8-3 (Restaurant work scheduling problem) The famous Y. S. Chang Restaurant is open 24 hours a
day. Waiters and busboys report for duty at 3 A. M.,
7 A. M., 11 A. M., 3 P. M., 7 P. M., or 11 P. m., and each
works an 8-hour shift. The following table shows
the minimum number of workers needed during the
six periods into which the day is divided. Chang's
scheduling problem is to determine how many wait-
ers and busboys should report for work at the start of
each time period to minimize the total staff required
for one day's operation. (Hint: Let X; equal the num-
ber of waiters and busboys beginning work in time
period i, where i = 1, 2, 3, 4, 5, 6.)
PERIOD
TIME
NUMBER OF WAITERS
AND BUSBOYS REQUIRED
3
1
2
3
3 A. M.-7 A. M.
7 A. M.-11 A. M.
11 AM-3 P. M.
3 P. M.-7 P. M.
7 P. M.-11 P. M.
11 P. M.-3 AM
12
16
9
5
11