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Journal of Scheduling

, Volume 9, Issue 5, pp 493–495 | Cite as

On a parallel machine scheduling problem with precedence constraints

  • Isto Aho
  • Erkki Mäkinen
Article

Abstract

We characterize a nontrivial special case with a polynomial-time algorithm for a well-known parallel machine scheduling problem with precedence constraints, with a fixed number of machines, and with tasks of unit length. The special case is related to instances with given maximum path length and maximum degree of the task precedence graph. The method is based on the observation that the number of tasks is either small and bounded by a constant depending on the maximum path length and maximum degree, or alternatively, the number of tasks is large, giving a “dense” schedule.

Keywords

Algorithms Scheduling Precedence constraints 

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Copyright information

© Springer Science + Business Media, LLC 2006

Authors and Affiliations

  1. 1.Department of Computer SciencesUniversity of TampereFinland

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