Staff Scheduling

Problem: Meeting personnel needs at minimum cost.

In Staff Scheduling problems, the goal is to meet specified manpower requirements at minimum cost. In general, the schedule must meet certain conditions, such as those imposed by regulations or union contracts, including minimum shift length, number of work breaks, or maximum overtime hours.

These models have applications in the scheduling of airline flight crews, hospital and office staffs, and restaurant personnel, to name just a few.

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You are running a business with daily staff needs on varying work loads each day of the week.

The daily staff needs range from 120 to 190 people.

In addition, there's a labor requirement. Employees must work a five consecutive day workweek, followed by two days off. Thus, the allowable shifts are Monday through Friday, Tuesday through Saturday, Wednesday through Sunday, etc. Each employee earns $200 per week.

The objective is to cover staff needs with five-day shifts at minimum weekly payroll cost.

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