{"id":"https://openalex.org/W2057187422","doi":"https://doi.org/10.1016/s0096-3003(03)00545-9","title":"On M[x]G1G21 queue with optional re-service","display_name":"On M[x]G1G21 queue with optional re-service","publication_year":2003,"publication_date":"2003-06-20","ids":{"openalex":"https://openalex.org/W2057187422","doi":"https://doi.org/10.1016/s0096-3003(03)00545-9","mag":"2057187422"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(03)00545-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00545-9","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5049233563","display_name":"Kailash C. Madan","orcid":"https://orcid.org/0000-0002-8462-4368"},"institutions":[{"id":"https://openalex.org/I85507684","display_name":"Yarmouk University","ror":"https://ror.org/004mbaj56","country_code":"JO","type":"education","lineage":["https://openalex.org/I85507684"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Kailash C Madan","raw_affiliation_strings":["Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan","Department of Statistics, Faculty of Science Yarmouk University  Irbid Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan","institution_ids":["https://openalex.org/I85507684"]},{"raw_affiliation_string":"Department of Statistics, Faculty of Science Yarmouk University  Irbid Jordan","institution_ids":["https://openalex.org/I85507684"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077759227","display_name":"Amjad D. Al\u2010Nasser","orcid":"https://orcid.org/0000-0001-7515-2357"},"institutions":[{"id":"https://openalex.org/I85507684","display_name":"Yarmouk University","ror":"https://ror.org/004mbaj56","country_code":"JO","type":"education","lineage":["https://openalex.org/I85507684"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Amjad D Al-Nasser","raw_affiliation_strings":["Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan","Department of Statistics, Faculty of Science Yarmouk University  Irbid Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan","institution_ids":["https://openalex.org/I85507684"]},{"raw_affiliation_string":"Department of Statistics, Faculty of Science Yarmouk University  Irbid Jordan","institution_ids":["https://openalex.org/I85507684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012224464","display_name":"Abedel-Qader Al-Masri","orcid":"https://orcid.org/0000-0002-8766-1877"},"institutions":[{"id":"https://openalex.org/I85507684","display_name":"Yarmouk University","ror":"https://ror.org/004mbaj56","country_code":"JO","type":"education","lineage":["https://openalex.org/I85507684"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Abedel-Qader Al-Masri","raw_affiliation_strings":["Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan","Department of Statistics, Faculty of Science Yarmouk University  Irbid Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan","institution_ids":["https://openalex.org/I85507684"]},{"raw_affiliation_string":"Department of Statistics, Faculty of Science Yarmouk University  Irbid Jordan","institution_ids":["https://openalex.org/I85507684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049233563"],"corresponding_institution_ids":["https://openalex.org/I85507684"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.19505127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"152","issue":"1","first_page":"71","last_page":"88"},"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/T11720","display_name":"Probability and Risk Models","score":0.9717000126838684,"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/T11773","display_name":"Healthcare Operations and Scheduling Optimization","score":0.9641000032424927,"subfield":{"id":"https://openalex.org/subfields/3604","display_name":"Emergency Medical Services"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6595398187637329},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6485030651092529},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.6292737126350403},{"id":"https://openalex.org/keywords/bulk-queue","display_name":"Bulk queue","score":0.4297850728034973},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3762311637401581},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3323504328727722},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.32574403285980225},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.32520490884780884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2865317463874817},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.06383481621742249}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6595398187637329},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6485030651092529},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.6292737126350403},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.4297850728034973},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3762311637401581},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3323504328727722},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.32574403285980225},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.32520490884780884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2865317463874817},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.06383481621742249},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(03)00545-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00545-9","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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":18,"referenced_works":["https://openalex.org/W235987231","https://openalex.org/W1488584612","https://openalex.org/W1969808516","https://openalex.org/W1988049588","https://openalex.org/W1989231174","https://openalex.org/W2005098937","https://openalex.org/W2007067316","https://openalex.org/W2016348677","https://openalex.org/W2017070295","https://openalex.org/W2037108794","https://openalex.org/W2103071636","https://openalex.org/W2152530926","https://openalex.org/W2162794762","https://openalex.org/W2795939803","https://openalex.org/W2798814333","https://openalex.org/W2904487538","https://openalex.org/W3192412886","https://openalex.org/W4386194140"],"related_works":["https://openalex.org/W2111375262","https://openalex.org/W1991205173","https://openalex.org/W2109048960","https://openalex.org/W2741481635","https://openalex.org/W2038165453","https://openalex.org/W2137328885","https://openalex.org/W2338537463","https://openalex.org/W2183644707","https://openalex.org/W1595657826","https://openalex.org/W4319869621"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}