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# Calculating Cycle Times and Theoretical Minimum

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9.11 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:
IMMEDIATE
PREDECESSORS
IMMEDIATE
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 workstations that Rosenberg can achieve in this assembly line?
c) Can the theoretical minimum actually be reached when workstations are assigned?

#### Solution Summary

A detailed explanation of how to calculate cycle times, theoretical minimum, and how to determine the combination that generates the highest efficiency levels in the assembly line.

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## Determining cycle time for required output

A company is setting up an assembly line to produce 120 units per hour. The table below identifies the work elements, times, and immediate predecessors.
Work Element Time (Sec.) Immediate Predecessor(s)
A 21 ---
B 20 A
C 25 A
D 20 B
E 10 B
F 15 C
G 10 C
H 12 D,E
I 12 F,G
J 20 H,I

a) What cycle time is required to satisfy the required output?
b) What is the theoretical minimum number of stations?
c) Balance the assembly line so that it will produce 120 units per hour. Clearly state which decision rule you are using and the work elements assigned to each station.
d) What is the efficiency of the line you found in part c?

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