Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New artificial-free phase 1 simplex method   This paper presents new and easy to use versions of primal and dual phase 1
processes which obviate the role of artificial variables and constraints by
allowing negative variables into the basis. During the process new method
visits the same sequence of corner points as the traditional phase 1 does. The
new method is artificial free so, it also avoids stalling and saves degenerate
pivots in many cases of linear programming problems.

12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol