  Overcrowding in Emergency Departments (EDs) is particularly problematic
during seasonal epidemic crises. Each year during this period, EDs set off
recourse actions to cope with the increase in workload. Uncertainty in the
length and amplitude of epidemics make managerial decisions difficult. We
propose in this study a staff allocation model to manage the situation using
on-calls. An on-call scheduling policy is proposed to best balance between
demand coverage and labor cost under legal constraints of working time. The
problem is modelled as a two-stage stochastic Integer Linear Program (ILP) and
solved using a Sample Average Approximation (SAA) method. Several epidemic
scenarios are defined with data from an ED in Lille, France.
