---
_id: '16396'
abstract:
- lang: eng
text: "We consider a scheduling problem where machines need to be rented from the\r\ncloud
in order to process jobs. There are two types of machines available which\r\ncan
be rented for machine-type dependent prices and for arbitrary durations.\r\nHowever,
a machine-type dependent setup time is required before a machine is\r\navailable
for processing. Jobs arrive online over time, have machine-type\r\ndependent sizes
and have individual deadlines. The objective is to rent\r\nmachines and schedule
jobs so as to meet all deadlines while minimizing the\r\nrental cost.\r\n Since
we observe the slack of jobs to have a fundamental influence on the\r\ncompetitiveness,
we study the model when instances are parameterized by their\r\n(minimum) slack.
An instance is called to have a slack of $\\beta$ if, for all\r\njobs, the difference
between the job's release time and the latest point in\r\ntime at which it needs
to be started is at least $\\beta$. While for $\\beta < s$\r\nno finite competitiveness
is possible, our main result is an\r\n$O(\\frac{c}{\\varepsilon} + \\frac{1}{\\varepsilon^3})$-competitive
online\r\nalgorithm for $\\beta = (1+\\varepsilon)s$ with $\\frac{1}{s} \\leq
\\varepsilon\r\n\\leq 1$, where $s$ and $c$ denotes the largest setup time and
the cost ratio of\r\nthe machine-types, respectively. It is complemented by a
lower bound of\r\n$\\Omega(\\frac{c}{\\varepsilon})$."
author:
- first_name: Alexander
full_name: Mäcker, Alexander
id: '13536'
last_name: Mäcker
- first_name: Manuel
full_name: Malatyali, Manuel
last_name: Malatyali
- first_name: Friedhelm
full_name: Meyer auf der Heide, Friedhelm
id: '15523'
last_name: Meyer auf der Heide
- first_name: Sören
full_name: Riechers, Sören
last_name: Riechers
citation:
ama: Mäcker A, Malatyali M, Meyer auf der Heide F, Riechers S. Cost-efficient Scheduling
on Machines from the Cloud. *arXiv:160901184*. 2016.
apa: Mäcker, A., Malatyali, M., Meyer auf der Heide, F., & Riechers, S. (2016).
Cost-efficient Scheduling on Machines from the Cloud. *ArXiv:1609.01184*.
bibtex: '@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} }'
chicago: Mäcker, Alexander, Manuel Malatyali, Friedhelm Meyer auf der Heide, and
Sören Riechers. “Cost-Efficient Scheduling on Machines from the Cloud.” *ArXiv:1609.01184*,
2016.
ieee: A. Mäcker, M. Malatyali, F. Meyer auf der Heide, and S. Riechers, “Cost-efficient
Scheduling on Machines from the Cloud,” *arXiv:1609.01184*. 2016.
mla: Mäcker, Alexander, et al. “Cost-Efficient Scheduling on Machines from the Cloud.”
*ArXiv:1609.01184*, 2016.
short: A. Mäcker, M. Malatyali, F. Meyer auf der Heide, S. Riechers, ArXiv:1609.01184
(2016).
date_created: 2020-04-03T09:24:28Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
arxiv:
- '1609.01184'
language:
- iso: eng
publication: arXiv:1609.01184
status: public
title: Cost-efficient Scheduling on Machines from the Cloud
type: preprint
user_id: '15415'
year: '2016'
...