Question

a) The cycle time for the production of a PDA = ____ seconds.

b) The theoretical minimum number of workstations that Rosenburg can achieve in this assembly line = ____.

c) For one to assign the tasks to the actual workstations and be able to use the "theoretical minimum" number, the activity assignment should be: ???

d) Were you able to assign all the tasks to the theoretical minimum number of workstations? Yes or No.

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 Immediate Predecessor А B С D E Time (sec) 11 14 8 4 20 А А BC D Rosenberg's goal is to produce 180 PDAs per hour

Answer 1

a)

Demand rate = 180 PDA per hour = 180/(60*60) PDA per second = 1/20 PDA per second

Cycle time = 1/Demand rate in second = 1/(1/20) = 20 second

b)

Theoretical minimum number of workstations = Total task time/Cycle time = (11+14+8+4+20)/20 = 2.85

Hence, 3

c)

Workstation 1 = Let us start with A. Task time is 11 seconds. So, time left = 20-11 = 9 seconds

Hence, task C can also be assigned which has 8 seconds as task time

Workstation 1 = A,C

Workstation 2 = Assign B with task time 14 seconds. So, time left = 20-14 = 6 seconds.

Hence, task D with task time of 4 seconds can also be assigned

Workstation 2 = B,D

Workstation 3 = E

d)

Yes