Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SOCP-based disjunctive cuts for a class of integer nonlinear bilevel
  programs   We study a class of bilevel integer programs with second-order cone
constraints at the upper level and a convex quadratic objective and linear
constraints at the lower level. We develop disjunctive cuts to separate bilevel
infeasible points using a second-order-cone-based cut-generating procedure. To
the best of our knowledge, this is the first time disjunctive cuts are studied
in the context of discrete bilevel optimization. Using these disjunctive cuts,
we establish a branch-and-cut algorithm for the problem class we study, and a
cutting plane method for the problem variant with only binary variables. We
present a preliminary computational study on instances with no second-order
cone constraints at the upper level and a single linear constraint at the lower
level. Our study demonstrates that both our approaches outperform a
state-of-the-art generic solver for mixed-integer bilevel linear programs that
is able to solve a linearized version of our test instances, where the
non-linearities are linearized in a McCormick fashion.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph