Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A joint decomposition method for global optimization of multiscenario
  nonconvex mixed-integer nonlinear programs   This paper proposes a joint decomposition method that combines La- grangian
decomposition and generalized Benders decomposition, to efficiently solve
multiscenario nonconvex mixed-integer nonlinear programming (MINLP) problems to
global optimality, without the need for explicit branch and bound search. In
this approach, we view the variables coupling the scenario dependent variables
and those causing nonconvexity as complicating variables. We systemat- ically
solve the Lagrangian decomposition subproblems and the generalized Ben- ders
decomposition subproblems in a unified framework. The method requires the
solution of a difficult relaxed master problem, but the problem is only solved
when necessary. Enhancements to the method are made to reduce the number of the
relaxed master problems to be solved and ease the solution of each relaxed
master problem. We consider two scenario-based, two-stage stochastic nonconvex
MINLP problems that arise from integrated design and operation of process net-
works in the case study, and we show that the proposed method can solve the two
problems significantly faster than state-of-the-art global optimization
solvers.

4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas