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A node current-based 2-index formulation for the fixed-destination multi-depot travelling salesman problem

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  • Burger, M.
  • Su, Z.
  • De Schutter, B.

Abstract

The travelling salesman problem forms a basis for many optimisation problems in logistics, finance, and engineering. Several variants exist to accommodate for different problem types. In this paper, we discuss the fixed-destination, multi-depot travelling salesman problem, where several salesmen will start from different depots, and they are required to return to the depot they originated from. We propose a novel formulation for this problem using 2-index binary variables and node currents, and compare it to other 2-index formulations from the literature. This novel formulation requires less binary variables and continuous variables to formulate a problem, resulting in lower computation times. Using a large benchmark the effectiveness of the new formulation is demonstrated.

Suggested Citation

  • Burger, M. & Su, Z. & De Schutter, B., 2018. "A node current-based 2-index formulation for the fixed-destination multi-depot travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 265(2), pages 463-477.
    • Handle: RePEc:eee:ejores:v:265:y:2018:i:2:p:463-477
    DOI: 10.1016/j.ejor.2017.07.056
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    References listed on IDEAS

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