8. An initial solution has been given to the following workcenter layout problem. Give the flows decribed and a cost of $2.00 per unit per foot, compute the total cost for the layoyut.
Each location is 100 feet long and 50 feet wide as shown in the following figure. Use the centers of departments for distances and measure distance using metropolitan-rectilinear distance.
| |
|
Department |
|
|
|
| |
|
A |
B |
C |
D |
| Department |
A |
0 |
10 |
25 |
55 |
| |
B |
|
0 |
10 |
5 |
| |
C |
|
|
0 |
15 |
| |
D |
|
|
|
0 |
| |
100' |
100' |
100' |
|
| 50' |
A |
B |
C |
50' |
| |
|
|
D |
50' |
9. An assembly line is to be designed to operate 7 1/2 hours per day and supply a steady demand of 300 units per day. Here are the tasks and their performance times:
| |
|
PERFORMANCE |
|
|
|
PERFORMANCE |
| |
PRECEDING |
TIME |
|
|
PRECEDING |
TIME |
| TASK |
TASKS |
(SECONDS) |
|
TASK |
TASKS |
(SECONDS) |
| a |
|
70 |
|
g |
d |
60 |
| b |
|
40 |
|
h |
e |
50 |
| c |
|
45 |
|
i |
f |
15 |
| d |
a |
10 |
|
j |
g |
25 |
| e |
b |
30 |
|
k |
h,i |
20 |
| f |
c |
20 |
|
l |
j,k |
25 |
a. Draw the precedence diagram.
b. What is the workstation cycle time required to produce 300 units per day?
c. What is the theorectical minimum number of workstations?
d. Assign tasks to workstations using th longest operating time.
e. What is the efficiency of your line balance, assuming it is running at the cycle time from part (b)?
f. Suppose demand increases by 10 percent. How would you react to this? Asusme that you can operate only 7 1/2 hours per day.