Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact cost minimization of a series-parallel system   The redundancy allocation problem is formulated minimizing the design cost
for a series-parallel system with multiple component choices whereas ensuring a
given system reliability level. The obtained model is a nonlinear integer
programming problem with a non linear, non separable constraint. We propose an
algebraic method, based on Gr\"obner bases, to obtain the exact solution of the
problem. In addition, we provide a closed form for the required Gr\"obner
bases, avoiding the bottleneck associated with the computation, and promising
computational results.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int