Chromatic Scheduling of 1- and 2-Processor UET Tasks on Dedicated Machines with Availability Constraints

  • Krzysztof Giaro
  • Marek Kubale
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3911)


We address a generalization of the classical 1- and 2-processor UET scheduling problem on dedicated machines. In our chromatic model of scheduling machines have non-simultaneous availability times and tasks have arbitrary release times and due dates. Also, the versatility of our approach makes it possible to generalize all known classical criteria of optimality. Under these constraints we show that the problem of optimal scheduling of sparse instances can be solved in polynomial time.


Availability Constraint Test Schedul Pendant Edge Optimal Coloring Multiprocessor Task 
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© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Krzysztof Giaro
    • 1
  • Marek Kubale
    • 1
  1. 1.Department of Algorithms and System ModelingGdańsk University of TechnologyPoland

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