Problem : a to g) A production line is to be designed to produce modems. The production tasks, their times, and their precedence requirements are shown in the table below.
Task Time(min) Predecessor(s)
a 0.6 -
b 0.3 a
c 0.8 -
d 0.7 -
e 0.4 c,d
f 0.8 b,e
g 0.5 f
h 0.9 f
i 0.2 g
j 0.1 h,i
a. Develop the precedence diagram.
b. If the production line operates 8 hours per day, what is the maximum production rate and what is the minimum production rate?
c. Calculate the number of followers for each task (show your answer on the precedence diagram).
d. If the production line is targeted to produce 300 modems per day, what is the cycle time?
e. What is the theoretical minimum number of stations for producing 300 modems per day?
f. Form work stations using the most number of followers rule. Break ties with the longest processing time rule. Use a cycle time of 1.6 minutes.
g. Calculate the efficiency and the production rate of the assembly line balanced in part f.