# 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} }

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…

## 4 Citations

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This work gives the first general analysis of Gittins in the M/G/k and shows that under extremely general conditions, Gittin's mean response time is at most itsmean response time in theM/g/1 plus an $O(łog(1/(1 - ρ)$ additive term, where ρ is the system load.

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