Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interval Linear Programming under Transformations: Optimal Solutions and
  Optimal Value Range   Interval linear programming provides a tool for solving real-world
optimization problems under interval-valued uncertainty. Instead of
approximating or estimating crisp input data, the coefficients of an interval
program may perturb independently within the given lower and upper bounds.
However, contrarily to classical linear programming, an interval program cannot
always be converted into a desired form without affecting its properties, due
to the so-called dependency problem.
  In this paper, we discuss the common transformations used in linear
programming, such as imposing non-negativity on free variables or splitting
equations into inequalities, and their effects on interval programs.
Specifically, we examine changes in the set of all optimal solutions, optimal
values and the optimal value range. Since some of the considered properties do
not holds in the general case, we also study a special class of interval
programs, in which uncertainty only affects the objective function and the
right-hand-side vector. For this class, we obtain stronger results.

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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: econ