{"id":"https://openalex.org/W3134734782","doi":"https://doi.org/10.37190/ord200401","title":"Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy","display_name":"Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3134734782","doi":"https://doi.org/10.37190/ord200401","mag":"3134734782"},"language":"en","primary_location":{"id":"doi:10.37190/ord200401","is_oa":true,"landing_page_url":"https://doi.org/10.37190/ord200401","pdf_url":null,"source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research and Decisions","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37190/ord200401","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089127151","display_name":"Amina Angelika Bouchentouf","orcid":"https://orcid.org/0000-0001-8972-4221"},"institutions":[{"id":"https://openalex.org/I4210125514","display_name":"Universit\u00e9 Djilali de Sidi Bel Abb\u00e8s","ror":"https://ror.org/0378szg41","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210125514"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Amina Angelika Bouchentouf","raw_affiliation_strings":["Djillali Liabes University of Sidi Bel Abbes, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Djillali Liabes University of Sidi Bel Abbes, Algeria","institution_ids":["https://openalex.org/I4210125514"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060782117","display_name":"Lahcene Yahiaoui","orcid":"https://orcid.org/0000-0001-6573-672X"},"institutions":[{"id":"https://openalex.org/I4210148060","display_name":"Universit\u00e9 de Saida Dr Moulay Tahar","ror":"https://ror.org/03mwqca46","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210148060"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Lahcene Yahiaoui","raw_affiliation_strings":["The University Moulay Tahar of Saida, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University Moulay Tahar of Saida, Algeria","institution_ids":["https://openalex.org/I4210148060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057026570","display_name":"Mokhtar Kadi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148060","display_name":"Universit\u00e9 de Saida Dr Moulay Tahar","ror":"https://ror.org/03mwqca46","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210148060"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mokhtar Kadi","raw_affiliation_strings":["The University Moulay Tahar of Saida, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University Moulay Tahar of Saida, Algeria","institution_ids":["https://openalex.org/I4210148060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072724672","display_name":"Shakir Majid","orcid":"https://orcid.org/0000-0002-4140-8753"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shakir Majid","raw_affiliation_strings":["Government Degree College Mendhar, Poonch, Jammu and Kashmir, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Government Degree College Mendhar, Poonch, Jammu and Kashmir, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6988,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77022917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9908999800682068,"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":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.7883670330047607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7021464705467224},{"id":"https://openalex.org/keywords/probability-generating-function","display_name":"Probability-generating function","score":0.6404381990432739},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6373903751373291},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.6311126351356506},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5886238217353821},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5819644927978516},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5409681797027588},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5195222496986389},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.5146592259407043},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5081591606140137},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4745553135871887},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43796950578689575},{"id":"https://openalex.org/keywords/markovian-arrival-process","display_name":"Markovian arrival process","score":0.43771788477897644},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.34051668643951416},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.32545334100723267},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.21831080317497253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.211954265832901},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.20253607630729675},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07892227172851562},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07513642311096191},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07457396388053894}],"concepts":[{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.7883670330047607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7021464705467224},{"id":"https://openalex.org/C187825244","wikidata":"https://www.wikidata.org/wiki/Q372071","display_name":"Probability-generating function","level":4,"score":0.6404381990432739},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6373903751373291},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.6311126351356506},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5886238217353821},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5819644927978516},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5409681797027588},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5195222496986389},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.5146592259407043},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5081591606140137},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4745553135871887},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43796950578689575},{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.43771788477897644},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.34051668643951416},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.32545334100723267},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.21831080317497253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.211954265832901},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.20253607630729675},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07892227172851562},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07513642311096191},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07457396388053894},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37190/ord200401","is_oa":true,"landing_page_url":"https://doi.org/10.37190/ord200401","pdf_url":null,"source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research and Decisions","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wut:journl:v:30:y:2020:i:4:p:5-28:id:1522","is_oa":false,"landing_page_url":"https://ord.pwr.edu.pl/assets/papers_archive/1522%20-%20published.pdf","pdf_url":"https://ord.pwr.edu.pl/assets/papers_archive/1522%20-%20published.pdf","source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wut:journl:v:4:y:2020:p:5-28:id:1522","is_oa":false,"landing_page_url":"http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1522","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:dbc.wroc.pl:145280","is_oa":true,"landing_page_url":"https://dbc.wroc.pl/dlibra/publication/184360/edition/145280/content","pdf_url":null,"source":{"id":"https://openalex.org/S4210167977","display_name":"Prace Naukowe Uniwersytetu Ekonomicznego we Wroc\u0142awiu","issn_l":"1899-3192","issn":["1899-3192","2392-0041"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4322697539","host_organization_name":"Wroclaw University of Economics","host_organization_lineage":["https://openalex.org/P4322697539"],"host_organization_lineage_names":["Wroclaw University of Economics"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.boid.pwr.wroc.pl/","raw_type":"artyku\u0142"},{"id":"pmh:oai:doaj.org/article:91e3a43da80d47bcac8b06070e8689ee","is_oa":true,"landing_page_url":"https://doaj.org/article/91e3a43da80d47bcac8b06070e8689ee","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Operations Research and Decisions, Vol vol. 30, Iss no. 4, Pp 5-28 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.37190/ord200401","is_oa":true,"landing_page_url":"https://doi.org/10.37190/ord200401","pdf_url":null,"source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research and Decisions","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2138314874","https://openalex.org/W4311030272","https://openalex.org/W2001558098","https://openalex.org/W1997040898","https://openalex.org/W4205624129","https://openalex.org/W2009261453","https://openalex.org/W2974585908","https://openalex.org/W2902773392","https://openalex.org/W4231953960","https://openalex.org/W3129878231"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"customers\u2019":[4],"impatience":[5],"behaviour":[6],"for":[7],"single":[8],"server":[9],"Markovian":[10],"queueing":[11,57],"system":[12,58],"under":[13],"K-variant":[14],"working":[15],"vacation":[16],"policy,":[17],"waiting":[18],"server,":[19],"Bernoulli":[20],"feedback,":[21],"balking,":[22],"reneging,":[23],"and":[24],"retention":[25],"of":[26,40,54],"reneged":[27],"customers.":[28],"Using":[29],"probability":[30],"generating":[31],"function":[32],"(PGF)":[33],"technique,":[34],"we":[35,45],"obtain":[36],"the":[37,41,47,55,67,89],"steady-state":[38],"solution":[39],"system.":[42],"In":[43],"addition,":[44],"prove":[46],"stochastic":[48],"decomposition":[49],"properties.":[50],"Useful":[51],"performance":[52],"measures":[53],"considered":[56],"are":[59,83],"derived.":[60],"A":[61],"cost":[62],"model":[63],"is":[64,70],"developed.":[65],"Then,":[66],"parameter":[68],"optimisation":[69],"carried":[71],"out":[72],"numerically,":[73],"using":[74],"quadratic":[75],"fit":[76],"search":[77],"method":[78],"(QFSM).":[79],"Finally,":[80],"numerical":[81],"examples":[82],"provided":[84],"in":[85],"order":[86],"to":[87],"visualize":[88],"analytical":[90],"results.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}