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On the new operational characteristic for degrading systems executing missions of fixed duration
Author(s) -
Finkelstein Maxim,
Levitin Gregory
Publication year - 2020
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2572
Subject(s) - computer science , duration (music) , reliability (semiconductor) , black box , reliability engineering , process (computing) , quality (philosophy) , homogeneous , monotone polygon , mathematical optimization , mathematics , engineering , artificial intelligence , epistemology , quantum mechanics , combinatorics , operating system , art , power (physics) , philosophy , physics , geometry , literature
In practice, it is often important to know how a system is performing as compared with initial, prior assessment of its reliability characteristics (black‐box scenario). For degrading systems, this comparison can be executed by observing degradation dynamically and then comparing the corresponding remaining lifetime of an operating system at each instant of time with that of the black‐box scenario. As a motivating example, the 1 out of n cold standby system is considered. Then the results of comparisons are generalized to the case of the general monotone stochastic processes of deterioration. Finally, based on the developed reasoning, a problem of describing the quality of performance of systems executing missions of the fixed duration is considered for the cost‐wise and probability‐wise criteria. The detailed numerical examples for the homogeneous gamma process of deterioration are presented.