Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Gr\"obner bases methodology for solving multiobjective polynomial
  integer programs   Multiobjective discrete programming is a well-known family of optimization
problems with a large spectrum of applications. The linear case has been
tackled by many authors during the last years. However, the polynomial case has
not been deeply studied due to its theoretical and computational difficulties.
This paper presents an algebraic approach for solving these problems. We
propose a methodology based on transforming the polynomial optimization problem
in the problem of solving one or more systems of polynomial equations and we
use certain Gr\"obner bases to solve these systems. Different transformations
give different methodologies that are analyzed and compared from a theoretical
point of view and by some computational experiments via the algorithms that
they induce.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin