Geodesic
Reliability of an Engineering System Characterized by Hot and Cold Standby: a Compound Boundary Value Problem
Yugoslav journal of operations research, Tome 31 (2021) no. 3, p. 389 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We analyse the reliability (survival function) of a duplex system characterized by hot standby and sustained by an auxiliary unit in cold standby. The entire system is attended by two heterogeneous repairmen. Our methodology is based on the theory of sectionally holomorphic functions combined with the notion of dual transforms. Finally, we also study the total occupational time of the repairman responsible for the repair of the failed priority unit during the survival time of the system.
Classification : 60K10
Keywords: Duplex System, Priority Rule, Stopping Time, Survival Function 
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     author = {Edmond Vanderperre and Stanislav Makhanov},
     title = {Reliability of an {Engineering} {System} {Characterized} by {Hot} and {Cold} {Standby:} a {Compound} {Boundary} {Value} {Problem}},
     journal = {Yugoslav journal of operations research},
     pages = {389 },
     year = {2021},
     volume = {31},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2021_31_3_a7/}
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Edmond Vanderperre; Stanislav Makhanov. Reliability of an Engineering System Characterized by Hot and Cold Standby: a Compound Boundary Value Problem. Yugoslav journal of operations research, Tome 31 (2021) no. 3, p. 389 . http://geodesic.mathdoc.fr/item/YJOR_2021_31_3_a7/