@article{1a56085b80df42cda72d18fc2321c719,
title = "Stochastic modelling of operational quality of k-out-of-n systems",
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{\textquoteright} 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{\textquoteright}s quality function are derived and analyzed. The corresponding {\textquoteleft}future quality process{\textquoteright} is defined and described. Some illustrative examples are presented.",
keywords = "Point process, Quality function, Residual lifetime, Stochastic intensity, k-out-of-n system",
author = "Cha, {Ji Hwan} and Maxim Finkelstein",
note = "Funding Information: The authors would like to thank referees for helpful comments and advices. The work of the first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2019R1A2B5B02069500). The work of the first author was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant Number: 2019R1A6A1A11051177).The work of the second author was supported by National Research Foundation (SA) (Grant No: 103613). Funding Information: The authors would like to thank referees for helpful comments and advices. The work of the first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2019R1A2B5B02069500). The work of the first author was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant Number: 2019R1A6A1A11051177).The work of the second author was supported by National Research Foundation (SA) (Grant No: 103613). Publisher Copyright: {\textcopyright} 2020, Sociedad de Estad{\'i}stica e Investigaci{\'o}n Operativa.",
year = "2020",
month = jul,
day = "1",
doi = "10.1007/s11750-019-00536-y",
language = "English",
volume = "28",
pages = "424--441",
journal = "TOP",
issn = "1134-5764",
publisher = "Sociedad de Estadistica e Investigacion Operativa",
number = "2",
}