The Uncertainty in the Home Health Care Assignment Problem

This paper presents an assignment problem in the home health care structures. In this problem, we search to assign caregivers to patients during a mid-term and long-term planning horizon while considering the caregivers' skills and capacity. Moreover, we take into account the randomness of thepatients' demands due to a change in their profiles or to addition of new patients through the planning horizon. As aim we balance the caregivers' workload and secure the continuity of the care. We usethe Monte Carlo method in a deterministic way to represent the randomness of the patients' demand in the mixed integer programming model we developed.