Stochastic modelling of operational quality of k-out-of-n systems

Ji Hwan Cha () and Maxim Finkelstein ()
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Ji Hwan Cha: Ewha Womans University
Maxim Finkelstein: University of the Free State

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2020, vol. 28, issue 2, No 8, 424-441

Abstract: Abstract In this paper, we study some operational quality measures of the k-out-of-n systems. Performance of these systems is characterized by a quality (output) function that is decreasing in the absence of components’ failures. Moreover, it decreases (downward jump) with each failure of a component in a system as well. We employ the point processes approach for description of the corresponding failure process and derivation of the main results. Expectations (unconditional and conditional on survival) and variability for the system’s quality function are derived and analyzed. The corresponding ‘future quality process’ is defined and described. Some illustrative examples are presented.

Keywords: Quality function; k-out-of-n system; Point process; Stochastic intensity; Residual lifetime; 90B25; 60K10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s11750-019-00536-y

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