Variations of the Example
day
required
Sun
1
1
Mon
2
0
Tue
3
3
Wed
4
3
Thur
5
3
Fri
6
3
Sat
7
2
Exercise
1. Company decides to hire a part-time person to work Tuesdays
to prevent 6-day work stretch.
2. What will happen if the part time worker is hired on Saturday instead
of Tuesday?
3. Or if the company asks for 1 weekend off out of 3 with the part time
worker on Saturday?
1
1. Full time demand on Tuesday is 2. W - n = 3 - 2 = 1
S S M T WT F S S M T WT F S S M T W
1 X X
2
X X
3
X X
day
required
Sj
1
Sun
1
1
0
2
Mon
0
3
2
1
3
Tue
2
1
4
Wed
3
0
...
5
Thur
3
0
6
Fri
3
0
7
Sat
2
0
0
2
Off-Days (n=2):
1. Sun/Mon
2. Mon/Tue
1
2
3
S S M T WT F
S S M T WT F
S S M T W
T2 X X
T4
T3
X
X X
X
T3
T2 X X X
T4
X
X X
T4
T3
T2 X X
X X
X
X
...
 The longest workstretch is 5 days.
3
2. The weekend demand is reduced to 1. W - n = 3 - 1 = 2
day
required
Sj
1
Sun
1
0
2
Mon
0
3
2
1
3
Tue
2
0
4
Wed
3
0
5
Thur
3
0
6
Fri
3
0
7
Sat
1
0
Off-Days (n=1):
1. Mon/Mon
1
2
3
S S M T WT F
S S M T WT F
S S M T W
T1 X X
T2 X X X
T3
X
T2 X X X
T3
T1 X X
X
T3
T1 X X
T2 X X X
X
...
 We are back to one employee working a 6-day stretch each week.
 However, everyone gets 2 out of 3weekends off.
4
3. One weekend is taken off. W - n = 3 - 2 = 1
day
required
Sj
1
Sun
1
1
0
Off-Days:
1. Sun/Mon
2. Mon/Sat
1
2
3
2
Mon
0
3
2
1
3
Tue
2
0
4
Wed
3
0
5
Thur
3
0
6
Fri
3
0
S S M T WT F
S S M T WT F
S S M T W
T2 X X
T4 X
T3 X
X
X
T3
T2 X X X
T4
X
X X
T4
T3
T2 X X
X X
X
7
Sat
2
1
0
...
 Everyone is back to 1 in 3 weekends off but the minimum
workstretch is only 5 days.
5