Journal of Combinatorial Optimization

, Volume 26, Issue 2, pp 237–250 | Cite as

Online algorithms for maximizing weighted throughput of unit jobs with temperature constraints

  • Martin Birks
  • Daniel Cole
  • Stanley P. Y. Fung
  • Huichao Xue


We consider a temperature-aware online deadline scheduling model. The objective is to schedule a number of unit jobs, with release dates, deadlines, weights and heat contributions, to maximize the weighted throughput subject to a temperature threshold. We first give an optimally competitive randomized algorithm. Then we give a constant competitive randomized algorithm that allows a tradeoff between the maximum heat contribution of jobs and the competitiveness. Finally we consider the multiple processor case and give several tight upper and lower bounds.


Online algorithms Scheduling Competitive analysis Temperature Resource augmentation 



We thank the anonymous reviewers for their useful comments, and Kirk Pruhs for useful discussions.


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Martin Birks
    • 1
  • Daniel Cole
    • 2
  • Stanley P. Y. Fung
    • 1
  • Huichao Xue
    • 2
  1. 1.Department of Computer ScienceUniversity of LeicesterLeicesterUK
  2. 2.Department of Computer ScienceUniversity of PittsburghPittsburghUSA

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