Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reliability of systems with dependent components based on lattice
  polynomial description   Reliability of a system is considered where the components' random lifetimes
may be dependent. The structure of the system is described by an associated
"lattice polynomial" function. Based on that descriptor, general framework
formulas are developed and used to obtain direct results for the cases where a)
the lifetimes are "Bayes-dependent", that is, their interdependence is due to
external factors (in particular, where the factor is the "preliminary phase"
duration) and b) where the lifetimes' dependence is implied by upper or lower
bounds on lifetimes of components in some subsets of the system. (The bounds
may be imposed externally based, say, on the connections environment.) Several
special cases are investigated in detail.

14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex