Optimization Letters

, Volume 8, Issue 2, pp 777–799

Scheduling problems in transportation networks of line topology

  • Dariusz R. Kowalski
  • Eyal Nussbaum
  • Michael Segal
  • Vitaly Milyeykovsky
Original Paper


In this paper we consider online scheduling problems for linear topology under various objective functions: minimizing the maximum completion time, minimizing the largest delay, and minimizing the sum of completion times. We give optimal solutions for uni-directional version of the problem for each of the objectives and show that for the two-directional versions of each problem, no online algorithm can deterministically achieve the optimal solution for any of the considered objective functions. We also propose 2-approximation on-line algorithms for the MinMakespan and the MinSum minimization objectives. We also prove that no online algorithm can deterministically achieve the optimal solution for any of the considered objective functions for the weighted case of uni-directional scenarios.


Scheduling Linear network Online algorithms 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Dariusz R. Kowalski
    • 1
  • Eyal Nussbaum
    • 2
  • Michael Segal
    • 2
  • Vitaly Milyeykovsky
    • 2
  1. 1.Department of Computer ScienceUniversity of LiverpoolLiverpoolUK
  2. 2.Communication Systems Engineering DepartmentBen-Gurion University of the NegevBeer-ShevaIsrael

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