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Cooperative TSP

  • Amitai Armon
  • Adi Avidor
  • Oded Schwartz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4168)

Abstract

In this paper we introduce and study cooperative variants of the Traveling Salesperson Problem. In these problems a salesperson has to make deliveries to customers who are willing to help in the process. Customer cooperativeness may be manifested in several modes: they may assist by approaching the salesperson, by reselling the goods they purchased to other customers, or by doing both.

Several objectives are of interest: minimizing the total distance traveled by all the participants, minimizing the maximal distance traveled by a participant and minimizing the total time until all the deliveries are made.

All the combinations of cooperation-modes and objective functions are considered, both in weighted undirected graphs and in Euclidean space. We show that most of the problems have a constant approximation algorithm, many of the others admit a PTAS, and a few are solvable in polynomial time. On the intractability side we provide NP-hardness proofs and inapproximability factors, some of which are tight.

Keywords

Pixel Center Goal Function Travel Salesperson Problem Weighted Undirected Graph Cooperation Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Amitai Armon
    • 1
  • Adi Avidor
    • 1
  • Oded Schwartz
    • 1
  1. 1.School of Computer ScienceTel-Aviv UniversityIsrael

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