Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A semidefinite programming approach for solving Multiobjective Linear
  Programming   Several algorithms are available in the literature for finding the entire set
of Pareto-optimal solutions in MultiObjective Linear Programming (MOLP).
However, it has not been proposed so far an interior point algorithm that finds
all Pareto-optimal solutions of MOLP. We present an explicit construction,
based on a transformation of any MOLP into a finite sequence of SemiDefinite
Programs (SDP), the solutions of which give the entire set of Pareto-optimal
extreme points solutions of MOLP. These SDP problems are solved by interior
point methods; thus our approach provides a pseudo-polynomial interior point
methodology to find the set of Pareto-optimal solutions of MOLP.

34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph