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DATA ENVELOPMENT ANALYSIS 199

18 Western Family Restaurant offers a variety of low-cost meals and quick service. Other than
management, the restaurant operates with two full-time employees who work eight hours
per day. The rest of the employees are part-time employees who are scheduled for four-
hour shifts during peak meal times. On Saturdays the restaurant is open from 11:00 A.M.to
10:00 P.M. Management wants to develop a schedule for part-time employees that will
minimize labour costs and still provide excellent customer service. The average wage rate
for the part-time employees is E7.60 per hour. The total number of full-time and part-time
employees needed varies with the time of day as shown.

Time Total Number of Employees Needed
11:00 A.M.–Noon 9
Noon–1:00 P.M. 9
1:00 P.M.–2:00 P.M. 9
2:00 P.M.–3:00 P.M. 3
3:00 P.M.–4:00 P.M. 3
4:00 P.M.–5:00 P.M. 3
5:00 P.M.–6:00 P.M. 6
6:00 P.M.–7:00 P.M. 12
7:00 P.M.–8:00 P.M. 12
8:00 P.M.–9:00 P.M. 7
9:00 P.M.–10:00 P.M. 7

One full-time employee comes on duty at 11:00 A.M., works four hours, takes an hour off, and
returns for another four hours. The other full-time employee comes to work at 1:00 P.M.and
works the same four-hours-on, one-hour-off, four-hours-on pattern.
a. Develop a minimum-cost schedule for part-time employees.
b. What is the total payroll for the part-time employees? How many part-time shifts are
needed? Use the surplus variables to comment on the desirability of scheduling at least
some of the part-time employees for three-hour shifts.
c. Assume that part-time employees can be assigned either a three-hour or four-hour
shift. Develop a minimum-cost schedule for the part-time employees. How many
part-time shifts are needed, and what is the cost savings compared to the previous
schedule?
19 The Quick and Easy operates five fast-food restaurants in the UK. Input measures for the
restaurants include weekly hours of operation, full-time equivalent staff and weekly supply
expenses. Output measures of performance include average weekly contribution to profit,
market share and annual growth rate. Data for the input and output measures are shown in
the following tables.

Input Measures
Restaurant Hours of Operation FTE Staff Supplies (£)

London 96 16 850
Manchester 110 22 1 400
Edinburgh 100 18 1 200
Bristol 125 25 1 500
Cardiff 120 24 1 600

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