Zusammenfassung
Betrachtet wird ein System, das aus zwei KlassenS 1 undS 2 von Komponenten besteht. Die KlasseS 1 enthältM redundante Komponenten, die so miteinander verknüpft sind, daß bei Ausfall eines Elements das nächste zu arbeiten beginnt, währendS 2 ausN hintereinandergeschalteten Komponenten besteht. Die Komponenten inS 1 versagen unabhängig voneinander gemäß einer allgemeinen Wahrscheinlichkeitsverteilung, während die Komponenten inS 2 mit konstanter Häufigkeit ausfallen. Alle Reparaturzeitverteilungen genügen denselben allgemeinen Wahrscheinlichkeitsgesetzen. In dieser Arbeit wird das Verhalten des obigen Systems untersucht, wenn eine „opportune“ Reparaturpolitik verwendet wird (vgl. [4]). Zur Herleitung der verschiedenen zeitabhängigen und stationären Lösungen wird die „Supplementary Variable Technique“ vonKeilson andKooharian [6] verwendet. Schließlich wird noch die Auswirkung zweier verschiedener Reparaturpolitiken auf das System untersucht. Ein numerisches Beispiel dient zur Illustration der erhaltenen Ergebnisse. Bei Zugrundelegung der „opportunen“ Reparaturpolitik wird noch die günstigste Anzahl der Elemente inS 1 berechnet.
Summary
Consider a multicomponent system consisting of two classes of components i.e.S 1 andS 2 such thatS 1 class containsM stand-by redundantly connected components whileS 2 is comprised ofN components connected in series. Components inS 1 fail independently according to some general distributions while inS 2 the components fail with constant rate. All the repair time distributions are governed by some general probability laws. Operational behaviour of the above mentioned system with opportunistic repairs [4] has been studied in this paper. The “Supplementary variable technque” developed byKeilson andKooharian [6] is used to obtain the various time dependent and steady state solutions. In the end, the effect of two different repair policies on the operational behaviour of the system has also been studied. A numerical illustration has been added to highlight the important results. The optimum number of components inS 1 subject to opportunistic repairs has also been calculated.
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Vorgel. v.:F. Ferschl.
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Kulshrestha, D.K. Operational behaviour of a multicomponent system having stand-by redundancy with opportunistic reparis. Unternehmensforschung Operations Research 12, 159–172 (1968). https://doi.org/10.1007/BF01918325
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DOI: https://doi.org/10.1007/BF01918325