Maintenance at a major theme park in central Florida is an ongoing process that occurs 24 hours a day. Because it is a long drive from most residential areas to the park, employees do not like to work shifts of fewer than eight hours. These eighthour shifts start every four hours throughout the day. The number of maintenance workers needed at different times throughout the day varies. The following table summarizes the minimum number of employees needed in each four-hour time period. Time Period Needed        Minimum Employees  12 a.m. – 4 a.m.               80 4 a.m. – 8 a.m.                 210 8 a.m. – 12 p.m.               245 12 p.m. – 4 p.m.               160 4 p.m. – 8 p.m.                  295 8 p.m. – 12 a.m.                120 The maintenance supervisor wants to determine the minimum number of employees to schedule that meets the minimum staffing requirements. 1. Formulate the LP model for this problem. 2. Create the spreadsheet model and use Solver to solve the problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Maintenance at a major theme park in central Florida is an ongoing process that
occurs 24 hours a day. Because it is a long drive from most residential areas to the
park, employees do not like to work shifts of fewer than eight hours. These eighthour shifts start every four hours throughout the day. The number of maintenance workers needed at different times throughout the day varies. The following table summarizes the minimum number of employees needed in each four-hour time period.

Time Period Needed        Minimum Employees 
12 a.m. – 4 a.m.               80
4 a.m. – 8 a.m.                 210
8 a.m. – 12 p.m.               245
12 p.m. – 4 p.m.               160
4 p.m. – 8 p.m.                  295
8 p.m. – 12 a.m.                120

The maintenance supervisor wants to determine the minimum number of
employees to schedule that meets the minimum staffing requirements.
1. Formulate the LP model for this problem.
2. Create the spreadsheet model and use Solver to solve the problem.

Maintenance at a major theme park in central Florida is an ongoing process that
occurs 24 hours a day. Because it is a long drive from most residential areas to the
park, employees do not like to work shifts of fewer than eight hours. These eight-
hour shifts start every four hours throughout the day. The number of maintenance
workers needed at different times throughout the day varies. The following table
summarizes the minimum number of employees needed in each four-hour time
period.
Time Period
Minimum Employees
Needed
12 a.m.
4 a.m.
80
4 a.m. – 8 a.m.
210
8 a.m. – 12 p.m.
12 р.m. — 4 р.m.
4 р.m. — 8 p.m.
8 р.m. - 12 а.m.
245
160
295
120
The maintenance supervisor wants to determine the minimum number of
employees to schedule that meets the minimum staffing requirements.
1. Formulate the LP model for this problem.
2. Create the spreadsheet model and use Solver to solve the problem.
Transcribed Image Text:Maintenance at a major theme park in central Florida is an ongoing process that occurs 24 hours a day. Because it is a long drive from most residential areas to the park, employees do not like to work shifts of fewer than eight hours. These eight- hour shifts start every four hours throughout the day. The number of maintenance workers needed at different times throughout the day varies. The following table summarizes the minimum number of employees needed in each four-hour time period. Time Period Minimum Employees Needed 12 a.m. 4 a.m. 80 4 a.m. – 8 a.m. 210 8 a.m. – 12 p.m. 12 р.m. — 4 р.m. 4 р.m. — 8 p.m. 8 р.m. - 12 а.m. 245 160 295 120 The maintenance supervisor wants to determine the minimum number of employees to schedule that meets the minimum staffing requirements. 1. Formulate the LP model for this problem. 2. Create the spreadsheet model and use Solver to solve the problem.
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