A lexicographic approach to health care optimization: case studies

The objective of this project is to solve two optimization multi-criteria models (a bi-criteria one and a triple objective one) using a Lexicographic approach. These models are about the assignment of workers to the different job or services of a real hospital, taking into account the available budget and requirements of each job. The software used for solving it is AMPL programming language with solver CPLEX v9.1 that uses the Branch and Bound method. Both, Lexicographic approach and Branch and Bound method are also explained in this paper. Before the resolution of those models we show several optimization cases applied to health care institutions. We talk about nurse rostering problems, allocation and management problems.