62259348 8 Line Balancing Problems
Q. 2. Dr. Wu, Operations Manager at NESA Electronics, prides herself on excellent assembly line balancing. She has been told that the firm needs to produce 1400 electric relays per work day. Due to breaks and lunch, there are only 420 working minutes each day. The following table lists the tasks, precedence relationships, and average task time required to produce a relay.
Tasks Time
Must Follow Tasks
(Sec)
A
13
B
4
A
C
10
B
D
10
E
6
D
F
12
E
G
5
E
H
6
F, G
I
7
H
J
5
H
K
4
I, J
L
15
C, K
(a) Compute the maximum cycle time NESA can have and still produce 1400 relays per day
(b) Compute the theoretical minimum number of work stations required.
(c) Construct an assembly line that attempts to minimize the number of work stations while producing at least 1400 units per day
(d) For your solution in part (c) of this question, compute the actual cycle time and the actual production rate that would result, and
Q. 1. The pre-induction physical examination given by the US army involves the following seven activities:
S. No.
Activity
Average Time (Minutes)
1.
Medical History
10
2.
Blood Tests
8
3.
Eye Examination
5
4.
Measurements (i.e. weight, height, BP etc.)
7
5.
Medical Examination
16
6.
Psychological Interview
12
7.
Exit Medical Evaluation
10
The activities can be performed in any order, with two exceptions: the medical history must be taken first and the exit evaluation in the last step. At present, there are three paramedics and two physicians on duty during each shift. Only a physician can perform the exit evaluation or conduct the psychological interview. Other activities can be carried out by either physicians or paramedics.
(i) Develop a layout and balance the line. How many people can be processed per hour?
(ii) What activity is the current bottleneck?
(iii) If one more physician and one more paramedic can be placed on duty, how would you redraw the layout? What is the new throughput?
Tasks Time
Must Follow Tasks
(Sec)
A
13
B
4
A
C
10
B
D
10
E
6
D
F
12
E
G
5
E
H
6
F, G
I
7
H
J
5
H
K
4
I, J
L
15
C, K
(a) Compute the maximum cycle time NESA can have and still produce 1400 relays per day
(b) Compute the theoretical minimum number of work stations required.
(c) Construct an assembly line that attempts to minimize the number of work stations while producing at least 1400 units per day
(d) For your solution in part (c) of this question, compute the actual cycle time and the actual production rate that would result, and
Q. 1. The pre-induction physical examination given by the US army involves the following seven activities:
S. No.
Activity
Average Time (Minutes)
1.
Medical History
10
2.
Blood Tests
8
3.
Eye Examination
5
4.
Measurements (i.e. weight, height, BP etc.)
7
5.
Medical Examination
16
6.
Psychological Interview
12
7.
Exit Medical Evaluation
10
The activities can be performed in any order, with two exceptions: the medical history must be taken first and the exit evaluation in the last step. At present, there are three paramedics and two physicians on duty during each shift. Only a physician can perform the exit evaluation or conduct the psychological interview. Other activities can be carried out by either physicians or paramedics.
(i) Develop a layout and balance the line. How many people can be processed per hour?
(ii) What activity is the current bottleneck?
(iii) If one more physician and one more paramedic can be placed on duty, how would you redraw the layout? What is the new throughput?