Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aggregation-based cutting-planes for packing and covering integer
  programs   In this paper, we study the strength of Chvatal-Gomory (CG) cuts and more
generally aggregation cuts for packing and covering integer programs (IPs).
Aggregation cuts are obtained as follows: Given an IP formulation, we first
generate a single implied inequality using aggregation of the original
constraints, then obtain the integer hull of the set defined by this single
inequality with variable bounds, and finally use the inequalities describing
the integer hull as cutting-planes. Our first main result is to show that for
packing and covering IPs, the CG and aggregation closures can be 2-approximated
by simply generating the respective closures for each of the original
formulation constraints, without using any aggregations. On the other hand, we
use computational experiments to show that aggregation cuts can be arbitrarily
stronger than cuts from individual constraints for general IPs. The proof of
the above stated results for the case of covering IPs with bounds require the
development of some new structural results, which may be of independent
interest. Finally, we examine the strength of cuts based on k different
aggregation inequalities simultaneously, the so-called multi-row cuts, and show
that every packing or covering IP with a large integrality gap also has a large
k-aggregation closure rank. In particular, this rank is always at least of the
order of the logarithm of the integrality gap.

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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph