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Stanford Rosenberg Computing wants to establish an assembly line for producing a new product, the Personal Digital Assistant (PDA). The tasks, task times, and immediate predecessors for the tasks are as follows:

Task Time (sec) Immediate Predecessors
A 12 -
B 15 A
C 8 A
D 5 B,C
E 20 D

Rosenberg's goal is to produce 180 PDAs per hour.

a. What is the cycle time?
b. What is the theoretical minimum for the number of work-stations that Rosenberg can achieve in this assembly line?
c. What is the idle time?

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Answer:

Explanation:

a. cycle time = Total time available/ production rate required

cycle time = (60*60)/180 = 3600/180 = 20sec per unit

b. theoretical minimum for the number of work-stations that Rosenberg can achieve in this assembly line.

Total task time = 12+15+8+5+20 = 60

theoretical minimum for the number of work-stations = Total task time/cycle time

theoretical minimum for the number of work-stations = 60/20 = 3stations

c. idle time

standard hour for the job is calculated as

standard hours allowed for actual production = unit produced * labor time required

The question does not contain the required information to solve it. Information such standard hours is not given.

The cycle time will be 20 seconds per unit while the theoretical minimum is 3 stations.

The cycle time will be calculated thus:

= Total time available / Production rate required

= 3600 / 180

= 20 seconds per unit.

The total task time will be:

= 12 + 15 + 8 + 5 + 20

= 60 seconds.

The theoretical minimum will be:

= 60 / 20 = 3 stations.

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