Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constrained Detecting Arrays: Mathematical Structures for Fault
  Identification in Combinatorial Interaction Testing   Context: Detecting arrays are mathematical structures aimed at fault
identification in combinatorial interaction testing. However, they cannot be
directly applied to systems that have constraints among test parameters. Such
constraints are prevalent in real-world systems.
  Objectives: This paper proposes Constrained Detecting Arrays (CDAs), an
extension of detecting arrays, which can be used for systems with constraints.
  Methods: The paper examines the properties and capabilities of CDAs with
rigorous arguments. The paper also proposes two algorithms for constructing
CDAs: One is aimed at generating minimum CDAs and the other is a heuristic
algorithm aimed at fast generation of CDAs. The algorithms are evaluated
through experiments using a benchmark dataset.
  Results: Experimental results show that the first algorithm can generate
minimum CDAs if a sufficiently long generation time is allowed, and the second
algorithm can generate minimum or near-minimum CDAs in a reasonable time.
  Conclusion: CDAs enhance detecting arrays to be applied to systems with
constraints. The two proposed algorithms have different advantages with respect
to the array size and generation time

35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg