A nursing home must schedule nurses in a manner that balances providing adequate patient care while keeping costs down. From historical records, administrators can project the minimum number of nurses to have on hand during each day/time slot. This data is shown below. Shift Time Slot Minimum number of nurses needed 1 12 am-4 10 2 4 am-8 6 3 8 am-12 8 4 12 pm-4 12 5 4 pm-8 10 6 8 pm-12 14 Nurses must start work at the beginning of one of the four-hour shifts (starting as early as 12 am midnight or as late as 8pm evening) and work for eight hours. Nurses who begin working at 8 pm will work until 4 am the next morning.  Formulate and solve the nurse-scheduling problem so as to minimize excess stagging while satisfying minimum staffing requrements. What is the value of total excess staffing?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A nursing home must schedule nurses in a manner that balances providing adequate patient care while keeping costs down. From historical records, administrators can project the minimum number of nurses to have on hand during each day/time slot. This data is shown below.

Shift Time Slot Minimum number of nurses needed
1 12 am-4 10
2 4 am-8 6
3 8 am-12 8
4 12 pm-4 12
5 4 pm-8 10
6 8 pm-12 14

Nurses must start work at the beginning of one of the four-hour shifts (starting as early as 12 am midnight or as late as 8pm evening) and work for eight hours. Nurses who begin working at 8 pm will work until 4 am the next morning. 

Formulate and solve the nurse-scheduling problem so as to minimize excess stagging while satisfying minimum staffing requrements.

What is the value of total excess staffing?

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