id: 00063528
dt: j
an: 00063528
au: Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
ti: Redundancy importance and allocation of spares in coherent systems.
so: J. Stat. Plann. Inference 29, No.1-2, 55-66 (1991).
py: 1991
pu: Elsevier Science B.V. (North-Holland), Amsterdam
la: EN
cc: 
ut: active redundancy; Schur concave; redundancy importance; coherent system;
    measures of component importance; redundant spare components; parallel
    redundancy; series redundancy; structural importance; Birnbaum’s
    reliability importance; $k$-out-of-$n$ systems; modules
ci: 
li: doi:10.1016/0378-3758(92)90121-8
ab: The authors discussed the concept of ‘redundancy importance’ for
    components in a coherent system and compared it to other well-known
    measures of component importance. Using this concept, the authors
    optimized the allocation of one or more redundant spare components to
    the coherent system. In some circumstances, parallel redundancy is used
    to improve the reliability of the system, while in others series
    redundancy is used to improve a different measure of utility. Keeping
    this aspect in view, the authors have defined the two concepts of
    parallel and series redundancy importance for components in a coherent
    system relative to an available set of redundant spares. These measures
    of importance have been compared with the structural importance and
    Birnbaum’s reliability importance of a component. Various results for
    the optimal allocation of redundant spares are obtained, with
    particular reference to $k$-out-of-$n$ systems and modules of coherent
    systems. This paper discussed an important problem related to systems.
    The results are interesting and important.
rv: L.R.Goel (Meerut)