Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction and reduction of the Pareto set in asymmetric travelling
  salesman problem with two criteria   We consider the bicriteria asymmetric travelling salesman problem (bi-ATSP).
Optimal solution to a multicriteria problem is usually supposed to be the
Pareto set, which is rather wide in real-world problems. For the first time we
apply to the bi-ATSP the axiomatic approach of the Pareto set reduction
proposed by V. Noghin. We identify series of 'quanta of information' that
guarantee the reduction of the Pareto set for particular cases of the bi-ATSP.
An approximation of the Pareto set to the bi-ATSP is constructed by a new
multi-objective genetic algorithm. The experimental evaluation carried out in
this paper shows the degree of reduction of the Pareto set approximation for
various 'quanta of information' and various structures of the bi-ATSP instances
generated randomly or from TSPLIB problems.

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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga