[81],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[82],"xmlns:m=\"http://cambridge.org/core/metadata\"":[83],"xmlns:core=\"http://cambridge.org/core\"":[84],"xmlns:c=\"http://cambridge.org/core/content\">":[85],"<mml:msqrt>":[86],"<mml:mi>n</mml:mi>":[87],"</mml:msqrt>":[88],"</mml:math>":[89],"$\\sqrt{n}$":[90],",":[91],"we":[92],"show":[93],"diffusion-scaled":[96],"converge":[99],"stochastic":[102],"Volterra":[103],"integral":[104],"equation":[105],"\u2018ranks\u2019":[107],"driven":[108],"by":[109],"continuous":[111],"Gaussian":[112],"process.":[113],"It":[114],"reduces":[115],"limiting":[118],"diffusion":[119],"discontinuous":[122],"drift":[123],"in":[124],"Markovian":[126],"setting.":[127]},"counts_by_year":[],"updated_date":"2026-06-25T06:16:34.145877","created_date":"2025-12-02T00:00:00"}