Algorithms for the on-line travelling salesman

G. Ausiello, E. Feuerstein, S. Leonardi, L. Stougie, M. Talamo

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In this paper the problem of efficiently serving a sequence of requests presented in an on-line fashion located at points of a metric space is considered. We call this problem the On-Line Travelling Salesman Problem (OLTSP). It has a variety of relevant applications in logistics and robotics. We consider two versions of the problem. In the first one the server is not required to return to the departure point after all presented requests have been served. For this problem we derive a lower bound on the competitive ratio of 2 on the real line. Besides, a 2.5-competitive algorithm for a wide class of metric spaces, and a 7/3-competitive algorithm for the real line are provided. For the other version of the problem, in which returning to the departure point is required, we present an optimal 2-competitive algorithm for the above mentioned general class of metric spaces. If in this case the metric space is the real line we present a 1.75-competitive algorithm that compares with a \approx 1.64 lower bound.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's33
StatusGepubliceerd - 1999

Publicatie series

NaamMemorandum COSOR
Volume9909
ISSN van geprinte versie0926-4493

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  • Citeer dit

    Ausiello, G., Feuerstein, E., Leonardi, S., Stougie, L., & Talamo, M. (1999). Algorithms for the on-line travelling salesman. (Memorandum COSOR; Vol. 9909). Technische Universiteit Eindhoven.