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Sizing and scheduling a full-time and part-time workforce with off-day and off-weekend constraints

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Abstract

Consider an organization operating seven days a week. Staffing requirements are specified for a single shift of workers, and are assumed constant Monday through Friday, though weekend levels may differ. Furthermore, full-time employees can be supplemented by part-time workers. We consider two types of part-timers, one limited in numbers and less costly than full-timers, the other more costly and available in any number. Assuming each full-timer must have two days off per week and A out of B weekends off, we present formulas for the most economical mix of workers and an algorithm that produces a feasible schedule.

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Emmons, H., Fuh, DS. Sizing and scheduling a full-time and part-time workforce with off-day and off-weekend constraints. Annals of Operations Research 70, 473–492 (1997). https://doi.org/10.1023/A:1018998826960

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