The desired daily output for an assembly line is 540 units. This assembly line w
ID: 418411 • Letter: T
Question
The desired daily output for an assembly line is 540 units. This assembly line will operate 630 minutes per day. The following table contains information on this product's task times and precedence relationships TASK TIME (SECONDS) 30 IMMEDIATE PREDECESSOR TASK 10 60 40 15 25 10 C-D F-G b. What is the required workstation cycle time to meet the desired output rate? Workstation cycle time c. Balance this line using the largest number of following tasks. Use the longest task time as a secondary criterion. (Leave no cells blank - seconds per unit be certain to enter "o" wherever required.) Work Station Task Idle Time V (Click to select) A-B-C A-C-D IV A-C-E A-B A-C d. What is the efficiency of your line balance, assuming it is running at the cycle time determined in part b? (Round your answer to1 decimal place.) EfficiencyExplanation / Answer
The Precedence diagram of activities as follows :
A
E
B
F
C
D
G
H
Required workstation cycle time to meet the desired output rate of 540 units
= 630 minutes x 60 seconds/ minute/ 540 units
=70 seconds / unit
WORKSTATION CYCLE TIME = 70 SECONDS/ UNIT
Total duration of all activities together
= 30 + 30 + 10 + 60 + 40 + 15 + 25 + 10
=220 seconds
Minimum number of workstations required to balance the line
= Total duration of all activities/ Required workstation cycle time
= 220/70
= 3.14 ( 4 rounded to nearest whole number )
MINIMUM NUMBE ROF WORKSTATIONS REQUIRED TO BALANCE THE LINE WILL BE 4
The Line will be balanced in such a way so that total duration of activities under any workstation should not exceed the cycle time of 70 seconds
The arrangement of workstations as per given criteria of largest number of following tasks followed by longest tsk time as secondary criterion is as follows :
WORKSTATION
ACTIVITIES
TOTAL DURATION ( SECONDS )
1
A, B, C
30 + 30 + 10 = 70
2
E, F
40 + 15 = 55
3
D
60
4
G, H
25 + 10 = 35
Efficiency of the line balance
= Total duration of all activities / ( Actual number of workstations x Cycle time ) x 100
= 220 / ( 4 x 70 ) x 100
= 220/280 x 100
= 78.57 %
EFFICIENCY OF THE LINE BALANCE = 78.57 %
A
E
B
F
C
D
G
H