Question

OPERATIONS AND SUPPLY CHAIN MANAGEMENT L06-4 SOLVED PROBLEM 2 TASKS THAT MUST PRECEDE TASK TIME (SECONDS) 50 TASK A B С D E F G H 40 20 45 20 25 10 35 A С С 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 ei 400 units per eight-hour day? c. Use the longest-task-time rule and balance the line in the minimum number of stations i produce 400 units per day. Solution The following tasks must be performed on an assembly line in the sequence and times specifieke

Answer 1

Question – a:

The activity network is:

D-45 F-25 A-50 C-20 E - 20 G-10 H-35 B - 40

Question – b:

Cycle time = time available/demand

Time available = 8 hours = 8*3600 seconds = 28800 seconds

Demand = 400

Cycle time = 28800/400 = 72 seconds

Minimum number of workstations = sum total of all task time/cycle time

Sum total of all task time = (50 + 40 + 20 + 45 + 20 + 25 + 10 + 35) = 245 seconds

Minimum number of workstations = 245/72 = 3.40 = 4

Answer is: 4

Question – c:

Arranging the tasks in decreasing order of task time:

Task	Time	Predecessors
A	50	-
D	45	C
B	40	-
H	35	B, F, G
F	25	D
C	20	A
E	20	C
G	10	E

Now allotting the tasks to workstations:

Workstations Task Time A Remaining Time Idle Time 50 22 20 2 2. С D 45 27 II 2 F 25 N B 40 32 III 20 2 E G 12 2 10 IV I 35 37 37

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