The redundancy allocation problem (RAP) is concerned with the allocation of redundancy
that maximizes the system reliability subject to constraints on system cost, or minimizes the
system cost subject to constraints on the system reliability, has been an active research area
in recent decades. In this paper, we consider the generalized redundancy allocation
problem (GRAP), which extends traditional RAP to a more realistic situation where the
system under consideration has a generalized (typically complex) network structure; for …

The redundancy allocation problem (RAP) is an important reliability optimization problem
and has been an active area of research for the past decades. In the literature, most of these
system reliability problems are considered in series–parallel where the reliability of each
component is assumed a known constant. However, in reality, the component reliability may
exhibit quality variations and the reliability of each component shall be better considered
stochastic. This motivates this paper to extend the RAP to a more realistic situation in which …