# Cost-efficient Scheduling on Machines from the Cloud

A. Mäcker, M. Malatyali, F. Meyer auf der Heide, S. Riechers, ArXiv:1609.01184 (2016).

Preprint | English
Author
Abstract
We consider a scheduling problem where machines need to be rented from the cloud in order to process jobs. There are two types of machines available which can be rented for machine-type dependent prices and for arbitrary durations. However, a machine-type dependent setup time is required before a machine is available for processing. Jobs arrive online over time, have machine-type dependent sizes and have individual deadlines. The objective is to rent machines and schedule jobs so as to meet all deadlines while minimizing the rental cost. Since we observe the slack of jobs to have a fundamental influence on the competitiveness, we study the model when instances are parameterized by their (minimum) slack. An instance is called to have a slack of $\beta$ if, for all jobs, the difference between the job's release time and the latest point in time at which it needs to be started is at least $\beta$. While for $\beta < s$ no finite competitiveness is possible, our main result is an $O(\frac{c}{\varepsilon} + \frac{1}{\varepsilon^3})$-competitive online algorithm for $\beta = (1+\varepsilon)s$ with $\frac{1}{s} \leq \varepsilon \leq 1$, where $s$ and $c$ denotes the largest setup time and the cost ratio of the machine-types, respectively. It is complemented by a lower bound of $\Omega(\frac{c}{\varepsilon})$.
Publishing Year
Journal Title
arXiv:1609.01184
LibreCat-ID

### Cite this

Mäcker A, Malatyali M, Meyer auf der Heide F, Riechers S. Cost-efficient Scheduling on Machines from the Cloud. arXiv:160901184. 2016.
Mäcker, A., Malatyali, M., Meyer auf der Heide, F., & Riechers, S. (2016). Cost-efficient Scheduling on Machines from the Cloud. ArXiv:1609.01184.
@article{Mäcker_Malatyali_Meyer auf der Heide_Riechers_2016, title={Cost-efficient Scheduling on Machines from the Cloud}, journal={arXiv:1609.01184}, author={Mäcker, Alexander and Malatyali, Manuel and Meyer auf der Heide, Friedhelm and Riechers, Sören}, year={2016} }
Mäcker, Alexander, Manuel Malatyali, Friedhelm Meyer auf der Heide, and Sören Riechers. “Cost-Efficient Scheduling on Machines from the Cloud.” ArXiv:1609.01184, 2016.
A. Mäcker, M. Malatyali, F. Meyer auf der Heide, and S. Riechers, “Cost-efficient Scheduling on Machines from the Cloud,” arXiv:1609.01184. 2016.
Mäcker, Alexander, et al. “Cost-Efficient Scheduling on Machines from the Cloud.” ArXiv:1609.01184, 2016.

### Export

Marked Publications

Open Data LibreCat

arXiv 1609.01184