Int. J. Operational Research, Vol. 22, No. 1, 2015 31
Copyright © 2015 Inderscience Enterprises Ltd.
An application of a generalised assignment problem:
assigning recruiters to geographical locations
Alan McKendall* and Wafik Iskander
Department of Industrial and Management Systems Engineering,
West Virginia University,
325A Mineral Resources Building,
Morgantown, WV 26506, USA
Email: Alan.McKendall@mail.wvu.edu
Email: Wafik.Iskander@mail.wvu.edu
*Corresponding author
Sherron McKendall and Ann Chester
Health Science and Technology Academy,
Robert C. Byrd Health Sciences Center,
West Virginia University,
Morgantown, WV 26506, USA
Email: smckendall@hsc.wvu.edu
Email: achester@hsc.wvu.edu
Abstract: In order to increase the number of underrepresented students
pursuing college degrees in health sciences fields in the state of West Virginia,
the Health Sciences and Technology Academy (HSTA), a pre-college
enrichment programme, was established. Due to a limited budget, a limited
number of recruiters are available to recruit as many West Virginia High
School students who satisfy the programme’s selection criteria. As a result,
recruiters are assigned to geographical locations (populations of potential
HSTA students) such that the total value of the student populations assigned is
maximised with respect to the programme selection criteria. This problem is
defined as a generalised assignment problem (GAP), since more than one
student population can be assigned to a recruiter such that the capacity of the
recruiter is not exceeded. In this paper, a mathematical model, a construction
algorithm, and a tabu search heuristic are presented for the proposed GAP.
Keywords: generalised assignment problem; GAP; tabu search; meta-heuristic;
integer programme; adjacency constraint.
Reference to this paper should be made as follows: McKendall, A.,
Iskander, W., McKendall, S. and Chester, A. (2015) ‘An application of a
generalised assignment problem: assigning recruiters to geographical
locations’, Int. J. Operational Research, Vol. 22, No. 1, pp.31–47.
Biographical notes: Alan McKendall is an Associate Professor in the
Department of Industrial and Management Systems Engineering at West
Virginia University. His main research interest is in developing efficient
algorithms for optimisation problems such as logistics, sequencing, and
scheduling problems.