Operations and Supply Chain Management The Core

186 OPERATIONS AND SUPPLY CHAIN MANAGEMENT
LO6–4 SOLVED PROBLEM 2
The following tasks must be performed on an assembly line in the sequence and times specified:
TASK
A
B
C
D
E
F
G
H
TASK TIME
(SECONDS)
50
40
20
45
20
25
10
35
TASKS THAT MUST
PRECEDE
—
—
A
C
C
D
E
B, F, G
a. Draw the schematic diagram.
b. What is the theoretical minimum number of stations required to meet a forecast demand of
400 units per eight-hour day?
c. Use the longest-task-time rule and balance the line in the minimum number of stations to
produce 400 units per day.
Solution
a.
50 20
A
C
40
B
45
D
20
E
25
F
10
G
35
H
b. The theoretical minimum number of stations to meet D = 400 is
​N​ t ​ = ​ __ T C ​ = ​ ________________________________
245 seconds
​ = ____ ​ 245 ​ = 3.4 stations​
60 seconds × 480 minutes
​ ______________________________
​
( 400 units
​) ​ 72
c.
TASK
TASK TIME
(SECONDS)
REMAINING
UNASSIGNED TIME
FEASIBLE
REMAINING TASK
Station 1
Station 2
Station 3
A
C
D
F
B
E
G
50
20
45
25
40
20
10
22
2
27
2
32
12
2
C
None
E, F
None
E
G
None
Station 4 H 35 37 None