{"id":"https://openalex.org/W4414288850","doi":"https://doi.org/10.1504/ijmor.2025.148623","title":"Analysis of <i>MAP</i>/<i>PH</i>/1 retrial inventory queueing system with phase type vacation and unreliable server","display_name":"Analysis of <i>MAP</i>/<i>PH</i>/1 retrial inventory queueing system with phase type vacation and unreliable server","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4414288850","doi":"https://doi.org/10.1504/ijmor.2025.148623"},"language":"en","primary_location":{"id":"doi:10.1504/ijmor.2025.148623","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijmor.2025.148623","pdf_url":null,"source":{"id":"https://openalex.org/S135796719","display_name":"International Journal of Mathematics in Operational Research","issn_l":"1757-5850","issn":["1757-5850","1757-5869"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics in Operational Research","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/A5112962615","display_name":"G. Ayyappan","orcid":"https://orcid.org/0000-0002-8650-1687"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G. Ayyappan","raw_affiliation_strings":["Department of Mathematics, Puducherry Technological University, Puducherry, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Puducherry Technological University, Puducherry, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012340152","display_name":"Sher Singh Meena","orcid":"https://orcid.org/0000-0003-4978-2528"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Meena","raw_affiliation_strings":["Department of Mathematics, Puducherry Technological University, Puducherry, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Puducherry Technological University, Puducherry, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112962615"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1093,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.90417057,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"32","issue":"1","first_page":"1","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.775600016117096,"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":0.775600016117096,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.6926000118255615,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.6240000128746033,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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":0.661300003528595},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.6115999817848206},{"id":"https://openalex.org/keywords/markovian-arrival-process","display_name":"Markovian arrival process","score":0.5899999737739563},{"id":"https://openalex.org/keywords/retrial-queue","display_name":"Retrial queue","score":0.5663999915122986},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5044999718666077},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.492900013923645},{"id":"https://openalex.org/keywords/phase-type-distribution","display_name":"Phase-type distribution","score":0.41679999232292175}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7594000101089478},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.661300003528595},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.6115999817848206},{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.5899999737739563},{"id":"https://openalex.org/C2779307879","wikidata":"https://www.wikidata.org/wiki/Q18394151","display_name":"Retrial queue","level":4,"score":0.5663999915122986},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5044999718666077},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.492900013923645},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4390999972820282},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.43140000104904175},{"id":"https://openalex.org/C120375044","wikidata":"https://www.wikidata.org/wiki/Q7180911","display_name":"Phase-type distribution","level":3,"score":0.41679999232292175},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3880000114440918},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3837999999523163},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.38359999656677246},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3506999909877777},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.34060001373291016},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.302700012922287},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1504/ijmor.2025.148623","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijmor.2025.148623","pdf_url":null,"source":{"id":"https://openalex.org/S135796719","display_name":"International Journal of Mathematics in Operational Research","issn_l":"1757-5850","issn":["1757-5850","1757-5869"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics in Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,105],"this":[1],"study,":[2],"a":[3,9,29,85,143],"retrial":[4,11],"queueing":[5],"inventory":[6,122],"system":[7],"with":[8],"fixed":[10],"rate,":[12],"single":[13],"vacation,":[14],"breakdown,":[15],"and":[16,33,53,95,124,135],"repair":[17,93],"is":[18,47,55,110,133],"investigated.":[19],"We":[20],"have":[21],"made":[22],"the":[23,35,51,58,77,92,96,99,103,106,114,119,121,125,128],"assumption":[24],"that":[25,34,57],"customers":[26,117],"arrive":[27],"through":[28],"Markovian":[30],"arrival":[31],"process":[32],"server":[36,67,86],"will":[37,61],"offer":[38],"phase-type":[39],"services":[40],"to":[41,49,112,149],"them.":[42],"The":[43,66,130],"(s,":[44],"S)":[45],"policy":[46],"used":[48],"replenish":[50],"inventory,":[52,81],"it":[54,89,109],"anticipated":[56],"replenishing":[59],"time":[60],"follow":[62],"an":[63],"exponential":[64],"distribution.":[65],"goes":[68],"on":[69],"vacation":[70],"if":[71],"there":[72],"are":[73,140,147],"no":[74],"consumers":[75],"in":[76,118],"orbit,":[78,120],"or":[79,82],"zero":[80],"both.":[83],"When":[84],"breaks":[87],"down,":[88],"quickly":[90],"starts":[91],"process,":[94],"customer":[97],"enters":[98],"infinite":[100],"size":[101],"of":[102,116,127],"orbit.":[104],"steady":[107],"state,":[108],"possible":[111],"determine":[113],"number":[115],"level,":[123],"status":[126],"servers.":[129],"cost":[131],"analysis":[132],"derived,":[134],"several":[136],"significant":[137],"performance":[138],"measurements":[139],"established.":[141],"Furthermore,":[142],"few":[144],"numerical":[145],"demonstrations":[146],"given":[148],"clarify":[150],"our":[151],"mathematical":[152],"model.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}