The staffing needs are tabled below: Time of Day Minimum Staff on Duty 2-6 6-10
ID: 1719859 • Letter: T
Question
The staffing needs are tabled below:
Time of Day
Minimum Staff on Duty
2-6
6-10
10
10-14
6
14-18
9
18-22
10
22-2
6
Each staff member works eight consecutive hours and may be required to start at any hour. Those whose starting time falls between midnight and 6 am (inclusive) receive a 15% shift bonus. Determine how many employees must start at which times of day to meet these requirements with minimum cost. Use Lindo.
Time of Day
Minimum Staff on Duty
2-6
56-10
10
10-14
6
14-18
9
18-22
10
22-2
6
Explanation / Answer
min 1.15x1+x2+x3+x4+x5+1.15x6
st
x1+x2+x3+x4+x5+x6>=23
x1+x6>=5
x1+x2>10
x2+x3>=6
x3+x4>=9
x4+x5>=10
x5+x6>=6
x1>=0
x2>=0
x3>=0
x4>=0
x5>=0
x6>=0
end
Output:
OBJECTIVE FUNCTION VALUE
1) 25.75000
VARIABLE VALUE REDUCED COST
X1 0.000000 0.000000
X2 10.000000 0.000000
X3 0.000000 0.000000
X4 9.000000 0.000000
X5 1.000000 0.000000
X6 5.000000 0.000000
ROW SLACK OR SURPLUS DUAL PRICES
2) 2.000000 0.000000
3) 0.000000 -0.150000
4) 0.000000 -1.000000
5) 4.000000 0.000000
6) 0.000000 -1.000000
7) 0.000000 0.000000
8) 0.000000 -1.000000
9) 0.000000 0.000000
10) 10.000000 0.000000
11) 0.000000 0.000000
12) 9.000000 0.000000
13) 1.000000 0.000000
14) 5.000000 0.000000
NO. ITERATIONS= 8
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