# Speed-robust scheduling: sand, bricks, and rocks

@article{Eberle2020SpeedrobustSS, title={Speed-robust scheduling: sand, bricks, and rocks}, author={Franziska Eberle and Ruben Hoeksma and Nicole Megow and Lukas N{\"o}lke and Kevin Schewior and Bertrand Simon}, journal={Mathematical Programming}, year={2020}, volume={197}, pages={1009 - 1048} }

The speed-robust scheduling problem is a two-stage problem where, given m machines, jobs must be grouped into at most m bags while the processing speeds of the machines are unknown. After the speeds are revealed, the grouped jobs must be assigned to the machines without being separated. To evaluate the performance of algorithms, we determine upper bounds on the worst-case ratio of the algorithm’s makespan and the optimal makespan given full information. We refer to this ratio as the robustness…

## 2 Citations

### Scheduling with Speed Predictions

- Computer ScienceArXiv
- 2022

This paper studies the speed-robust scheduling problem where the speeds of the machines, instead of the processing times of the jobs, are unknown and develops an algorithm that achieves a min { η 2 (1+ α ) , (2+2 /α ) } approximation, for any α ∈ (0, 1) , where η ≥ 1 is the prediction error.

### Speed-Oblivious Online Scheduling: Knowing (Precise) Speeds is not Necessary

- Computer ScienceArXiv
- 2023

This work considers online scheduling on unrelated (heterogeneous) machines in a speed-oblivious setting, where an algorithm is unaware of the exact job-dependent processing speeds, and provides competitive algorithms for the speed-ordered model.

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