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Journal of Scheduling

, Volume 8, Issue 3, pp 197–210 | Cite as

A Hard Dial-a-Ride Problem that is Easy on Average

  • Amin Coja-Oghlan
  • Sven O. KrumkeEmail author
  • Till Nierhoff
Article

Abstract

In the dial-a-ride-problem (Darp) objects have to be moved between given sources and destinations in a transportation network by means of a server. The goal is to find the shortest transportation for the server. We study the Darp when the underlying transportation network forms a caterpillar. This special case is strongly NP-hard in the worst case. We prove that in a probabilistic setting there exists a polynomial time algorithm that finds an optimal solution with high probability. Moreover, with high probability the optimality of the solution found can be certified efficiently. In addition, we examine the complexity of the Darp in a semirandom setting and in the unweighted case.

Keywords

average-case analysis NP-hard approximation algorithm 

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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  • Amin Coja-Oghlan
    • 1
  • Sven O. Krumke
    • 2
    Email author
  • Till Nierhoff
    • 1
  1. 1.Institut für Informatik Unter den Linden 6Humboldt-Universität zu BerlinBerlinGermany
  2. 2.Department of MathematicsUniversity of KaiserslauternKaiserslauternGermany

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