{"id":"https://openalex.org/W2000543002","doi":"https://doi.org/10.1063/1.4912507","title":"On joint stationary distribution in exponential multiserver reordering queue","display_name":"On joint stationary distribution in exponential multiserver reordering queue","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2000543002","doi":"https://doi.org/10.1063/1.4912507","mag":"2000543002"},"language":"en","primary_location":{"id":"doi:10.1063/1.4912507","doi":"https://doi.org/10.1063/1.4912507","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.4912507","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5110008431","display_name":"Alexander V. Pechinkin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210092286","display_name":"Institute of Informatics Problems","ror":"https://ror.org/00n8bqs64","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210092286"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander V. Pechinkin","raw_affiliation_strings":["Institute of Informatics Problems, Russian Academy of Sciences, Vavilova str., 44/2, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics Problems, Russian Academy of Sciences, Vavilova str., 44/2, Moscow, Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210092286"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070098046","display_name":"Rostislav Razumchik","orcid":"https://orcid.org/0000-0002-4092-5396","observed_orcids":["https://orcid.org/0000-0002-4092-5396"]},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210092286","display_name":"Institute of Informatics Problems","ror":"https://ror.org/00n8bqs64","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210092286"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Rostislav R. Razumchik","raw_affiliation_strings":["Faculty of Physics and Mathematics, Peoples\u2019 Friendship University, Moscow, Russia","Institute of Informatics Problems, Russian Academy of Sciences, Vavilova str., 44/2, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Physics and Mathematics, Peoples\u2019 Friendship University, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Institute of Informatics Problems, Russian Academy of Sciences, Vavilova str., 44/2, Moscow, Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210092286"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012410398","display_name":"Ilaria Caraccio","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ilaria Caraccio","raw_affiliation_strings":["University of Salerno, Fisciano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012410398"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":null,"apc_paid":null,"fwci":0.6378,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66188119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"1648","issue":null,"first_page":"250003","last_page":"250003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":1.0,"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/T13553","display_name":"Age of Information Optimization","score":0.0,"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/T13500","display_name":"Probability and Statistical Research","score":0.0,"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/multi-server-queues","display_name":"multi-server queues","score":0.7570000290870667},{"id":"https://openalex.org/keywords/m-m-n-queue","display_name":"M/M/n queue","score":0.9330000281333923},{"id":"https://openalex.org/keywords/resequencing","display_name":"resequencing","score":0.828000009059906},{"id":"https://openalex.org/keywords/equilibrium-equations","display_name":"equilibrium equations","score":0.9010000228881836},{"id":"https://openalex.org/keywords/recursive-computation","display_name":"recursive computation","score":0.7210000157356262},{"id":"https://openalex.org/keywords/queue-length","display_name":"queue length","score":0.4259999990463257}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6923022270202637},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6557374000549316},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.6434719562530518},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.6321429014205933},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.627894401550293},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6059791445732117},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.6038364768028259},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5701936483383179},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.5363024473190308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5166828632354736},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4951418936252594},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4706674814224243},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.4522089660167694},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.43192487955093384},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.4263540208339691},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32884716987609863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27048683166503906},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.17568331956863403},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13144341111183167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09900882840156555},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.07633912563323975},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06847900152206421},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/1.4912507","doi":"https://doi.org/10.1063/1.4912507","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.4912507","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4242911052","https://openalex.org/W2742883471","https://openalex.org/W4246594205","https://openalex.org/W2408511857","https://openalex.org/W3009842412","https://openalex.org/W1996796415","https://openalex.org/W367286888","https://openalex.org/W2027167279","https://openalex.org/W4200040497","https://openalex.org/W2554138109"],"abstract_inverted_index":{"Resequencing":[0],"is":[1,33,37,74],"a":[2],"common":[3],"issue":[4],"in":[5,52,59,76],"information":[6],"systems":[7],"where":[8],"the":[9,40,47,77],"order":[10],"of":[11,30,42,46,50,57,70,82],"jobs":[12],"upon":[13,19],"arrival":[14],"has":[15],"to":[16,39],"be":[17],"preserved":[18],"departure.":[20],"In":[21],"this":[22],"paper":[23,78],"M/M/n/\u221e":[24],"queueing":[25],"system":[26,69],"with":[27],"reordering":[28,60],"buffer":[29],"infinite":[31],"capacity":[32],"being":[34],"considered.":[35],"Focus":[36],"given":[38],"study":[41],"joint":[43,83],"stationary":[44,84],"distribution":[45],"total":[48,55],"number":[49,56],"customers":[51,58],"queue":[53],"and":[54],"buffer.":[61],"Using":[62],"developed":[63],"analytical":[64],"method":[65],"there":[66],"was":[67],"obtained":[68,89],"equilibrium":[71],"equations":[72],"which":[73],"presented":[75],"allows":[79],"recursive":[80],"computation":[81],"probabilities.":[85],"Numerical":[86],"examples":[87],"illustrating":[88],"results":[90],"are":[91],"given.":[92]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}