{"id":"https://openalex.org/W4236879478","doi":"https://doi.org/10.1017/s0021900200013085","title":"On the Generalized Drift Skorokhod Problem in One Dimension","display_name":"On the Generalized Drift Skorokhod Problem in One Dimension","publication_year":2013,"publication_date":"2013-03-01","ids":{"openalex":"https://openalex.org/W4236879478","doi":"https://doi.org/10.1017/s0021900200013085"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200013085","is_oa":false,"landing_page_url":"http://doi.org/10.1017/s0021900200013085","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/A5071890585","display_name":"Josh Reed","orcid":"https://orcid.org/0000-0003-3929-8353"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Josh Reed","raw_affiliation_strings":["Stern School of Business, New York University, New York, New York 10012","Marshall School of Business, University of Southern California, Los Angeles, CA 90089-0809"],"affiliations":[{"raw_affiliation_string":"Stern School of Business, New York University, New York, New York 10012","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"Marshall School of Business, University of Southern California, Los Angeles, CA 90089-0809","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045807357","display_name":"Amy R. Ward","orcid":"https://orcid.org/0000-0003-2744-2960"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amy Ward","raw_affiliation_strings":["Marshall School of Business, University of Southern California, Los Angeles, CA 90089-0809","Stern School of Business, New York University, New York, New York 10012"],"affiliations":[{"raw_affiliation_string":"Marshall School of Business, University of Southern California, Los Angeles, CA 90089-0809","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Stern School of Business, New York University, New York, New York 10012","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054433123","display_name":"Dongyuan Zhan","orcid":null},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dongyuan Zhan","raw_affiliation_strings":["Stern School of Business, New York University, New York, New York 10012","Marshall School of Business, University of Southern California, Los Angeles, CA 90089-0809"],"affiliations":[{"raw_affiliation_string":"Stern School of Business, New York University, New York, New York 10012","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"Marshall School of Business, University of Southern California, Los Angeles, CA 90089-0809","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071890585"],"corresponding_institution_ids":["https://openalex.org/I1174212","https://openalex.org/I57206974"],"apc_list":null,"apc_paid":null,"fwci":0.5263,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78750457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"50","issue":"01","first_page":"16","last_page":"28"},"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12146","display_name":"Power Line Communications and Noise","score":0.9800000190734863,"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/mathematics","display_name":"Mathematics","score":0.9095629453659058},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.7679083347320557},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5895866751670837},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5755574703216553},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5447893142700195},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5248404145240784},{"id":"https://openalex.org/keywords/hitting-time","display_name":"Hitting time","score":0.46342456340789795},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4388566017150879},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32401520013809204},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2944885492324829}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9095629453659058},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.7679083347320557},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5895866751670837},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5755574703216553},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5447893142700195},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5248404145240784},{"id":"https://openalex.org/C199277547","wikidata":"https://www.wikidata.org/wiki/Q5872687","display_name":"Hitting time","level":2,"score":0.46342456340789795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4388566017150879},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32401520013809204},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2944885492324829},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0021900200013085","is_oa":false,"landing_page_url":"http://doi.org/10.1017/s0021900200013085","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1593035888","https://openalex.org/W1655172732","https://openalex.org/W1872689069","https://openalex.org/W1965848287","https://openalex.org/W1976267292","https://openalex.org/W2003612928","https://openalex.org/W2018158804","https://openalex.org/W2041459929","https://openalex.org/W2048375498","https://openalex.org/W2049714758","https://openalex.org/W2061825652","https://openalex.org/W2063664948","https://openalex.org/W2085105035","https://openalex.org/W2158932645","https://openalex.org/W2167921835","https://openalex.org/W2503537357","https://openalex.org/W3105663536"],"related_works":["https://openalex.org/W2953175190","https://openalex.org/W4288318511","https://openalex.org/W2257286100","https://openalex.org/W2784344684","https://openalex.org/W2562705109","https://openalex.org/W2099602951","https://openalex.org/W2098184873","https://openalex.org/W4283118620","https://openalex.org/W2012159417","https://openalex.org/W3033742928"],"abstract_inverted_index":{"We":[0],"show":[1],"how":[2],"to":[3,7,54,73],"write":[4],"the":[5,8,18,21,45,55,75,79,89],"solution":[6,22],"generalized":[9],"drift":[10],"Skorokhod":[11],"problem":[12],"in":[13,15,84,95],"one-dimension":[14],"terms":[16],"of":[17,20,23,40,48,60,78],"supremum":[19],"a":[24,49,96],"tractable":[25],"unrestricted":[26],"integral":[27,32],"equation":[28,33],"(that":[29,64],"is,":[30],"an":[31,38,61],"with":[34],"no":[35],"boundaries).":[36],"As":[37],"application":[39],"our":[41],"result,":[42],"we":[43,69],"equate":[44],"transient":[46,76],"distribution":[47,59,77],"reflected":[50],"Ornstein\u2013Uhlenbeck":[51],"(OU)":[52],"process":[53,63],"first":[56],"hitting":[57],"time":[58],"OU":[62],"is":[65],"not":[66],"reflected).":[67],"Then,":[68],"use":[70],"this":[71],"relationship":[72],"approximate":[74],"GI/GI/1":[80],"+":[81],"GI":[82],"queue":[83,94],"conventional":[85],"heavy":[86,98],"traffic":[87,99],"and":[88],"M/M/":[90],"N":[91,93],"/":[92],"many-server":[97],"regime.":[100]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}