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The discrepancy between patient demand and the emergency departments (ED)capacity, that mainly depends on human resources and on beds available forpatients, often lead to ED's overcrowding and to the increase in waiting time.In this paper, we focus on the optimization of the human (medical andparamedical staff) and material resources (beds) in the ED of the hospitalcenter of Troyes, France (CHT). We seek to minimize the total number of waitingpatients from their arrival to their discharge. We propose a mixed integerlinear program solved by a sample average approximation (SAA) approach. Theprogram has been tested on a set of real data gathered from the ED informationsystem. Numerical results show that the optimization of human and materialresources leads to a decrease of total number of waiting patients.

A Mixed Integer Linear Program For Human And Material Resources Optimization In Emergency Department