High demand but limited staffs within some services of a hospital require a proper scheduling of staff and patients. In this
study, a hierarchical mathematical model is proposed to generate weekly staff scheduling. Due to computational difficulty
of this scheduling problem, the entire model is broken down into manageable three hierarchical stages: (1) selection of patients,
(2) assignment of patients to the staff, (3) scheduling of patients throughout a day. The developed models were tested on
the data collected in College of Medicine Research Hospital at Cukurova University using GAMS and MPL optimization packages
. From the results of the case study, the presented hierarchical model provided a schedule that ensures to maximize the number
of selected patients, to balance the workload of physiotherapist, and to minimize waiting time of patients in their treatment
day.
Keywords Hospital services - Mathematical programming - Staff scheduling - Hierarchical mathematical model - Balanced workload