A stochastic programming approach to the physician staffing and scheduling problem

Personnel scheduling during Covid-19 pandemic

“…δ + ew , δ − ew ≥ 0 e ∈ E, w ∈ W . (15) Objective function (3) minimizes the total deviation Δ between the amount of weekly contractual hours for each worker (h max e ) and the actual working hours (y wa se ). Constraints (4) impose that each employee must be weekly assigned to exactly one shift s ∈ {1, 2} and one sector a ∈ A.…”

“…Constraints (12) ensure the compatibility of designating an employee e ∈ E to work in sector a ∈ A. Finally, constraints (13)- (15) define the domain of the variables.…”

“…On the one hand, there is a rich body of literature on how governments can avoid the spread of pandemic diseases [e.g., 1 , 9 , 7 ], or how physicians can deal with certain scenarios arising in medical centers, where they are faced with a growing, sometimes even uncertain, demand for emergency care [ 15 , 21 ]. On the other hand, the same does not happen when it comes to investigating optimized personnel scheduling policies that take into account the risk of disease spreading in specific environments.…”

Mixed integer programming models for fairness based physician scheduling problem in emergency room

“…Regarding the trends on the literature of physician scheduling on emergency rooms, the integration of staffing and scheduling, as well as stochastic demand, e.g., Vermuyten et al (2018) and Marchesi, Hamacher and Fleck (2020) are two directions fellow OR practitioners in the emergency room must increase attention since the variability of patient arrival is a recurrent situation on emergency rooms.…”

“…This problem and ours do not have points in common when it is related to constraints, but resembles in the solution technique, as both use Mixed-Integer Programming model. Marchesi, Hamacher and Fleck (2020) proposes an integrated approach to physician staffing and scheduling applying Stochastic Optimization (SO) and Discrete Event Simulation (DES). In the physician staffing problem, the goal is to determine the ideal amount of physician staff per time interval, while disregarding the scheduling problem.…”