{"id":"https://openalex.org/W1978181548","doi":"https://doi.org/10.1080/00207548308942388","title":"On a machine interference problem with several types of machines attended by a single repairman","display_name":"On a machine interference problem with several types of machines attended by a single repairman","publication_year":1983,"publication_date":"1983-07-01","ids":{"openalex":"https://openalex.org/W1978181548","doi":"https://doi.org/10.1080/00207548308942388","mag":"1978181548"},"language":"en","primary_location":{"id":"doi:10.1080/00207548308942388","doi":"https://doi.org/10.1080/00207548308942388","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207548308942388","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","fnege-2","jufo-2","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","raw_type":"journal-article"},"volume":null,"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/A5109990576","display_name":"M. Jeya Chandra","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. JEYA CHANDRA","raw_affiliation_strings":["Department of Industrial and Management Systems Engineering, Pennsylvania State University, University Park, Pennsylvania, PA 16802, U.S.A","Department of Industrial and Management Systems Engineering , Pennsylvania State University , University Park, Pennsylvania, PA 16802, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Management Systems Engineering, Pennsylvania State University, University Park, Pennsylvania, PA 16802, U.S.A","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Department of Industrial and Management Systems Engineering , Pennsylvania State University , University Park, Pennsylvania, PA 16802, U.S.A","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009275623","display_name":"Jeyaveerasingam George Shanthikumar","orcid":"https://orcid.org/0000-0002-7345-4674","observed_orcids":["https://orcid.org/0000-0002-7345-4674","https://orcid.org/0009-0001-9970-191X"]},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. G. SHANTHIKUMAR","raw_affiliation_strings":["Department of Industrial Engineering, University of Arizona, Tucson, Arizona, U.S.A","Department of Industrial Engineering , University of Arizona , Tucson, Arizona, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Arizona, Tucson, Arizona, U.S.A","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Department of Industrial Engineering , University of Arizona , Tucson, Arizona, U.S.A","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5422,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.9280946,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"4","first_page":"529","last_page":"541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.8931000232696533,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.8931000232696533,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.09480000287294388,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/single-repairman","display_name":"single repairman","score":0.7760000228881836},{"id":"https://openalex.org/keywords/non-preemptive-priority","display_name":"non-preemptive priority","score":0.9139999747276306},{"id":"https://openalex.org/keywords/exponential-failure-times","display_name":"exponential failure times","score":0.9020000100135803},{"id":"https://openalex.org/keywords/embedded-markov-chain","display_name":"embedded Markov chain","score":0.7919999957084656},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"stationary distribution","score":0.7549999952316284}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7885081768035889},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.5779718160629272},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.5518581867218018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5194763541221619},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.502460241317749},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.49216240644454956},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4543456733226776},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2964577078819275},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2588992416858673},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12577983736991882},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09777423739433289},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07411795854568481},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207548308942388","doi":"https://doi.org/10.1080/00207548308942388","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207548308942388","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","fnege-2","jufo-2","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Production Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5378999710083008}],"sustainable_development_goals_aurora":[{"display_name":"Peace, justice, and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6800000071525574}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2036764673","https://openalex.org/W2069945931","https://openalex.org/W2125874650","https://openalex.org/W2160784243","https://openalex.org/W2798490245"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W1006270037","https://openalex.org/W3152686072","https://openalex.org/W3129238073","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,13,48],"machine":[3,92],"interference":[4,93],"problem":[5,94],"with":[6],"several":[7],"types":[8],"of":[9,28,59,62,90],"machines":[10,63],"attended":[11],"by":[12],"single":[14],"repairman.":[15],"Assuming":[16],"exponentially":[17],"distributed":[18,23],"time":[19,70],"to":[20,78],"failures,":[21],"generally":[22],"repair":[24,33],"times":[25],"arid":[26],"head":[27],"the":[29,54,60],"line":[30],"non-preemptive":[31],"priority":[32],"discipline,":[34],"an":[35,68],"imbedded":[36],"Markov":[37,44],"chain":[38,45],"model":[39,46],"is":[40,72,76,95],"formulated.":[41],"Using":[42],"this":[43,91],"and":[47,82],"discrete":[49],"state":[50,56,66],"level":[51],"crossing":[52],"analysis":[53],"steady":[55],"probability":[57],"distribution":[58],"number":[61],"in":[64],"failed":[65],"at":[67],"arbitrary":[69],"epoch":[71],"derived.":[73],"An":[74],"algorithm":[75],"developed":[77],"compute":[79],"these":[80],"probabilities":[81],"some":[83,87],"numerical":[84],"results":[85],"illustrating":[86],"basic":[88],"features":[89],"also":[96],"presented":[97]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-13T10:08:12.033832","created_date":"2025-10-10T00:00:00"}