A System with Two Spare Units, Two Repair Facilities, and Two Types of Repairers

dc.contributor.authorAndalib, Vahid
dc.contributor.authorSarkar, Jyotirmoy
dc.date.accessioned2022-03-30T13:39:28Z
dc.date.available2022-03-30T13:39:28Z
dc.date.issued2022-03-08
dc.description.abstractAssuming exponential lifetime and repair time distributions, we study the limiting availability A∞ as well as the per unit time-limiting profit ω of a one-unit system having two identical, cold standby spare units using semi-Markov processes. The failed unit is repaired either by an in-house repairer within an exponential patience time T or by an external expert who works faster but charges more. When there are two repair facilities, we allow the regular repairer to begin repair or to continue repair beyond T if the expert is busy. Two models arise accordingly as the expert repairs one or all failed units during each visit. We show that (1) adding a second spare to a one-unit system already backed by a spare raises A∞ as well as ω; (2) thereafter, adding a second repair facility improves both criteria further. Finally, we determine whether the expert must repair one or all failed units to maximize these criteria and fulfill the maintenance management objectives better than previously studied models.en_US
dc.description.sponsorshipThe authors are immensely thankful to the anonymous referees for their useful comments on an earlier version of the manuscript.en_US
dc.description.urihttps://www.mdpi.com/2227-7390/10/6/852en_US
dc.format.extent13 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2k1ee-qq6p
dc.identifier.citationAndalib, Vahid, and Jyotirmoy Sarkar. 2022. "A System with Two Spare Units, Two Repair Facilities, and Two Types of Repairers" Mathematics 10, no. 6: 852. https://doi.org/10.3390/math10060852en_US
dc.identifier.urihttps://doi.org/10.3390/math10060852
dc.identifier.urihttp://hdl.handle.net/11603/24463
dc.language.isoen_USen_US
dc.publisherMDPIen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Student Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.titleA System with Two Spare Units, Two Repair Facilities, and Two Types of Repairersen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0002-5199-3650en_US

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