The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. An officer beginning a shift at one of these times works for the next 8 hours. During normal weekday operations, the number of officers needed varies depending on the time of day. The department staffing guidelines require the following minimum number of officers on duty:     Time of Day Minimum No. of Officers on Duty   8:00 a.m.–noon 7   Noon–4:00 p.m. 6   4:00 p.m.–8:00 p.m. 9   8:00 p.m.–midnight 7   Midnight–4:00 a.m. 4   4:00 a.m.–8:00 a.m. 6   Determine the number of police officers that should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. If your answer is zero, enter “0”.     Starting Time Officers Starting   8:00 a.m.     Noon     4:00 p.m.     8:00 p.m.     Midnight     4:00 a.m.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.6: The Effects Of Input Distributions On Results
Problem 28P
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The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. An officer beginning a shift at one of these times works for the next 8 hours. During normal weekday operations, the number of officers needed varies depending on the time of day. The department staffing guidelines require the following minimum number of officers on duty:

 

  Time of Day Minimum No. of Officers on Duty
  8:00 a.m.–noon 7
  Noon–4:00 p.m. 6
  4:00 p.m.–8:00 p.m. 9
  8:00 p.m.–midnight 7
  Midnight–4:00 a.m. 4
  4:00 a.m.–8:00 a.m. 6

 

Determine the number of police officers that should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. If your answer is zero, enter “0”.

 

  Starting Time Officers Starting
  8:00 a.m.  
  Noon  
  4:00 p.m.  
  8:00 p.m.  
  Midnight  
  4:00 a.m.  

 

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