Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A 3/2-approximation algorithm for the Student-Project Allocation problem   The Student-Project Allocation problem with lecturer preferences over
Students (SPA-S) comprises three sets of agents, namely students, projects and
lecturers, where students have preferences over projects and lecturers have
preferences over students. In this scenario we seek a stable matching, that is,
an assignment of students to projects such that there is no student and
lecturer who have an incentive to deviate from their assignee/s. We study
SPA-ST, the extension of SPA-S in which the preference lists of students and
lecturers need not be strictly ordered, and may contain ties. In this scenario,
stable matchings may be of different sizes, and it is known that MAX SPA-ST,
the problem of finding a maximum stable matching in SPA-ST, is NP-hard. We
present a linear-time 3/2-approximation algorithm for MAX SPA-ST and an Integer
Programming (IP) model to solve MAX SPA-ST optimally. We compare the
approximation algorithm with the IP model experimentally using
randomly-generated data. We find that the performance of the approximation
algorithm easily surpassed the 3/2 bound, constructing a stable matching within
92% of optimal in all cases, with the percentage being far higher for many
instances.

13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics