Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assigning and Scheduling Generalized Malleable Jobs under Subadditive or
  Submodular Processing Speeds   Malleable scheduling is a model that captures the possibility of
parallelization to expedite the completion of time-critical tasks. A malleable
job can be allocated and processed simultaneously on multiple machines,
occupying the same time interval on all these machines. We study a general
version of this setting, in which the functions determining the joint
processing speed of machines for a given job follow different discrete
concavity assumptions (subadditivity, fractional subadditivity, submodularity,
and matroid ranks). We show that under these assumptions the problem of
scheduling malleable jobs at minimum makespan can be approximated by a
considerably simpler assignment problem. Moreover, we provide efficient
approximation algorithms for both the scheduling and the assignment problem,
with increasingly stronger guarantees for increasingly stronger concavity
assumptions, including a logarithmic approximation factor for the case of
submodular processing speeds and a constant approximation factor when
processing speeds are determined by matroid rank functions. Computational
experiments indicate that our algorithms outperform the theoretical worst-case
guarantees.

26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg