Optimization on human and material resources in Emergency Department

Emergency Departments (ED) is the center of the hospital management's efforts. It constitutes a complex system with limited resources and random demands. The goal of this paper is to optimize the number of the human and material resources. We focus particularly on medical staff (physicians and nurses) and beds in emergency department. We propose a mixed integer linear programming (MILP) that minimizes the number of waiting patients. We consider simultaneously four patients' queue. To solve this model, we use the solver ILOG CPLEX Optimization Studio. The program has been tested on a set of instances. Numerical results show that the number of waiting patients decreased by optimizing the number of the human and material resources.