Mazy’s Department Store has decided to stay open for business on a 24-hour basis. The store manager has divided the 24-hour day into six 4-hour periods and has determined the following minimum personnel requirements for each period: Time Personnel Needed Midnight ~ 4:00 a.m. 95 4:00 a.m. ~ 8:00 a.m. 220 8:00 a.m. ~ Noon 270 Noon ~ 4:00 p.m. 75 4:00 p.m. ~ 8:00 p.m. 310 8:00 p.m. ~ Midnight 130 Store personnel must report to work at the beginning of one of these time periods and must work for 8 consecutive hours. The store manager wants to know the minimum number of employees to assign to each 4-hour segment to minimize the total number of employees.

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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Mazy’s Department Store has decided to stay open for business on a 24-hour basis. The store
manager has divided the 24-hour day into six 4-hour periods and has determined the following
minimum personnel requirements for each period:
Time Personnel Needed
Midnight ~ 4:00 a.m. 95
4:00 a.m. ~ 8:00 a.m. 220
8:00 a.m. ~ Noon 270
Noon ~ 4:00 p.m. 75
4:00 p.m. ~ 8:00 p.m. 310
8:00 p.m. ~ Midnight 130
Store personnel must report to work at the beginning of one of these time periods and must
work for 8 consecutive hours. The store manager wants to know the minimum number of
employees to assign to each 4-hour segment to minimize the total number of employees.

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