A Heuristic for the Stacker Crane Problem on Trees Which Is Almost Surely Exact

  • Amin Coja-Oghlan
  • Sven O. Krumke
  • Till Nierhoff
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2906)


Given an edge-weighted transportation network G and a list of transportation requests L, the stacker crane problem is to find a minimum-cost tour for a server along the edges of G that serves all requests. The server has capacity one, and starts and stops at the same vertex. In this paper, we consider the case that the transportation network G is a tree, and that the requests are chosen randomly according to a certain class of probability distributions. We show that a polynomial time algorithm by Frederickson and Guan [11], which guarantees a 4/3-approximation in the worst case, on almost all inputs finds a minimum-cost tour, along with a certificate of the optimality of its output.


Binary Tree Travelling Salesman Problem Chromatic Number Small Component Random Model 
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 2003

Authors and Affiliations

  • Amin Coja-Oghlan
    • 1
  • Sven O. Krumke
    • 2
  • Till Nierhoff
    • 1
  1. 1.Institut für InformatikHumboldt-Universität zu BerlinBerlinGermany
  2. 2.Department OptimizationKonrad-Zuse-Zentrum für Informationstechnik BerlinBerlin-DahlemGermany

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