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Randomized Online Scheduling with Delivery Times

Author

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  • Steve Seiden

    (Max-Planck-Institut für Informatik, Im Stadtwald)

Abstract

We study one of the most basic online scheduling models, online one machine scheduling with delivery times where jobs arrive over time. We provide the first randomized algorithm for this model, show that it is 1.55370-competitive and show that this analysis is tight. The best possible deterministic algorithm is φ ≈ 1.61803-competitive. Our algorithm is a distribution between two deterministic algorithms. We show that any such algorithm is no better than 1.5-competitive. To our knowledge, this is the first lower bound proof for a distribution between two deterministic algorithms.

Suggested Citation

  • Steve Seiden, 1999. "Randomized Online Scheduling with Delivery Times," Journal of Combinatorial Optimization, Springer, vol. 3(4), pages 399-416, December.
  • Handle: RePEc:spr:jcomop:v:3:y:1999:i:4:d:10.1023_a:1009875403874
    DOI: 10.1023/A:1009875403874
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    Cited by:

    1. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    2. Peihai Liu & Xiwen Lu, 2015. "Online scheduling on two parallel machines with release dates and delivery times," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 347-359, August.

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