The emergency room at a hospital estimates the following requirements for registered nurses (RNs) for the late night shift each week. Nurses work four consecutive days, then have off three days

Sunday Monday Tuesday Wednesday Thursday Friday Saturday
3 4 2 2 3 6 4

Perform cyclical scheduling on the data. (Note that you must identify three-day patterns of minimum requirements). How many RNs are required? How much extra capacity is required?


Days off are shaded. Seven full-time RNs are needed; an eighth works Friday only. A total of 29 shifts are used, while only 24 are required; thus 5 shifts represent excess capacity. This solution is not unique, as there are two instances where an arbitrary set of days was selected for minimum sum.

Business

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