Scalable Load Balancing in Nurse to Patient Assignment Problems

  • Authors:
  • Pierre Schaus;Pascal Hentenryck;Jean-Charles Régin

  • Affiliations:
  • Dynadec, Providence, USA RI 02906;Brown University, Providence, USA RI 02912;Université de Nice-Sophia Antipolis, Sophia Antipolis Cedex, France 06903

  • Venue:
  • CPAIOR '09 Proceedings of the 6th International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper considers the daily assignment of newborn infant patients to nurses in a hospital. The objective is to balance the workload of the nurses, while satisfying a variety of side constraints. Prior work proposed a MIP model for this problem, which unfortunately did not scale to large instances and only approximated the objective function, since minimizing the variance cannot be expressed in a linear model. This paper presents constraint programming (CP) models of increasing complexity to solve large instances with hundreds of patients and nurses in a few seconds using the Comet optimization system. The CP models use the recent spread global constraint to minimize the variance, as well as an exact decomposition technique.