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A continuous variable representation of the traveling salesman problem

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Abstract

The classic traveling salesman problem is characterized in terms of continuous flows on a specially constructed non-conservative network, in 2n − 1 linear constraints and a cardinality constraint. It is shown that every solution to the network problem is a hamiltonian circuit.

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Svestka, J.A. A continuous variable representation of the traveling salesman problem. Mathematical Programming 15, 211–213 (1978). https://doi.org/10.1007/BF01609019

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  • DOI: https://doi.org/10.1007/BF01609019

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