The Gittins Policy in the M/G/1 Queue

@article{Scully2021TheGP,
  title={The Gittins Policy in the M/G/1 Queue},
  author={Ziv Scully and Mor Harchol-Balter},
  journal={2021 19th International Symposium on Modeling and Optimization in Mobile, Ad hoc, and Wireless Networks (WiOpt)},
  year={2021},
  pages={1-8}
}
  • Ziv ScullyMor Harchol-Balter
  • Published 18 October 2021
  • Computer Science
  • 2021 19th International Symposium on Modeling and Optimization in Mobile, Ad hoc, and Wireless Networks (WiOpt)
The Gittins policy is a highly general scheduling policy that minimizes a wide variety of mean holding cost metrics in the M/G/1 queue. Perhaps most famously, Gittins minimizes mean response time in the M/G/1 when jobs’ service times are unknown to the scheduler. Gittins also minimizes weighted versions of mean response time. For example, the well-known "cμ rule", which minimizes class-weighted mean response time in the multiclass M/M/1, is a special case of Gittins.However, despite the… 

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