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

M. Burger, Zoey Su and B. De Schutter

European Journal of Operational Research, 2018, vol. 265, issue 2, 463-477

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.

Keywords: Travelling salesman; Node current; Integer programming; Fixed-destination problem (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:265:y:2018:i:2:p:463-477

DOI: 10.1016/j.ejor.2017.07.056

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