The Maximum Scatter TSP on a Regular Grid

Titelangaben

Hoffmann, Isabella ; Kurz, Sascha ; Rambau, Jörg:
The Maximum Scatter TSP on a Regular Grid.
In: Doerner, Karl Franz ; Ljubic, Ivana ; Pflug, Georg ; Tragler, Gernot , Gesellschaft für Operations-Research (Hrsg.): Operations Research Proceedings 2015. - Cham : Springer , 2017 . - S. 63-70
ISBN 978-3-319-42901-4
DOI: https://doi.org/10.1007/978-3-319-42902-1_9

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Abstract

In the maximum scatter traveling salesman problem the
objective is to find a tour that maximizes the shortest distance between any two consecutive nodes. This model can be applied to manufacturing processes, particularly laser melting processes. We extend an algorithm by Arkin et al. that yields optimal solutions for nodes on a line to a regular (m x n)-grid. The new algorithm WEAVE(m,n) takes linear time to compute an optimal tour in some cases and is asymptotically optimal.