---
res:
bibo_abstract:
- "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$\\Omega(\\frac{c}{\\varepsilon})$.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Alexander
foaf_name: Mäcker, Alexander
foaf_surname: Mäcker
foaf_workInfoHomepage: http://www.librecat.org/personId=13536
- foaf_Person:
foaf_givenName: Manuel
foaf_name: Malatyali, Manuel
foaf_surname: Malatyali
- foaf_Person:
foaf_givenName: Friedhelm
foaf_name: Meyer auf der Heide, Friedhelm
foaf_surname: Meyer auf der Heide
foaf_workInfoHomepage: http://www.librecat.org/personId=15523
- foaf_Person:
foaf_givenName: Sören
foaf_name: Riechers, Sören
foaf_surname: Riechers
dct_date: 2016^xs_gYear
dct_language: eng
dct_title: Cost-efficient Scheduling on Machines from the Cloud@
...