Question

The operations manager of an instruments company is balancing an assembly line. The company needs to build 96 instruments per 24-hour day. The assembly line activities are:

Task Time (min) Predecessor A 3 None В 6 None C 7 А D 5 AB E 2 B F 4 с G 5 F H 7 DE 1 Η J 6 E K 4 GI,J

a. Draw the precedence diagram.

b. If the daily (24-hour) production rate is 96 units, what is the greatest possible cycle time?

c. If the cycle time after allowances is given as 10 minutes, what is the daily (24-hour) production rate?

d. With a 10-minute cycle time, what is the theoretical minimum number of stations with which the line can be balanced?

e. With a 10-minute cycle time and six workstations, what is the efficiency?

f. What is the total idle time per cycle with a 10-minute cycle time and six workstations?

g. Create a workstation assignment to balance the line with a 10-minute cycle time. What is its efficiency?

Answer 1

7 Ч ( ВО— 0 — @ s 7 (н - в 6 2

Cycle time = time avilable / units to be produced = 24x60/96 =15 minutes

which is the maximum possible cycle time.

(iii) For 10 min, cycle time, the production rate will be 24x60/10 = 144 units

(iv)Min number of stations ( theoretical) = task time / cycle time = 50/10=5

However practically, more tations will be needed.

Efficiency with 6 workstations = Task time / Cycle time x Number of WS

= 50/6x10=0.8333 =83.33%

Idle time per cycle = 6x10-50=10 min.

WS	Tasks	Time	Idle time
I	A,B	9	1
II	C,	7	3
III	D,E	7	3
Iv	F,G	9	1
V	H,I	8	2
VI	J,K	10	0