Business, 27.02.2020 17:40 genyjoannerubiera
The bank is working to develop an efficient work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank including adequate customer service, employee breaks, and so on. On Fridays the bank is open from 9:00 A. M. to 7:00 P. M. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here.
Time Number of Tellers Time Number of Tellers
9:00 a. m.-10:00 a. m. 6 2:00 p. m.-3:00 p. m. 6
10:00 a. m.-11:00 a. m. 4 3:00 p. m.-4:00 p. m. 4
11:00 a. m.-Noon 8 4:00 p. m.-5:00 p. m. 7
Noon-1:00 p. m. 10 5:00 p. m.-6:00 p. m. 6
1:00 p. m.-2:00 p. m. 9 6:00 p. m.-7:00 p. m. 6
Each full-time employee starts on the hour and works a 4-hour shift, followed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour. Considering salary and fringe benefits, full-time employees cost the bank $15 per hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day).
Required:
Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. (Hint: Let xi = number of full-time employees coming on duty at the beginning of hour i and yi = number of part-time employees coming on duty at the beginning of hour i.)
Answers: 3
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