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Social Science Clinic => Business => Management => Topic started by: Davideckstein7 on Dec 3, 2019

Title: A firm is planning to set up an assembly line to assemble 40 units per hour, and 57 minutes per hour ...
Post by: Davideckstein7 on Dec 3, 2019

A firm is planning to set up an assembly line to assemble 40 units per hour, and 57 minutes per hour are productive. The time to perform each task and the tasks which precede each task are:

Task	Preceding Task	Time to perform (min.)
A	--	.69
B	A	.55
C	B	.92
D	B	.59
E	B	.70
F	B	1.10
G	C, D, E	.75
H	G, F	.43
I	H	.29

a. Draw a network diagram of precedence relationships.
b. Compute the required cycle time per unit in minutes.
c. Compute the theoretical minimum number of workstations required to produce 40 units per hour.
d. Balance this line using longest processing time.
e. What is the efficiency of the line obtained in part d?

Title: A firm is planning to set up an assembly line to assemble 40 units per hour, and 57 minutes per hour ...
Post by: yasmin on Dec 3, 2019

(a) The appropriate diagram appears below. (b) Cycle time is 57/40 = 1.425 minutes. (c) The theoretical minimum number of stations required is 6.02/1.425 = 4.22 or 5. (d) The balanced line appears in the software output panel below. (e) The line's efficiency is 6.02 / 8.55 = 70.4%

Station	Task	Time (minutes)	Time left (minutes)	Ready tasks
				A
1	A	0.69	0.735	B
	B	0.55	0.185	C,D,E,F
2	F	1.1	0.325	C,D,E
3	C	0.92	0.505	D,E
4	E	0.7	0.725	D
	D	0.59	0.135	G
5	G	0.75	0.675	H
	H	0.43	0.245	I
6	I	0.29	1.135
Summary Statistics
Cycle time	1.425	minutes
Time allocated (cycle time ∗ #)	8.549999	minutes/cycle
Time needed (sum of task times)	6.02	minutes/unit
Idle time (allocated-needed)	2.529999	minutes/cycle
Efficiency (needed/allocated)	70.40936%
Balance Delay (1-efficiency)	29.59064%
Min (theoretical) # of stations	5

Title: Re: A firm is planning to set up an assembly line to assemble 40 units per hour, and 57 minutes per
Post by: Rupesh ghimire on Jul 31, 2020

Thank you